{"id":16068,"date":"2022-04-04T11:00:48","date_gmt":"2022-04-04T05:30:48","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=16068"},"modified":"2022-04-07T11:00:13","modified_gmt":"2022-04-07T05:30:13","slug":"big-ideas-math-answers-grade-5-chapter-7","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-7\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals"},"content":{"rendered":"<p><strong>Download Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals PDF<\/strong> for free. Learn every topic of BIM Grade 5 Chapter 7 Divide Decimals Answers. Make use of our material and check out the step-by-step explanation to learn all the concepts easily. Enjoy the learning of maths with the help of our <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">BIM Grade 5 Answer Key<\/a> for Chapter 7 Divide Decimals. Our complete guide will help you to score the best marks in the exam and also in your preparation. Therefore, without any second thought prepare with Big Ideas Math Book 5th class Answer Key Chapter 7 Divide Decimals and get a good score in the exam.<\/p>\n<h2>Big Ideas Chapter 7 Divide Decimals 5th Grade Math Book Answer Key<\/h2>\n<p>Find the best tips that make your students love to practice maths and encourage them to use them for easy practicing. We have also provided different tricks to solve all the math problems. <strong>Big Ideas math 5th grade Chapter 7 Divide Decimals textbook Answer Key<\/strong> is the best source for the students. All the relevant links of Divide Decimals are given below. Check the links and begin your practice now.<\/p>\n<p><strong>Lesson: 1 Division Pattern with Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.1_Division_Pattern_with_Decimals\">Lesson 7.1 Division Pattern with Decimals<\/a><\/li>\n<li><a href=\"#Division_Pattern_with_Decimals_Homework_&amp;_Practice_7.1\">Division Pattern with Decimals Homework &amp; Practice 7.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Estimate Decimals Quotients<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.2_Estimate_Decimals_Quotients\">Lesson 7.2 Estimate Decimals Quotients<\/a><\/li>\n<li><a href=\"#Estimate_Decimals_Quotients_Homework_&amp;_Practice_7.2\">Estimate Decimals Quotients Homework &amp; Practice 7.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Use Models to Divide Decimals by Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.3_Use_Models_to_Divide_Decimals_by_Whole_Numbers\">Lesson 7.3 Use Models to Divide Decimals by Whole Numbers<\/a><\/li>\n<li><a href=\"#Use_Models_to_Divide_Decimals_by_Whole_Numbers_Homework_&amp;_Practice_7.3\">Use Models to Divide Decimals by Whole Numbers Homework &amp; Practice 7.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Divide Decimals by One-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.4_Divide_Decimals_by_One_Digit_Numbers\">Lesson 7.4 Divide Decimals by One-Digit Numbers<\/a><\/li>\n<li><a href=\"#Divide_Decimals_by_One_Digit_Numbers_Homework_&amp;_Practice_7.4\">Divide Decimals by One-Digit Numbers Homework &amp; Practice 7.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Divide Decimals by Two-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.5_Divide_Decimals_by_Two_Digit_Numbers\">Lesson 7.5 Divide Decimals by Two-Digit Numbers<\/a><\/li>\n<li><a href=\"#Divide_Decimals_by_Two_Digit_Numbers_Homework_&amp;_Practice_7.5\">Divide Decimals by Two-Digit Numbers Homework &amp; Practice 7.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Use Models to Divide Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.6_Use_Models_to_Divide_Decimals\">Lesson 7.6 Use Models to Divide Decimals<\/a><\/li>\n<li><a href=\"#Use_Models_to_Divide_Decimals_Homework_&amp;_Practice_7.6\">Use Models to Divide Decimals Homework &amp; Practice 7.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Divide Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.7_Divide_Decimals\">Lesson 7.7 Divide Decimals<\/a><\/li>\n<li><a href=\"#Divide_Decimals_Homework_&amp;_Practice_7.7\">Divide Decimals Homework &amp; Practice 7.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 8 Insert Zeros in the Dividend<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.8_Insert_Zeros_in_the_Dividend\">Lesson 7.8 Insert Zeros in the Dividend<\/a><\/li>\n<li><a href=\"#Insert_Zeros_in_the_Dividend_Homework_&amp;_Practice_7.8\">Insert Zeros in the Dividend Homework &amp; Practice 7.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 9 Problem Solving: Decimal Operations<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_7.9_Problem_Solving:_Decimal_Operations\">Lesson 7.9 Problem Solving: Decimal Operations<\/a><\/li>\n<li><a href=\"#Problem_Solving:_Decimal_Operations_Homework_&amp;_Practice_7.9\">Problem Solving: Decimal Operations Homework &amp; Practice 7.9<\/a><\/li>\n<\/ul>\n<p><strong>Chapter: 7 &#8211; Divide Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Divide_Decimals_Performance_Task\">Divide Decimals Performance Task<\/a><\/li>\n<li><a href=\"#Divide_Decimals_Activity\">Divide Decimals Activity<\/a><\/li>\n<li><a href=\"#Divide_Decimals_Chapter_Practice\">Divide Decimals Chapter Practice<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_7.1_Division_Pattern_with_Decimals\"><\/a>Lesson 7.1 Division Pattern with Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the relationship between positions in a place value chart to find each quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16082\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 1\" width=\"576\" height=\"285\" data-wp-editing=\"1\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-1.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-1-300x148.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><br \/>\nWhat patterns do you notice?<br \/>\nAnswer:<\/p>\n<p><strong style=\"font-size: 16px;\">Structure<\/strong><\/p>\n<p>Describe the placement of the decimal point when dividing a decimal by 10, 100, 0.1, and 0.01.<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Division Pattern with Decimals<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 74 \u00f7 10<sup>3<\/sup>.<br \/>\nUse place value concepts. Every time you multiply a number by \\(\\frac{1}{10}\\) or divide a number by 10, each digit in the number shifts one position to the right in a place value chart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 2\" width=\"622\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-2.png 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-2-300x98.png 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><br \/>\nNotice the pattern: In each quotient, the number of places the decimal point moves to the left is the same as the exponent.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16084\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 3\" width=\"182\" height=\"236\" \/><br \/>\n<strong>Example<\/strong><br \/>\nFind 5.8 \u00f7 0.01.<br \/>\nUse place value concepts. Every time you multiply a number by 10 or divide a number by 0.1, each digit in the number shifts one position to the left in a place value chart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 4\" width=\"624\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-4.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-4-300x67.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><br \/>\nNotice the pattern: When you divide by 0.1, the decimal point moves one place to the right. When you divide by 0.01, the decimal point moves two places to the right.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n62.5 \u00f7 10<sup>2<\/sup> = ______<br \/>\nAnswer: 0.625<br \/>\nExplanation:\u00a0 First Simplify the 10<sup>2<\/sup> which means \u00a010X10 =100 then we need to calculate the fraction to a decimal just divide the numerator(62.5) by the denominator (100): 62.5 \u00f7 100 =0.625 so,\u00a0\u00a062.5\/100 =0.625<br \/>\nQuestion 2.<br \/>\n1.84 \u00f7 0.1 = ______<br \/>\nAnswer: 18.4<br \/>\nExplanation: To convert this simple fraction to a decimal just divide the numerator (1.84) by the denominator (0.1): 1.84 \u00f7 0.1 = 18.4 so, 1.84\/0.1 = 18.4<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n76 \u00f7 10 = ______<br \/>\nAnswer:\u00a0 7.6<br \/>\nExplanation: To convert this simple fraction to a decimal just divide the numerator (76) by the denominator (10): 76 \u00f7 10 = 7.6 so, 76\/10 = 7.6<br \/>\nQuestion 4.<br \/>\n3.65 \u00f7 0.1 = _______<br \/>\nAnswer: 36.5<br \/>\nExplanation: To convert this simple fraction to a decimal just divide the numerator (3.65) by the denominator (0.1): 3.65 \u00f7 0.1 = 36.5. so, 3.65\/0.1 = 36.5<br \/>\nQuestion 5.<br \/>\n2.9 \u00f7 0.01 = ______<br \/>\nAnswer: 290<br \/>\nExplanation: To convert this simple fraction to a decimal just divide the numerator (2.9) by the denominator (0.01): 2.9 \u00f7 0.01 = 290. so, 2.9\/0.01 = 290<br \/>\nQuestion 6.<br \/>\n18.7 \u00f7 10<sup>2<\/sup> = ______<br \/>\nAnswer: 0.187<br \/>\nExplanation: First Simplify the 10<sup>2<\/sup> which means \u00a010X10 =100 then we need to calculate the fraction to a decimal just divide the numerator(18.7) by the denominator (100): 18.7 \u00f7 100 =0.187 so,\u00a0 18.7\/100 =0.187<\/p>\n<p><strong>Find the value of k.<\/strong><br \/>\nQuestion 7.<br \/>\n95.8 \u00f7 k = 958<br \/>\nAnswer: K = 0.1<br \/>\nExplanation: Lets solve your equation step by step 95.8\/k = 958<br \/>\nMultiply both side by side K.<br \/>\n95.8 = 958K<br \/>\n958k = 95.8 (Flip the equation)<br \/>\n958k\/958 = 95.8\/958(Divide both sides by 958)<br \/>\nK=0.1<br \/>\nQuestion 8.<br \/>\nk \u00f7 10<sup>3<\/sup> = 0.35<br \/>\nAnswer: K =350<br \/>\nExplanation: <span style=\"font-size: 16px;\">K\u00f710<\/span><sup>3 <\/sup><span style=\"font-size: 16px;\">=0.35<br \/>\n<\/span>Step 1: calculate the value of the power which means 10<sup>3<\/sup> = 10x10x10=1000<br \/>\nk\/1000=0.35<br \/>\nstep 2: multiply both side by 1000<br \/>\n1000X K\/1000 = 1000X0.35<br \/>\nStep 3: simplify<br \/>\n<span style=\"text-decoration: line-through;\">1000<\/span> X K\/<span style=\"text-decoration: line-through;\">1000<\/span> = 1000X0.35<br \/>\nK = 350<br \/>\nQuestion 9.<br \/>\n245 \u00f7 k = 24,500<br \/>\nAnswer: K =0.01<br \/>\nExplanation: variable K cannot be equal to 0 since division by zero is not defined. Multiply both side of equation by K<br \/>\n245 = 24500K<br \/>\nswap sides so that all variables terms are on the left hand side<br \/>\n24500K = 245<br \/>\nDivide both sides by 24500.<br \/>\nK =245\/24500<br \/>\nReduces the fraction 245\/24500 to lowest terms by extracting and cancelling out 245<br \/>\nK = 1\/100 ,Therefore K = 0.01<br \/>\nQuestion 10.<br \/>\nNewton goes on a 10-day road trip. He takes $435 with him. He spends all of his money and spends the same amount each day. How much money does he spend each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16086\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 5\" width=\"142\" height=\"151\" \/><br \/>\nAnswer: $43.5\/per day<br \/>\nExplanation: Newton takes $435 for 10 days road trip.<br \/>\n435\/10 = 43.5<br \/>\nNewton Spend the money per day is = $43.5\/day<br \/>\nQuestion 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nFor which equations does b = 100?<br \/>\n49 \u00f7 b = 0.49<br \/>\n247 \u00f7 b = 0.247<br \/>\n1.3 \u00f7 b = 0.013<br \/>\n0.5 \u00f7 b = 0.05<br \/>\nAnswer:<\/p>\n<p>49 \u00f7 b = 0.49<\/p>\n<p>1.3 \u00f7 b = 0.013<\/p>\n<p>For these two equations b value should be 100.<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says 8,705 \u00f7 10<sup>3<\/sup> is equivalent 8,705 \u00d7 0.001. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>First simplify the 10<sup>3 <\/sup>which means\u00a0 10\u00a0<img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Ctimes\" alt=\"\\small \\times\" \/>\u00a010\u00a0<img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Ctimes\" alt=\"\\small \\times\" data-cke-saved-src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Ctimes\" \/>\u00a010 = 1000<\/p>\n<p>8,705 \u00f7 10<sup>3 <\/sup><\/p>\n<p>= 8,705 \u00f7 1000<br \/>\n= 8,705 <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Ctimes\" alt=\"\\small \\times\" \/> <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Cfrac%7B1%7D%7B1000%7D\" alt=\"\\small \\frac{1}{1000}\" \/><br \/>\n= 8,705 <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Ctimes\" alt=\"\\small \\times\" \/> 0.001<br \/>\n8,705 \u00f7 10<sup>3<\/sup> is equivalent 8,705 \u00d7 0.001<br \/>\nSo, my friend answer is correct.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA contractor buys 2 adjacent lots of land. One lot is 0.55 acre and the other is 1.65 acres. The contractor divides the land equally for 10 new homes. How much land does each home have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16087\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 6\" width=\"173\" height=\"192\" \/><br \/>\nTo find how much land each home has, divide the sum of the lot sizes by 10.<br \/>\nAdd the sizes of the lots.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16088\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 7\" width=\"103\" height=\"79\" \/><br \/>\nDivide the total number of acres by 10. Dividing 2.20 by 10, or 10<sup>1<\/sup>, shifts the digits ______ position to the right in a place value chart. So, the decimal point moves ______ place to the left.<br \/>\n2.20 \u00f7 10 = 2.20 \u00f7 10<sup>1<\/sup> = ______<br \/>\nEach home has ________ acre.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nAn art teacher has 68.5 pounds of clay and orders 56.5 more pounds. The teacher equally divides the clay among 100 students. How much clay does each student get?<br \/>\nAnswer:<br \/>\nTo find how much clay each student get, divide the sum of the clay by 100.<br \/>\nAdd the quantities of the clay.<br \/>\n68.5 + 56.5 = 125<br \/>\nDivide the total clay by 100. Dividing 125 by 100, or 10<sup>2<br \/>\n<\/sup>125 \u00f7 100 = 125 \u00f7 10<sup>2 <\/sup>= 1.25<br \/>\nEach student gets 1.25 pounds clay.<\/p>\n<p>Question 14.<br \/>\nA museum has a replica of the Space Needle that is 6.05 feet tall. It is one-hundredth of the height of the actual Space Needle. How tall is the actual Space Needle?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 8\" width=\"108\" height=\"223\" \/><br \/>\nAnswer:<br \/>\nReplica of the Space Needle height = 6.05 feet<br \/>\nLet actual Space Needle height = h<br \/>\n<img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B1%7D%7B100%7D\" alt=\"\\small \\frac{1}{100}\" \/> (h) = 6.05<br \/>\nh = 6.05 <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Ctimes\" alt=\"\\small \\times\" \/> 100 = 605<br \/>\nSo actual Space Needle height is 605 feet.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA pile of 10<sup>2<\/sup> loonies weighs 627 grams and a pile of 10<sup>2<\/sup> toonies weighs 730 grams. How much more does a toonie weigh than a loonie? Is there more than one way to solve the problem? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16090\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 9\" width=\"187\" height=\"148\" \/><br \/>\nAnswer:<br \/>\nA pile of 10<sup>2<\/sup> loonies weight = 627 grams<br \/>\nA pile of 10<sup>2<\/sup> toonies weight = 730 grams<br \/>\n730 &#8211; 627 = 103<br \/>\nToonie weighs 103 grams more than a loonie.<br \/>\nMethod &#8211; 2<br \/>\n1 loonie weight = <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B627%7D%7B10%5E%7B2%7D%7D\" alt=\"\\small \\frac{627}{10^{2}}\" \/> = 6.27<br \/>\n1 toonie weight = <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B730%7D%7B10%5E%7B2%7D%7D\" alt=\"\\small \\frac{730}{10^{2}}\" \/> = 7.30<br \/>\n7.30 &#8211; 6.27 = 1.03<br \/>\nFor 10<sup>2<\/sup> toonies and loonies = 1.03 x 10<sup>2<\/sup> = 103<br \/>\nToonie weighs 103 grams more than a loonie.<\/p>\n<h3><a id=\"Division_Pattern_with_Decimals_Homework_&amp;_Practice_7.1\"><\/a>Division Pattern with Decimals Homework &amp; Practice 7.1<\/h3>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n810 \u00f7 10 = ______<br \/>\nAnswer: 81<\/p>\n<p>Explanation:<br \/>\nTo convert this simple fraction to a decimal just divide the numerator (810) by the denominator (10):<br \/>\nWhen we divide by 10, the decimal point moves one place to the left.<br \/>\n810 \u00f7 10 = 81.<\/p>\n<p>Question 2.<br \/>\n7.4 \u00f7 0.01 = ______<br \/>\nAnswer: 740<\/p>\n<p>Explanation: To convert this simple fraction to a decimal just divide the numerator (7.4) by the denominator (0.01). When we divide by 0.01, the decimal point moves two places to the right. : 7.4 \u00f7 0.01 = 740.<\/p>\n<p>Question 3.<br \/>\n903 \u00f7 10<sup>3<\/sup> = ______<br \/>\nAnswer: 0.903<\/p>\n<p>First Simplify the 10<sup>3<\/sup> which means \u00a010 x 10 x 10 =1000, then we need to calculate the fraction to a decimal just divide the numerator (903) by the denominator (1000).<br \/>\nWhen we divide by 1000, the decimal point moves three places to the left.<\/p>\n<p>Question 4.<br \/>\n267.1 \u00f7 0.01 = ______<br \/>\nAnswer: 26710<\/p>\n<p>Explanation: To convert this simple fraction to a decimal just divide the numerator (267.1) by the denominator (0.01).<br \/>\nWhen we divide by 0.01, the decimal point moves two places to the right :<br \/>\n267.1 \u00f7 0.01 = 26710<\/p>\n<p>Question 5.<br \/>\n5.6 \u00f7 0.1 = ______<br \/>\nAnswer: 56<\/p>\n<p>Explanation: To convert this simple fraction to a decimal just divide the numerator (5.6) by the denominator (0.1).<br \/>\nWhen we divide by 0.1, the decimal point moves one place to the right :<br \/>\n5.6 \u00f7 0.1 = 56<\/p>\n<p>Question 6.<br \/>\n0.4 \u00f7 10<sup>2<\/sup> = ______<br \/>\nAnswer: 0.004<\/p>\n<p>First Simplify the 10<sup>2<\/sup> which means \u00a010 x 10 = 100, then we need to calculate the fraction to a decimal just divide the numerator (0.4) by the denominator (100).<br \/>\nWhen we divide by 100, the decimal point moves two places to the left :<br \/>\n0.4 \u00f7 100 = 0.004<\/p>\n<p><strong>Find the value of k.<\/strong><br \/>\nQuestion 7.<br \/>\n89 \u00f7 k = 8.9<br \/>\nAnswer: k = 10<\/p>\n<p>Explanation: Lets solve your equation step by step 89 \u00f7 k = 8.9<br \/>\nMultiply both sides by K.<br \/>\n89 = 8.9 K<br \/>\n8.9 K = 89 (Flip the equation)<\/p>\n<p><img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B8.9%20k%7D%7B8.9%7D\" alt=\"\\small \\frac{8.9 k}{8.9}\" \/>\u00a0 = <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B89%7D%7B8.9%7D\" alt=\"\\small \\frac{89}{8.9}\" \/> \u00a0(Divide both sides by 8.9)<br \/>\nk = 10<\/p>\n<p>Question 8.<br \/>\nk \u00f7 0.01 = 36<br \/>\nAnswer: k = 0.36<\/p>\n<p><img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7Bk%7D%7B0.01%7D\" alt=\"\\small \\frac{k}{0.01}\" \/> = 36<br \/>\nMultiply both sides by 0.01<br \/>\n<img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7Bk%7D%7B0.01%7D\" alt=\"\\small \\frac{k}{0.01}\" \/> x 0.01 = 36 x 0.01<br \/>\nk = 0.36<\/p>\n<p>Question 9.<br \/>\n72.4 \u00f7 0.724<br \/>\nAnswer: 100<\/p>\n<p>To convert this simple fraction to a decimal just divide the numerator (72.4) by the denominator (0.724).<\/p>\n<p>Question 10.<br \/>\nA box of 100 sanitizing wipes costs $12. How much does one wipe cost?<br \/>\nAnswer:<br \/>\n100 sanitizing wipes = $12<br \/>\none wipe cost = <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Cbg_white%20%5Csmall%20%5Cfrac%7B12%7D%7B100%7D\" alt=\"\\small \\frac{12}{100}\" \/> = $0.12<br \/>\nWhen we divide by 100, the decimal point moves two places to the left.<\/p>\n<p>Question 11.<br \/>\n<strong>Patterns<\/strong><br \/>\nHow does the value of a number change when you divide by 10? 100? 1,000?<br \/>\nAnswer:<br \/>\nWhen we divide by 10, the decimal point moves one place to the left.<br \/>\nWhen we divide by 100, the decimal point moves two places to the left.<br \/>\nWhen we divide by 1000, the decimal point moves three places to the left.<\/p>\n<p>Question 12.<br \/>\n<strong>Writing<\/strong><br \/>\nHow can you determine where to place the decimal point when dividing 61 by 1,000?<br \/>\nAnswer:<\/p>\n<p><img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B61%7D%7B1000%7D\" alt=\"\\small \\frac{61}{1000}\" \/><br \/>\nWhen we divide by 1000, the decimal point moves three places to the left.<br \/>\nso, <img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B61%7D%7B1000%7D\" alt=\"\\small \\frac{61}{1000}\" \/> = 0.061<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhat is Newton\u2019s number?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16091\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.1 10\" width=\"197\" height=\"171\" \/><br \/>\nAnswer:<br \/>\n3.4 is the number.<br \/>\n57 &#8211; 23 = 34<br \/>\n34 x 0.1 = 3.4<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA family buys 2 personal watercrafts for $3,495 each. The family makes 10 equal payments for the watercrafts. What is the amount of each payment?<br \/>\nAnswer:<br \/>\nTo find amount of each payment, divide the sum of the personal watercrafts by 10.<br \/>\nAdd 2 personal watercrafts.<br \/>\n3,495 + 3,495 = 6990<br \/>\nDivide the total sum by 10. Dividing 6990 by 10, or 10<sup>1<br \/>\n<\/sup>6990 \u00f7 10 = 6990 \u00f7 10<sup>1 <\/sup>= 699<br \/>\nSo, the amount of each payment = $699.<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA group of people attempts to bake the largest vegan cake. They use 17 kilograms of cocoa powder, which is one-tenth the amount of kilograms of dates they use. How many kilograms of cocoa power and dates do they use altogether?<br \/>\nAnswer:<br \/>\nCocoa powder = 17 kilograms<br \/>\nLet dates amount = d<br \/>\n(1\/10)d = 17<br \/>\ndates(d) = 17 x 10 = 170 kilograms<br \/>\nSum of cocoa power and dates = 17 + 170 = 187 kilograms<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the sum or difference.<\/strong><br \/>\nQuestion 16.<br \/>\n0.75 &#8211; 0.23 = ______<br \/>\nAnswer: 0.52<\/p>\n<p>Question 17.<br \/>\n1.46 + 1.97 = ______<br \/>\nAnswer: 3.43<\/p>\n<h3><a id=\"Lesson_7.2_Estimate_Decimals_Quotients\"><\/a>Lesson 7.2 Estimate Decimals Quotients<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Choose an expression to estimate each quotient. Write the expression. You may use an expression more than once.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 1\" width=\"579\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-1.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-1-300x112.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\nCompare your answers with a partner. Did you choose the same expressions?<br \/>\nAnswer:<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nWhich estimated quotient do you think will be closer to the quotient 8.3 \u00f7 2.1? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16093\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 2\" width=\"115\" height=\"143\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Estimate Decimals Quotients<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nYou can use compatible numbers to estimate quotients involving decimals. When the divisor is greater than the dividend, rename the dividend as tenths or hundredths, then divide.<br \/>\n<strong>Example<\/strong><br \/>\nEstimate 146.26 \u00f7 41.2.<br \/>\nRound the divisor 41.2 to 40.<br \/>\nThink: What numbers close to 146.26 are easily divided by 40?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16094\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 3\" width=\"540\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-3.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-3-300x49.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><br \/>\nChoose 160 because 146.26 is closer to 160. So, 146.26 \u00f7 41.2 is about _____.<\/p>\n<p><strong>Example<\/strong><br \/>\nEstimate 4.2 \u00f7 8.<br \/>\nRename 4.2 as tenths.<br \/>\n4.2 is 42 tenths. 42 tenths is close to40 tenths. 40 and 8 are compatible numbers.<br \/>\n40 tenths \u00f7 8 = _______ tenths, or ______<br \/>\nSo, 4.2 \u00f7 8 is about ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n17.4 \u00f7 3.1<br \/>\nAnswer:<br \/>\nRound the divisor 3.1 to 3.<br \/>\nThink: What numbers close to 17.4 are easily divided by 3?<br \/>\nUse 18.<br \/>\n18 \u00f7 3 = 6<br \/>\nSo, 17.4 \u00f7 3.1 is about 6.<\/p>\n<p>Question 2.<br \/>\n57.5 \u00f7 6.89<br \/>\nAnswer:<br \/>\nRound the divisor 6.89 to 7.<br \/>\nThink: What numbers close to 57.5 are easily divided by 7?<br \/>\nUse 56.<br \/>\n56 \u00f7 7 = 8<br \/>\nSo, 57.5 \u00f7 6.89 is about 8.<\/p>\n<p>Question 3.<br \/>\n3.7 \u00f7 5<br \/>\nAnswer:<br \/>\nRename 3.7 as tenths<br \/>\n3.7 is 37 tenths. 37 is close to 35.<br \/>\n35 tenths \u00f7 5 = 7 tenths or 0.7<br \/>\nSo, 3.7 \u00f7 5 is about 0.7<\/p>\n<p>Question 4.<br \/>\n25.8 \u00f7 30<br \/>\nAnswer:<br \/>\nRename 25.8 as tenths<br \/>\n25.8 is 258 tenths. 258 is close to 270.<br \/>\n270 tenths \u00f7 30 = 9 tenths or 0.9<br \/>\nSo, 25.8 \u00f7 30 is about 0.9<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 5.<br \/>\n3.5 \u00f7 6<br \/>\nAnswer:<br \/>\nRename 3.5 as tenths<br \/>\n3.5 is 35 tenths. 35 is close to 36.<br \/>\n36 tenths \u00f7 6 = 6 tenths or 0.6<br \/>\nSo, 3.5 \u00f7 6 is about 0.6<\/p>\n<p>Question 6.<br \/>\n1.87 \u00f7 9<br \/>\nAnswer:<br \/>\nRename 1.87 as tenths<br \/>\n1.87 is 18.7 tenths. 18.7 is close to 18.<br \/>\n18 tenths \u00f7 9 = 2 tenths or 0.2<br \/>\nSo, 1.87 \u00f7 9 is about 0.2<\/p>\n<p>Question 7.<br \/>\n46 \u00f7 2.3<br \/>\nAnswer:<br \/>\nRound the divisor 2.3 to 2.<br \/>\n46 \u00f7 2 = 23<\/p>\n<p>Question 8.<br \/>\n31.1 \u00f7 6.5<br \/>\nAnswer:<br \/>\nRound the divisor 6.5 to 6.<br \/>\n31.1 is closer to 30.<br \/>\n30 \u00f7 6 = 5<br \/>\nSo, 31.1 \u00f7 6.5 is about 5.<\/p>\n<p>Question 9.<br \/>\n91.08 \u00f7 5.2<br \/>\nAnswer:<br \/>\nRound the divisor 5.2 to 5.<br \/>\n91.08 is closer to 90.<br \/>\n90 \u00f7 5 = 18<br \/>\nSo, 91.08 \u00f7 5.2 is about 18.<\/p>\n<p>Question 10.<br \/>\n137.14 \u00f7 12.2<br \/>\nAnswer:<br \/>\nRound the divisor 12.2 to 12.<br \/>\n137.14 is closer to 144.<br \/>\n12 and 144 are compatible numbers.<br \/>\n144 \u00f7 12 = 12<br \/>\nSo, 137.14 \u00f7 12.2 is about 12.<\/p>\n<p>Question 11.<br \/>\nA group of 6 friends goes ice skating. They pay $43.50 altogether for admission and skate rental. The friends share the cost equally. How much does each friend pay?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16095\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 4\" width=\"147\" height=\"165\" \/><br \/>\nAnswer:<br \/>\nTotal amount paid = $43.50<br \/>\n6 friends goes ice skating.<br \/>\n43.5 is closer to 42.<br \/>\n42 \u00f7 6 = 7<br \/>\nSo, each friend pay about $7.<\/p>\n<p>Question 12.<br \/>\n<strong>Reasoning<\/strong><br \/>\nDescartes estimates 43.2 \u00f7 7.3 using mental math. Do you think he uses 43 \u00f7 7 or 42 \u00f7 7? Explain.<br \/>\nAnswer:<br \/>\nRound the divisor 7.3 to 7<br \/>\nThink: What numbers close to 43.2 are easily divided by 7?<br \/>\nUse 42.<br \/>\n42 and 7 are compatible numbers.<br \/>\n42 \u00f7 7 = 6<br \/>\nSo, 42 \u00f7 7 is correct.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nDescribe a division situation in which an estimate of two decimals is appropriate.<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYour friend types 25 words each minute. About how many more words can your friend type each minute than you?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 5\" width=\"176\" height=\"112\" \/><br \/>\nTo find how many words you can type each minute, divide the number of words you type in 15 minutes by 15.<br \/>\nThink: What numbers close to 307.5 are easily divided by 15?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 6\" width=\"524\" height=\"91\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-6.png 524w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-6-300x52.png 300w\" sizes=\"(max-width: 524px) 100vw, 524px\" \/><br \/>\nChoose 300 because 307.5 is closer to 300. So, 307.5 \u00f7 15 is about _______.<br \/>\nSo, you type about _______ words each minute.<br \/>\nSubtract the words you type each minute from the words your friend types each minute.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16098\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 7\" width=\"65\" height=\"74\" \/><br \/>\nYour friend can type about ______ more words each minute than you.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nNewton subscribes to a television streaming service and buys a gym membership. He spends $143.99 on the streaming service for 12 months. About how much more does it cost each month for the gym membership than the streaming service?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16099\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 8\" width=\"164\" height=\"131\" \/><br \/>\nAnswer:<br \/>\nTo find much more does it cost each month, divide how much he spends for 12 months by 12.<br \/>\nThink: What numbers close to $143.99 are easily divided by 12?<br \/>\nUse 144<br \/>\n144 \u00f7 12 = 12<br \/>\nGym Membership each month = $19.99 = $20<br \/>\n20 &#8211; 12 = $8<br \/>\nThe gym membership costs $8 more than the streaming service.<\/p>\n<p>Question 15.<br \/>\nA fish tank pump filters 158.5 gallons of water each hour. About how many gallons of water does the pump filter each minute?<br \/>\nAnswer:<br \/>\nFish tank pump filters 158.5 gallons of water<br \/>\n1 hour = 60 minutes<br \/>\nThink: What numbers close to 158.5 are easily divided by 60?<br \/>\nUse 180<br \/>\n180 \u00f7 60 = 3<br \/>\nPump filters about 3 gallons of water each minute.<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA group of 32 students goes to a museum and a play. The total cost for the museum is $358.98 and the total cost for the play is $256.48. About how much does it cost for each student to go to the museum and the play?<br \/>\nAnswer:<br \/>\nCost for museum = $358.98<br \/>\nCost for the play = $256.48<br \/>\n358.98 + 256.48 = $615.46<br \/>\nThink: What numbers close to 615.46 are easily divided by 32?<br \/>\nUse 608. It is closer to 615.46<br \/>\n608 \u00f7 32 = $19<br \/>\nEach student go to the museum and the play costs about $19.<\/p>\n<h3><a id=\"Estimate_Decimals_Quotients_Homework_&amp;_Practice_7.2\"><\/a>Estimate Decimals Quotients Homework &amp; Practice 7.2<\/h3>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n2.3 \u00f7 6<br \/>\nAnswer:<br \/>\nRename 2.3 as tenths<br \/>\n2.3 is 23 tenths. 23 is close to 24.<br \/>\n24 tenths \u00f7 6 = 4 tenths or 0.4<br \/>\nSo, 2.3 \u00f7 6 is about 0.4<\/p>\n<p>Question 2.<br \/>\n1.67 \u00f7 8<br \/>\nAnswer:<br \/>\nRename 1.67 as hundredths<br \/>\n1.67 is 167 hundredths. 167 is close to 168.<br \/>\n168 hundredths \u00f7 8 = 21 hundredths or 0.21<br \/>\nSo, 1.67 \u00f7 8 is about 0.21<\/p>\n<p>Question 3.<br \/>\n28 \u00f7 4.7<br \/>\nAnswer:<br \/>\nRound the divisor 4.7 to 5<br \/>\n28 is closer to 30<br \/>\n30 \u00f7 5 = 6<br \/>\nSo, 28 \u00f7 4.7 is about 6.<\/p>\n<p>Question 4.<br \/>\n13.8 \u00f7 4.9<br \/>\nAnswer:<br \/>\nRound the divisor 4.9 to 5<br \/>\nThink: What numbers close to 13.8 are easily divided by 5?<br \/>\nUse 15.<br \/>\n15 \u00f7 5 = 3<br \/>\nSo, 13.8 \u00f7 4.9 is about 3.<\/p>\n<p>Question 5.<br \/>\n42.1 \u00f7 7.3<br \/>\nAnswer:<br \/>\nRound the divisor 7.3 to 7<br \/>\nThink: What numbers close to 42.1 are easily divided by 7?<br \/>\nUse 42.<br \/>\n42 \u00f7 7 = 6<br \/>\nSo, 42.1 \u00f7 7.3 is about 6.<\/p>\n<p>Question 6.<br \/>\n201.94 \u00f7 18.1<br \/>\nAnswer:<br \/>\nRound the divisor 18.1 to 18<br \/>\nThink: What numbers close to 201.94 are easily divided by 18?<br \/>\nUse 198.<br \/>\n198 \u00f7 18 = 11<br \/>\nSo, 201.94 \u00f7 18.1 is about 11.<\/p>\n<p>Question 7.<br \/>\nA carpenter has a plank of wood that is 121.92 centimeters long. He cuts the plank into 4 equal pieces. About how long is each piece?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16100\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 9\" width=\"194\" height=\"162\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nPlank of wood = 121.92 cm long<br \/>\n121.92 is closer to 120.<br \/>\n120 \u00f7 4 = 30<br \/>\nSo, each piece is 30 cm long.<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nA family used 9.8 gallons of gasoline to drive 275.5 miles. To determine how far they drove using one gallon of gasoline, can they use an estimate, or is an exact answer required? Explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\n9.8 gallons of gasoline drives = 275.5 miles<br \/>\n1 gallon = 275.5 \u00f7 9.8<br \/>\nDivisor 9.8 is rounded to 10.<br \/>\n275.5 is closer to 276.<br \/>\n276 \u00f7 10 is about 27.6<\/p>\n<p>Question 9.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says 9 \u00f7 2.5 is about 3. Is your friend\u2019s estimate reasonable? Explain.<br \/>\nAnswer:<br \/>\nRound the divisor 2.5 to 3.<br \/>\n9 \u00f7 3 =3<br \/>\nSo, my friend&#8217;s estimate is reasonable.<\/p>\n<p><strong>Number Sense<\/strong><br \/>\n<strong>Without calculating, tell whether the quotient is greater than or less than 1. Explain.<\/strong><br \/>\nQuestion 10.<br \/>\n4.58 \u00f7 0.3<br \/>\nAnswer:<br \/>\nWhen the dividend is greater than the divisor, the quotient is <strong>greater than 1.<\/strong><\/p>\n<p>Question 11.<br \/>\n0.6 \u00f7 12<br \/>\nAnswer:<br \/>\nWhen the divisor is greater than the dividend, the quotient is <strong>less than 1.<\/strong><\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe maximum allowed flow rate for a shower head in California is 42.5 gallons of water in 17 minutes. About how much greater is this than the maximum allowed flow rate for a kitchen faucet in California?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16101\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 10\" width=\"249\" height=\"101\" \/><br \/>\nAnswer:<br \/>\nTo find much much greater it is, divide how much gallons of water in 17 minutes by 17.<br \/>\nThink: What numbers close to 42.5 are easily divided by 17?<br \/>\nUse 34. 34 is closer to 42.5.<br \/>\n34 \u00f7 17 =2<br \/>\nKitchen faucet = 2.2 gallons<br \/>\n2.2 &#8211; 2 = 0.2<br \/>\nShower head in California is about <strong>0.2 gallons<\/strong> greater than the maximum allowed flow rate for a kitchen faucet in California.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nTo compare the amounts in the table, you assume the same amount of snow fell each hour for 24 hours. About how many more inches of snow fell in Colorado each hour than in Utah?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16102\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.2-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.2 11\" width=\"154\" height=\"167\" \/><br \/>\nAnswer:<br \/>\nTime t = 24 hours<br \/>\nColorado snowfall = 75.8 is closer to 72<br \/>\nIllinois snowfall = 37.8<br \/>\nUtah snowfall = 55.5 is closer to 48<br \/>\n(72 &#8211; 48)\/24 = 1<br \/>\nSnow fall in Colorado each hour is about 1 inch more than in Utah.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 14.<br \/>\n56 \u00d7 78 = _____<br \/>\nAnswer: 4368<\/p>\n<p>Question 15.<br \/>\n902 \u00d7 27 = ______<br \/>\nAnswer: 24,354<\/p>\n<p>Question 16.<br \/>\n4,602 \u00d7 35 = _______<br \/>\nAnswer: 1,61,070<\/p>\n<h3><a id=\"Lesson_7.3_Use_Models_to_Divide_Decimals_by_Whole_Numbers\"><\/a>Lesson 7.3 Use Models to Divide Decimals by Whole Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16103\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 1\" width=\"415\" height=\"306\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-1.png 415w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-1-300x221.png 300w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhen you divide a decimal by a whole number, what does the quotient represent?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Use Models to Divide Decimals<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse a model to find 2.16 \u00f7 3.<br \/>\nThink: 2.16 is 2 ones, 1 tenth, and 6 hundredths.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16104\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 2\" width=\"614\" height=\"311\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-2.png 614w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-2-300x152.png 300w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><br \/>\n\u2022 21 tenths can be divided equally as 3 groups of _______ tenths.<br \/>\n\u2022 6 hundredths can be divided equally as 3 groups of _______ hundredths.<br \/>\nSo, 216 hundredths can be divided equally as 3 groups of _______ hundredths.<br \/>\nSo, 2.16 \u00f7 3 = _______<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the model to find 3.25 \u00f7 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16105\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 3\" width=\"540\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-3.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-3-300x79.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><br \/>\n3.25 \u00f7 5 = ______<br \/>\nAnswer:<br \/>\nThink: 3.25 is 3 ones, 2 tenths and 5 hundredths.<br \/>\n32 tenths can be divided equally as 5 groups<br \/>\nSo, 325 hundredths can be divided equally as 5 groups<br \/>\nSo, 3.25 \u00f7 5 = 0.65<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 2.<br \/>\n2.4 \u00f7 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16106\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 4\" width=\"404\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-4.png 404w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-4-300x106.png 300w\" sizes=\"(max-width: 404px) 100vw, 404px\" \/><br \/>\nAnswer:<br \/>\nThink: 2.4 is 2 ones and 4 tenths<br \/>\n24 tenths can be divided equally as 4 groups of 6 tenths.<br \/>\nSo, 2.4 \u00f7 4 = 6 tenths = 0.6<\/p>\n<p>Question 3.<br \/>\n1.36 \u00f7 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16107\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 5\" width=\"288\" height=\"142\" \/><br \/>\nAnswer:<br \/>\nThink: 1.36 is 1 ones, 3 tenth and 6 hundredths.<br \/>\n13 tenths can be divided equally as 2 groups<br \/>\nSo, 136 hundredths can be divided equally as 2 groups<br \/>\nSo, 1.36 \u00f7 2 = 0.68<\/p>\n<p><strong>Use a model to find the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n1.5 \u00f7 3<br \/>\nAnswer:<br \/>\nThink: 1.5 is 1 ones and 5 tenths<br \/>\n15 tenths can be divided equally as 3 groups of 5 tenths.<br \/>\nSo, 1.5 \u00f7 3 = 5 tenths = 0.5<\/p>\n<p>Question 5.<br \/>\n2.7 \u00f7 9<br \/>\nAnswer:<br \/>\nThink: 2.7 is 2 ones and 7 tenths<br \/>\n27 tenths can be divided equally as 9 groups of 3 tenths.<br \/>\nSo, 2.7 \u00f7 9 = 3 tenths = 0.3<\/p>\n<p>Question 6.<br \/>\n1.44 \u00f7 8<br \/>\nAnswer:<br \/>\nThink: 1.44 is 1 ones, 4 tenth and 4 hundredths.<br \/>\n14 tenths can be divided equally as 8 groups<br \/>\nSo, 144 hundredths can be divided equally as 8 groups<br \/>\nSo, 1.44 \u00f7 8 = 0.18<\/p>\n<p>Question 7.<br \/>\n3.12 \u00f7 6<br \/>\nAnswer:<br \/>\nThink: 3.12 is 3 ones, 1 tenth and 2 hundredths.<br \/>\n31 tenths can be divided equally as 6 groups<br \/>\nSo, 312 hundredths can be divided equally as 6 groups<br \/>\nSo, 3.12 \u00f7 6 = 0.52<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nDo you start dividing the ones first when finding 5.95 \u00f7 7? Explain.<br \/>\nAnswer:<br \/>\nThink: 5.95 is 5 ones, 9 tenth and 5 hundredths.<br \/>\nWe have to start dividing the tenths first because 5 ones is less than 7.<br \/>\n59 tenths can be divided equally as 7 groups<br \/>\nSo, 595 hundredths can be divided equally as 7 groups<br \/>\nSo, 5.95 \u00f7 7 = 0.85<\/p>\n<p>Question 9.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWithout dividing, determine whether the quotient of 9.85 and 5 is greater than or less than 2. Explain.<br \/>\nAnswer: Quotient of 9.85 and 5 is less than 2, because 5 x 2 =10 and 9.85 is less than 10.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA bag of 3 racquetballs weighs 4.2 ounces. What is the weight of each racquetball?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16108\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 6\" width=\"205\" height=\"138\" \/><br \/>\nDivide the weight of the bag by 3 to find the weight of each racquetball.<br \/>\nThink: 4.2 is 4 ones and 2 tenths.<br \/>\nShade 42 tenths to represent 4.2. Divide the model to show 3 equal groups.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16109\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 7\" width=\"661\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-7.png 661w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-7-300x65.png 300w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><br \/>\n42 tenths can be divided equally as 3 groups of ______ tenths.<br \/>\n4.2 \u00f7 3 = ______<br \/>\nSo, each racquetball weighs ______ ounces.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nYou cut a 3.75-foot-long string into 5 pieces of equal length to make a beaded wind chime. What is the length of each piece of string?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16110\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 8\" width=\"81\" height=\"158\" \/><br \/>\nAnswer:<br \/>\nDivide the length of the string by 5 to find the length of each piece of string.<br \/>\nThink: 3.75 is 3 ones, 7 tenths and 5 hundredths.<br \/>\n37 tenths can be divided equally as 5 groups of 7 tenths with remainder 2. Remainder has to place before 5 hundredths.<br \/>\n25 hundredths can be divided equally as 5 groups of 5 hundredths.<br \/>\nSo, 375 hundredths can be divided equally as 5 groups of 75 hundredths.<br \/>\n3.75 \u00f7 5 = 0.75<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou pay $5.49 for 3 pounds of plums and $6.36 for 4 pounds of peaches. Which fruit costs more per pound? How much more?<br \/>\nAnswer:<br \/>\nThink: 5.49 is 5 ones, 4 tenths and 9 hundredths.<br \/>\n5 ones can be divided equally as 3 groups of <strong>1 ones<\/strong> with remainder 2. Remainder has to place before 4 tenths.<br \/>\n24 tenths can be divided equally as 3 groups of <strong>8 tenths<br \/>\n<\/strong>9 hundredths can be divided equally as 3 groups of <strong>3 hundredths<br \/>\n<\/strong>So, 549 hundredths can be divided equally as 3 groups of 183 hundredths.<br \/>\nPlums = 5.49 \u00f7 3 = 1.83<br \/>\nThink: 6.36 is 6 ones, 3 tenths and 6 hundredths.<br \/>\n6 ones can be divided equally as 4 groups of <strong>1 ones<\/strong> with remainder 2. Remainder has to place before 3 tenths.<br \/>\n23 tenths can be divided equally as 4 groups of <strong>5 tenths <\/strong>with remainder 3. Remainder has to place before\u00a06 hundredths.<br \/>\n36 hundredths can be divided equally as 4 groups of <strong>9\u00a0hundredths<br \/>\n<\/strong>So, 636 hundredths can be divided equally as 4 groups of 159 hundredths.<br \/>\nPeaches = 6.36 \u00f7 4 = 1.59<br \/>\n1.83 &#8211; 1.59 = 0.24<br \/>\nSo, plums costs 0.24 more per pound than peaches.<\/p>\n<h3><a id=\"Use_Models_to_Divide_Decimals_by_Whole_Numbers_Homework_&amp;_Practice_7.3\"><\/a>Use Models to Divide Decimals by Whole Numbers Homework &amp; Practice 7.3<\/h3>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n1.5 \u00f7 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16111\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 9\" width=\"282\" height=\"142\" \/><br \/>\nAnswer:<br \/>\nThink: 1.5 is 1 ones and 5 tenths<br \/>\n15 tenths can be divided equally as 5 groups of <strong>3 tenths<\/strong>.<br \/>\nSo, 1.5 \u00f7 5 = 3 tenths = 0.3<\/p>\n<p>Question 2.<br \/>\n2.55 \u00f7 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16112\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-10.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 10\" width=\"407\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-10.png 407w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-10-300x105.png 300w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><br \/>\nAnswer:<br \/>\nThink: 2.55 is 2 ones, 5 tenths and 5 hundredths.<br \/>\n25 tenths can be divided equally as 3 groups of <strong>8 tenths<\/strong> with remainder 1. Remainder has to place before 5 hundredths.<br \/>\n15 hundredths can be divided equally as 3 groups of <strong>5 hundredths<\/strong>.<br \/>\nSo, 255 hundredths can be divided equally as 3 groups of 85 hundredths.<br \/>\n2.55 \u00f7 3 = 0.85<\/p>\n<p><strong>Use a model to find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n1.6 \u00f7 8<br \/>\nAnswer:<br \/>\nThink: 1.6 is 1 ones and 6 tenths<br \/>\n16 tenths can be divided equally as 8 groups of <strong>2 tenths<\/strong>.<br \/>\nSo, 1.6 \u00f7 8 = 2 tenths = 0.2<\/p>\n<p>Question 4.<br \/>\n2.1 \u00f7 7<br \/>\nAnswer:<br \/>\nThink: 2.1 is 2 ones and 1 tenths<br \/>\n21 tenths can be divided equally as 7 groups of <strong>3 tenths<\/strong>.<br \/>\nSo, 2.1 \u00f7 7 = 3tenths = 0.3<\/p>\n<p>Question 5.<br \/>\n1.56 \u00f7 2<br \/>\nAnswer:<br \/>\nThink: 1.56 is 1 ones, 5 tenths and 6 hundredths.<br \/>\n15 tenths can be divided equally as 2 groups of <strong>7 tenths<\/strong> with remainder 1. Remainder has to place before 6 hundredths.<br \/>\n16 hundredths can be divided equally as 2 groups of <strong>8 hundredths<\/strong>.<br \/>\nSo, 156 hundredths can be divided equally as 2 groups of 78 hundredths.<br \/>\n1.56 \u00f7 2 = 0.78<\/p>\n<p>Question 6.<br \/>\n2.84 \u00f7 4<br \/>\nAnswer:<br \/>\nThink: 2.84 is 2 ones, 8 tenths and 4 hundredths.<br \/>\n28 tenths can be divided equally as 4 groups of <strong>7 tenths.<br \/>\n<\/strong>4 hundredths can be divided equally as 4 groups of <strong>1\u00a0hundredths.<br \/>\n<\/strong>So, 284 hundredths can be divided equally as 4 groups of 71 hundredths.<br \/>\n2.84 \u00f7 4 = 0.71<\/p>\n<p>Question 7.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite a decimal division equation represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16113\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.3-11.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.3 11\" width=\"279\" height=\"154\" \/><br \/>\nAnswer:<br \/>\n1.8 \u00f7\u00a0 3<\/p>\n<p>Question 8.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how dividing a decimal by a whole number is similar to dividing a whole number by a whole number.<br \/>\nAnswer:<br \/>\nWhen dividing a decimal by a whole number, f<span style=\"font-size: 16px;\">irst we will\u00a0<\/span>divide<span style=\"font-size: 16px;\">\u00a0the\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0by the\u00a0<\/span>whole number<span style=\"font-size: 16px;\">\u00a0ignoring\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0point. Now put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the quotient same as the<\/span><span style=\"font-size: 16px;\">\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> places in the dividend.<br \/>\n<\/span><span style=\"font-size: 16px;\">So , dividing a decimal by a whole number is similar to dividing a whole number by a whole number.<\/span><\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA designer learns there are 5.08 centimeters in 2 inches. How many centimeters are in 1 inch?<br \/>\nAnswer:<br \/>\n5.08 \u00f7 2<br \/>\nThink: 5.08 is 5 ones, 0 tenths and 8 hundredths.<br \/>\n50 tenths can be divided equally as 2 groups of <strong>25\u00a0tenths.<br \/>\n<\/strong>8 hundredths can be divided equally as 2 groups of <strong>4\u00a0hundredths.<br \/>\n<\/strong>So, 508 hundredths can be divided equally as 2 groups of 254 hundredths.<br \/>\nSo, <strong>2.54 cm<\/strong> are in 1 inch.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton buys 4 gallons of gasoline. He pays $8.64. How much does 1 gallon of gasoline cost?<br \/>\nAnswer:<br \/>\n8.64 \u00f7 4<br \/>\nThink: 8.64 is 8 ones, 6 tenths and 4 hundredths.<br \/>\n8 ones can be divided equally as 4 groups of <strong>2 ones.<br \/>\n<\/strong>6 tenths can be divided equally as 4 groups of <strong>1 tenths <\/strong>with remainder 2. Remainder has to place before 4 hundredths.<br \/>\n24 hundredths can be divided equally as 4 groups of <strong>6\u00a0hundredths.<br \/>\n<\/strong>So, 864 hundredths can be divided equally as 4 groups of 216 hundredths.<br \/>\n1 gallon of gasoline cost is 216 hundredths = <strong>$2.16<\/strong><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product. Explain the strategy you used.<\/strong><br \/>\nQuestion 11.<br \/>\n0.9 \u00d7 1.1 = ______<br \/>\nAnswer:<br \/>\nFirst multiply 9 x 11 = 99, then <span style=\"font-size: 16px;\">put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the answer as <\/span><span style=\"font-size: 16px;\">sum of the <\/span>decimal<span style=\"font-size: 16px;\"> places in the both numbers.<br \/>\n<\/span><span style=\"font-size: 16px;\">decimal places = 1 + 1 = 2<br \/>\n<\/span>99 after putting decimal places = 0.99<\/p>\n<p>Question 12.<br \/>\n1.2 \u00d7 2.7 = ______<br \/>\nAnswer:<br \/>\nFirst multiply 12 x 27 = 324 then <span style=\"font-size: 16px;\">put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the answer as <\/span><span style=\"font-size: 16px;\">sum of the <\/span>decimal<span style=\"font-size: 16px;\"> places in the both numbers.<br \/>\n<\/span><span style=\"font-size: 16px;\">decimal places = 1 + 1 = 2<br \/>\n<\/span>324 after putting decimal places = 3.24<\/p>\n<p>Question 13.<br \/>\n1.4 \u00d7 0.8 = ______<br \/>\nAnswer: 1.12<\/p>\n<h3><a id=\"Lesson_7.4_Divide_Decimals_by_One_Digit_Numbers\"><\/a>Lesson 7.4 Divide Decimals by One-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16114\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 1\" width=\"425\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-1.png 425w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-1-300x141.png 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><br \/>\nWhat pattern do you notice in the placement of the decimal point?<br \/>\nAnswer:<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow is dividing decimals by one-digit whole numbers similar to dividing whole numbers?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Divide Decimals by One-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind<br \/>\nFind 7.38 \u00f7 6. Estimate ________<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16115\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 2\" width=\"648\" height=\"639\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-2.png 648w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-2-300x296.png 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 2 ]{ 9.16 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n9 \u00f7 2<br \/>\n<strong>4 ones<\/strong> x 2 = 8<br \/>\n<span style=\"font-size: 16px;\">9 ones &#8211; 8 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n116 \u00f7 2<br \/>\n<strong>58 tenths<\/strong> x 2<br \/>\n116 &#8211; 116 = 0<br \/>\n<span style=\"font-size: 16px;\">There are 0 tenths left over.<br \/>\n<\/span>So, 9.16 \u00f7 2 = 4.58<\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 5 ]{ 23.5 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n23 \u00f7 5<br \/>\n<strong>4 ones<\/strong> x 5 = 20<br \/>\n<span style=\"font-size: 16px;\">23 ones &#8211; 20 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n35 \u00f7 5<br \/>\n<strong>7 tenths<\/strong> x 5<br \/>\n35 &#8211; 35 = 0<br \/>\n<span style=\"font-size: 16px;\">There are 0 tenths left over.<br \/>\n<\/span>So, 23.5 \u00f7 5 = 4.7<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 3 ]{ 6.27 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n6 \u00f7 3<br \/>\n<strong>2 ones<\/strong> x 3 = 6<br \/>\n<span style=\"font-size: 16px;\">6 ones &#8211; 6 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 0 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n27 \u00f7 3<br \/>\n<strong>9 tenths<\/strong> x 3<br \/>\n27 &#8211; 27 = 0<br \/>\n<span style=\"font-size: 16px;\">There are 0 tenths left over.<br \/>\n<\/span>So, 6.27 \u00f7 3 = 2.09<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 4.<br \/>\n\\(\\sqrt [ 4 ]{ 16.8 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n16 \u00f7 4<br \/>\n<strong>4 ones<\/strong> x 4 = 16<br \/>\n<span style=\"font-size: 16px;\">16 ones &#8211; 16 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 0 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n8 \u00f7 4<br \/>\n<strong>2 tenths<\/strong> x 4<br \/>\n8 &#8211; 8 = 0<br \/>\n<span style=\"font-size: 16px;\">There are 0 tenths left over.<br \/>\n<\/span>So, 16.8 \u00f7 4 = 4.2<\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 9 ]{ 1.53 } \\)<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n15 \u00f7 9<br \/>\n<strong>1 tenths<\/strong> x 9<br \/>\n15 &#8211; 9 = 6<br \/>\nThere are 6 tenths left over.<br \/>\nDivide the hundredths<br \/>\n63 \u00f7 9 = <strong>7\u00a0hundredths<br \/>\n<\/strong>So, 1.53 \u00f7 9 = 0.17<\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt [ 5 ]{ 82.5 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n82 \u00f7 5<br \/>\n<strong>16 ones<\/strong> x 5 = 80<br \/>\n<span style=\"font-size: 16px;\">82 ones &#8211; 80 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 2 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n25 \u00f7 5<br \/>\n<strong>5 tenths<\/strong> x 5<br \/>\n25 &#8211; 25 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 82.5 \u00f7 5 = 16.5<\/p>\n<p>Question 7.<br \/>\n77.4 \u00f7 3 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n77 \u00f7 3<br \/>\n<strong>25 ones<\/strong> x 3 = 75<br \/>\n<span style=\"font-size: 16px;\">77 ones &#8211; 75 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 2 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n24 \u00f7 3<br \/>\n<strong>8 tenths<\/strong> x 3<br \/>\n24 &#8211; 24 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 77.4 \u00f7 3 = 25.8<\/p>\n<p>Question 8.<br \/>\n113.6 \u00f7 8 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n113 \u00f7 8<br \/>\n<strong>14 ones<\/strong> x 8 = 112<br \/>\n<span style=\"font-size: 16px;\">113 ones &#8211; 112 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n16 \u00f7 8<br \/>\n<strong>2 tenths<\/strong> x 8<br \/>\n16 &#8211; 16 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 113.6 \u00f7 8 = 14.2<\/p>\n<p>Question 9.<br \/>\n129.43 \u00f7 7 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n129 \u00f7 7<br \/>\n<strong>18 ones<\/strong> x 7 = 126<br \/>\n<span style=\"font-size: 16px;\">129 ones &#8211; 126 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n34 \u00f7 7<br \/>\n<strong>4 tenths<\/strong> x 7<br \/>\n34 &#8211; 28 = 6<br \/>\nThere are 6 tenths left over.<br \/>\nDivide the hundredths<br \/>\n63 \u00f7 7 = <strong>9 hundredths<br \/>\n<\/strong>So, 129.43 \u00f7 7 = 18.49<\/p>\n<p><strong>Find the value of y.<\/strong><br \/>\nQuestion 10.<br \/>\ny \u00f7 2 = 4.8<br \/>\nAnswer:<br \/>\ny = 4.8 x 2<br \/>\ny = 9.6<\/p>\n<p>Question 11.<br \/>\n6.05 \u00f7 5 = y<br \/>\nAnswer:<br \/>\n6.05 \u00f7 5<br \/>\nDivide the ones<br \/>\n<strong>1 ones<\/strong> x 5 = 5<br \/>\n<span style=\"font-size: 16px;\">6 ones &#8211; 5 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n105 \u00f7 5<br \/>\n<strong>21 tenths<\/strong> x 5<br \/>\n105 &#8211; 105 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 6.05 \u00f7 5 = 1.21<br \/>\n<strong>y = 1.21<\/strong><\/p>\n<p>Question 12.<br \/>\ny \u00f7 8 = 4.29<br \/>\nAnswer:<br \/>\ny = 4.29 x 8<br \/>\n<strong>y = 34.32<\/strong><\/p>\n<p>Question 13.<br \/>\n<strong>Reasoning<\/strong><br \/>\nNewton finds 75.15 \u00f7 9. In what place is the first digit of the quotient? Explain.<br \/>\nAnswer:<br \/>\n75.15 \u00f7 9<br \/>\nDivide the ones<br \/>\n75 \u00f7 9<br \/>\n<strong>8 ones<\/strong> x 9 = 72<br \/>\n<span style=\"font-size: 16px;\">75 ones &#8211; 72 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n31 \u00f7 9<br \/>\n<strong>3 tenths<\/strong> x 9<br \/>\n31 &#8211; 27= 4<br \/>\nThere are 4 tenths left over.<br \/>\nDivide the hundredths<br \/>\n45 \u00f7 9 = <strong>5 hundredths<br \/>\n<\/strong>75.15 \u00f7 9 = 8.35, here quotient is in <strong>ones place<\/strong>.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digits.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16116\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 3\" width=\"99\" height=\"78\" \/><br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n47 \u00f7 6<br \/>\n<strong>7 ones<\/strong> x 6 = 42<br \/>\n<span style=\"font-size: 16px;\">47 ones &#8211; 42 ones = 3 ones<br \/>\n<\/span>So, first digit of the quotient is 7.<br \/>\nWe know that divisor x quotient = dividend<br \/>\n6 x 7.89 = 47.34<br \/>\nSo, missing digits are 7 and 4.<\/p>\n<p><strong style=\"font-size: 16px;\">Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA group of 5 gold miners finds the amounts of gold shown. They divide the gold equally. How many ounces does each miner get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16117\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 4\" width=\"183\" height=\"99\" \/><br \/>\nTo find how many ounces each miner gets, divide the total amount of gold by 5.<br \/>\nAdd the amounts of gold.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16118\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 5\" width=\"616\" height=\"379\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-5.png 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-5-300x185.png 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><br \/>\nEach miner gets _______ ounces of gold.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nA pharmacist combines the medicine from both vials and divides it equally into 7 doses. How much medicine is in each dose?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16119\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 6\" width=\"161\" height=\"130\" \/><br \/>\nAnswer:<br \/>\nTo find how much medicine is in each dose, divide the total amount of medicine by 7.<br \/>\nAdd the amounts of medicine.<br \/>\n4.5 + 20 = 24.5<br \/>\n24.5 \u00f7 7<br \/>\nDivide the ones<br \/>\n24 \u00f7 7<br \/>\n<strong>3 ones<\/strong> x 7 = 21<br \/>\n<span style=\"font-size: 16px;\">24 ones &#8211; 21 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n35 \u00f7 7<br \/>\n<strong>5 tenths<\/strong> x 7<br \/>\n35 &#8211; 35 = 0<br \/>\nThere are 0 tenths left over.<br \/>\n24.5 \u00f7 7 = 3.5<br \/>\nSo, <strong>3.5 milliliters<\/strong> medicine is in each dose.<\/p>\n<p>Question 16.<br \/>\nIdentical rectangular stepping stones form a path in a garden. What are the dimensions of each stone?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16120\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 7\" width=\"280\" height=\"78\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA customer saves $9.24 by buying the set rather than buying them individually. What is one flying disc priced individually?<br \/>\nAnswer:<\/p>\n<h3><a id=\"Divide_Decimals_by_One_Digit_Numbers_Homework_&amp;_Practice_7.4\"><\/a>Divide Decimals by One-Digit Numbers Homework &amp; Practice 7.4<\/h3>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 3 ]{ 9.6 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n9 \u00f7 3<br \/>\n<strong>3 ones<\/strong> x 3 = 9<br \/>\n<span style=\"font-size: 16px;\">9 ones &#8211; 9 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 0 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n6 \u00f7 3<br \/>\n<strong>2 tenths<\/strong> x 3<br \/>\n6 &#8211; 6 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 9.6 \u00f7 3 = 3.2.<\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 6 ]{ 7.56 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n7 \u00f7 6<br \/>\n<strong>1 ones<\/strong> x 6 = 6<br \/>\n<span style=\"font-size: 16px;\">7 ones &#8211; 6 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n15 \u00f7 6<br \/>\n<strong>2 tenths<\/strong> x 6<br \/>\n15 &#8211; 12 = 3<br \/>\nThere are 3 tenths left over.<br \/>\nDivide the hundredths<br \/>\n36 \u00f7 6 = <strong>6 hundredths.<br \/>\n<\/strong>So, 7.56 \u00f7 6 = 1.26.<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 8 ]{ 42.4 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n42 \u00f7 8<br \/>\n<strong>5 ones<\/strong> x 8 = 40<br \/>\n<span style=\"font-size: 16px;\">42 ones &#8211; 40 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 2 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n24 \u00f7 8<br \/>\n<strong>3 tenths<\/strong> x 8<br \/>\n24 &#8211; 24 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 42.4 \u00f7 8 = 5.3.<\/p>\n<p>Question 4.<br \/>\n63.6 \u00f7 4 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n63 \u00f7 4<br \/>\n<strong>15 ones<\/strong> x 4 = 60<br \/>\n<span style=\"font-size: 16px;\">63 ones &#8211; 60 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n36 \u00f7 4<br \/>\n<strong>9 tenths<\/strong> x 4<br \/>\n36 &#8211; 36 = 0<br \/>\nThere are 0 tenths left over.<br \/>\n63.6 \u00f7 4 = 15.9<\/p>\n<p>Question 5.<br \/>\n15.68 \u00f7 7 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n15 \u00f7 7<br \/>\n<strong>2 ones<\/strong> x 7 = 14<br \/>\n<span style=\"font-size: 16px;\">15 ones &#8211; 14 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n16 \u00f7 7<br \/>\n<strong>2 tenths<\/strong> x 7<br \/>\n16 &#8211; 14 = 2<br \/>\nThere are 2 tenths left over.<br \/>\nDivide the hundredths<br \/>\n28 \u00f7 7 = <strong>4 hundredths<br \/>\n<\/strong>15.68 \u00f7 7 = 2.24<\/p>\n<p>Question 6.<br \/>\n143.82 \u00f7 9 = _______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n143 \u00f7 9<br \/>\n<strong>15 ones<\/strong> x 9 = 135<br \/>\n<span style=\"font-size: 16px;\">143 ones &#8211; 135 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 8 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n88 \u00f7 9<br \/>\n<strong>9 tenths<\/strong> x 9<br \/>\n88 &#8211; 81 = 7<br \/>\nThere are 7 tenths left over.<br \/>\nDivide the hundredths<br \/>\n72 \u00f7 9 = <strong>8 hundredths<br \/>\n<\/strong>143.82 \u00f7 9 = 15.98<\/p>\n<p><strong>Find the value of y.<\/strong><br \/>\nQuestion 7.<br \/>\ny \u00f7 6 = 7.8<br \/>\nAnswer:<br \/>\ny = 7.8 x 6<br \/>\n<strong>y= 46.8<\/strong><\/p>\n<p>Question 8.<br \/>\n14.9 \u00f7 5 = y<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n14 \u00f7 5<br \/>\n<strong>2 ones<\/strong> x 5 = 10<br \/>\n<span style=\"font-size: 16px;\">14 ones &#8211; 10 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 4 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n49 \u00f7 5<br \/>\n<strong>9 tenths<\/strong> x 5<br \/>\n49 &#8211; 45 = 4<br \/>\nThere are 4 tenths left over.<br \/>\nDivide the hundredths<br \/>\n40 \u00f7 5 = <strong>8 hundredths<br \/>\n<\/strong>14.9 \u00f7 5 = 2.98<br \/>\n<strong>y = 2.98<\/strong><\/p>\n<p>Question 9.<br \/>\ny \u00f7 2 = 4.7<br \/>\nAnswer:<br \/>\ny = 4.7 x 2<br \/>\n<strong>y = 9.4<\/strong><\/p>\n<p>Question 10.<br \/>\n<strong>Number Sense<\/strong><br \/>\nEvaluate the expression.<br \/>\n(213.3 &#8211; 95.7) \u00f7 8<br \/>\nAnswer:<br \/>\n(213.3 &#8211; 95.7) \u00f7 8 = 117.6 \u00f7 8<br \/>\nDivide the ones<br \/>\n117 \u00f7 8<br \/>\n<strong>14 ones<\/strong> x 8 = 112<br \/>\n<span style=\"font-size: 16px;\">117 ones &#8211; 112 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 5 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n56 \u00f7 8<br \/>\n<strong>7 tenths<\/strong> x 8<br \/>\n56 &#8211; 56 = 0<br \/>\nThere are 0 tenths left over.<br \/>\n(213.3 &#8211; 95.7) \u00f7 8 = 117.6 \u00f7 8 = <strong>14.7<\/strong><\/p>\n<p>Question 11.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite and solve a real-life problem that involves dividing a decimal by a whole number.<br \/>\nAnswer:<br \/>\nIn 5 minutes John eats 7.5 chocolates.\u00a0 how many chocolates can he eat in one minute?<br \/>\n7.5 \u00f7 5<br \/>\nDivide the ones<br \/>\n7 \u00f7 5<br \/>\n<strong>1 ones<\/strong> x 5 = 5<br \/>\n<span style=\"font-size: 16px;\">7 ones &#8211; 5 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 2 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n25 \u00f7 5 = <strong>5 tenths<br \/>\n<\/strong>7.5 \u00f7 5 = 1.5<br \/>\nIn 1 minute, he can eat 1.5 chocolates.<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds 197.2 \u00f7 4. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16121\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 8\" width=\"100\" height=\"170\" \/><br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n197 \u00f7 4<br \/>\n<strong>49 ones<\/strong> x 4 = 196<br \/>\n<span style=\"font-size: 16px;\">197 ones &#8211; 196 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n12 \u00f7 4<br \/>\n<strong>3 tenths<\/strong> x 4 = 12<br \/>\n12 &#8211; 12 = 0<br \/>\nThere are 0 tenths left over.<br \/>\n197.2 \u00f7 4 = 49.3<br \/>\nSo, my friend answer is not correct.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou buy 2 packages of ground beef. One package contains 4.5 pounds and the other contains 2.25 pounds. You put equal amounts of meat into 9 freezer bags. How many pounds of meat are in each bag?<br \/>\nAnswer:<br \/>\nTo find many pounds of meat are in each bag, divide the total meat by 9.<br \/>\nAdd the two packages of meat.<br \/>\n4.5 + 2.25 = 6.75<br \/>\n6.75 \u00f7 9<br \/>\nDivide the tenths<br \/>\n67 \u00f7 9<br \/>\n<strong>7 tenths<\/strong> x 9 = 63<br \/>\n<span style=\"font-size: 16px;\">67 tenths &#8211; 63 tenths<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 4 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n45 \u00f7 9 = <strong>5 hundredths<br \/>\n<\/strong>6.75 \u00f7 9 = 0.75<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA homeowner hangs wallpaper on the walls of her bathroom. What is the width of the bathroom?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16122\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.4-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.4 9\" width=\"207\" height=\"108\" \/><br \/>\nAnswer:<br \/>\nWe know that perimeter of a rectangle = 2(l + w)<br \/>\n8.52 = 2(2.74 + w)<br \/>\n2.74 + w = 8.52 \u00f7 2<br \/>\n8.52 \u00f7 2<br \/>\nDivide the ones<br \/>\n8 \u00f7 2 = <strong>4 ones<br \/>\n<\/strong>Divide the tenths<br \/>\n52 \u00f7 2 = <strong>26 tenths<br \/>\n<\/strong>8.52 \u00f7 2 = 4.26<br \/>\n2.74 + w = 4.26<br \/>\nWidth w = 4.26 &#8211; 2.74 = 1.52<br \/>\nSo, width of the bathroom = <strong>1.52 m<\/strong><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 15.<br \/>\n607 \u00f7 15 = ______<br \/>\nAnswer:<br \/>\n15 x 40 = 600 with remainder 7.<\/p>\n<p>Question 16.<br \/>\n4,591 \u00f7 33 = ______<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n6,699 \u00f7 87 = ______<br \/>\nAnswer:<br \/>\n87 x <strong>50<\/strong> = 4350<br \/>\n6,699 &#8211; 4350 = 2349<br \/>\n87 x <strong>20<\/strong> = 1740<br \/>\n2349 &#8211; 1740 = 609<br \/>\n87 x <strong>5<\/strong> = 435<br \/>\n609 &#8211; 435 = 174<br \/>\n87 x <strong>2<\/strong> = 174<br \/>\n6,699 \u00f7 87 = 50 + 20 + 5 + 2 = <strong>77.<\/strong><\/p>\n<h3><a id=\"Lesson_7.5_Divide_Decimals_by_Two_Digit_Numbers\"><\/a>Lesson 7.5 Divide Decimals by Two-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Write a division problem you can use to find the width of each rectangle. Then find the width of each rectangle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16123\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 1\" width=\"531\" height=\"176\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-1.png 531w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-1-300x99.png 300w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Precision<\/strong><br \/>\nExplain how you can use estimation to check your answers.<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Divide Decimals by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 79.8 \u00f7 14. Estimate _________<br \/>\nRegroup 7 tens as 70 ones and combine with 9 ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16124\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 2\" width=\"581\" height=\"322\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-2.png 581w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-2-300x166.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 20.54 \u00f7 26.<br \/>\nStep 1: Estimate the quotient.<br \/>\n2,000 hundredths \u00f7 25 = _______ hundredths<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16125\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 3\" width=\"86\" height=\"157\" \/><br \/>\nStep 2: Divide as you do with whole numbers.<br \/>\nStep 3: Use the estimate to place the decimal point.<br \/>\nSo, 20.54 \u00f7 26 = _______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 12 ]{ 51.6 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n51 \u00f7 12<br \/>\n<strong>4 ones<\/strong> x 12 = 48<br \/>\n<span style=\"font-size: 16px;\">51 ones &#8211; 48 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n36 \u00f7 12<br \/>\n<strong>3 tenths<\/strong> x 12 = 36<br \/>\n36 &#8211; 36 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 51.6 \u00f7 12 = 4.3<\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 17 ]{ 140.25 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n140 \u00f7 17<br \/>\n<strong>8 ones<\/strong> x 17 = 136<br \/>\n<span style=\"font-size: 16px;\">140 ones &#8211; 136 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 4 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n42 \u00f7 17<br \/>\n<strong>2 tenths<\/strong> x 17 = 34<br \/>\n42 &#8211; 34 = 8<br \/>\nThere are 8 tenths left over.<br \/>\nDivide the hundredths<br \/>\n85 \u00f7 17 = <strong>5 hundredths.<br \/>\n<\/strong>So, 140.25 \u00f7 17 = 8.25<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 61 ]{ 32.33 } \\)<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n323 \u00f7 61<br \/>\n<strong>5 ones<\/strong> x 61 = 305<br \/>\n<span style=\"font-size: 16px;\">323 tenths &#8211; 305 tenths<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 18 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n183 \u00f7 61 = <strong>3 hundredths<br \/>\n<\/strong>So, 32.33 \u00f7 61 = 0.53<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n251.75 \u00f7 19 = 1 3 . 2 5<br \/>\nAnswer:<br \/>\nWhen dividing a decimal by a whole number, f<span style=\"font-size: 16px;\">irst we will\u00a0<\/span>divide<span style=\"font-size: 16px;\">\u00a0the\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0by the\u00a0<\/span>whole number<span style=\"font-size: 16px;\">\u00a0ignoring\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0point. Now put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the quotient same as the<\/span><span style=\"font-size: 16px;\">\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> places in the dividend.<\/span><\/p>\n<p>Question 5.<br \/>\n88.04 \u00f7 62 = 1 . 4 2<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n3.22 \u00f7 23 = 0 .1 4<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 7.<br \/>\n\\(\\sqrt [ 54 ]{ 97.2 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n97 \u00f7 54<br \/>\n<strong>1 ones<\/strong> x 54 = 54<br \/>\n<span style=\"font-size: 16px;\">97 ones &#8211; 54 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 43 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n432 \u00f7 54 = <strong>8 tenths<br \/>\n<\/strong>So, 97.2 \u00f7 54 = 1.8<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt [ 91 ]{ 200.2 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n200 \u00f7 91<br \/>\n<strong>2 ones<\/strong> x 91 = 182<br \/>\n<span style=\"font-size: 16px;\">200 ones &#8211; 182 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 18 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n182 \u00f7 91 = <strong>2\u00a0tenths<br \/>\n<\/strong>So, 200.2 \u00f7 91 = 2.2<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt [ 2 ]{ 56.2 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n56 \u00f7 2<br \/>\n<strong>28 ones<\/strong> x 2 = 56<br \/>\n<span style=\"font-size: 16px;\">56 ones &#8211; 56 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 0 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n2 \u00f7 2 = <strong>1 tenths<br \/>\n<\/strong>So, 56.2 \u00f7 2 = 28.1<\/p>\n<p>Question 10.<br \/>\n6.08 \u00f7 16 = _____<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n60 \u00f7 16<br \/>\n<strong>3 tenths<\/strong> x 16 = 48<br \/>\n60 tenths &#8211; 48 tenths<br \/>\nThere are 12 tenths left over.<br \/>\nDivide the hundredths<br \/>\n128 \u00f7 16<br \/>\n<strong>8 hundredths<\/strong> x 16<br \/>\n128 &#8211; 128 = 0<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 6.08 \u00f7 16 = 0.38<\/p>\n<p>Question 11.<br \/>\n7.45 \u00f7 5 = _______<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n74 \u00f7 5<br \/>\n<strong>14 tenths<\/strong> x 5 = 70<br \/>\n74 tenths &#8211; 70 tenths<br \/>\nThere are 4 tenths left over.<br \/>\nDivide the hundredths<br \/>\n45 \u00f7 5<br \/>\n<strong>9 hundredths<\/strong> x 5 = 45<br \/>\n45 &#8211; 45 = 0<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 7.45 \u00f7 5 = 1.49<\/p>\n<p>Question 12.<br \/>\n147.63 \u00f7 37 = _______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n147 \u00f7 37<br \/>\n<strong>3 ones <\/strong>x 37 = 111<br \/>\n147 ones &#8211; 111\u00a0ones<br \/>\nThere are 36 ones left over.<br \/>\nDivide the tenths<br \/>\n366 \u00f7 37<br \/>\n<strong>9 tenths<\/strong> x 37 = 333<br \/>\n366 &#8211; 333 = 33<br \/>\nDivide the hundredths<br \/>\n333 \u00f7 37 = <strong>9 hundredths<br \/>\n<\/strong>So, 147.63 \u00f7 37 = 3.99<\/p>\n<p><strong style=\"font-size: 16px;\">Find the value of y.<\/strong><\/p>\n<p>Question 13.<br \/>\ny \u00f7 44 = 1.82<br \/>\nAnswer:<br \/>\ny = 44 x 1.82<br \/>\ny = 80.08<\/p>\n<p>Question 14.<br \/>\n106.6 \u00f7 82 = y<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n106 \u00f7 82<br \/>\n<strong>1 ones<\/strong> x 82 = 82<br \/>\n106 ones &#8211; 82 ones<br \/>\nThere are 24 ones left over.<br \/>\nDivide the tenths<br \/>\n246 \u00f7 82<br \/>\n<strong>3 tenths<\/strong> x 82 = 246<br \/>\n246 &#8211; 246 = 0<br \/>\n106.6 \u00f7 82 = 1.3, <strong>y = 1.3<\/strong><\/p>\n<p>Question 15.<br \/>\ny \u00f7 13 = 2.6<br \/>\nAnswer:<br \/>\ny = 13 x 2.6<br \/>\ny = 33.8<\/p>\n<p>Question 16.<br \/>\n<strong>Logic<\/strong><br \/>\nNewton and Descartes find 44.82 \u00f7 18. Only one of them is correct. Without solving, who is correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16126\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 4\" width=\"325\" height=\"158\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-4.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-4-300x146.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><br \/>\nAnswer:<br \/>\nDescartes answer is correct, 44.82 \u00f7 18 = 2.49<br \/>\nWhen dividing a decimal by a whole number, f<span style=\"font-size: 16px;\">irst we will\u00a0<\/span>divide<span style=\"font-size: 16px;\">\u00a0the\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0by the\u00a0<\/span>whole number<span style=\"font-size: 16px;\">\u00a0ignoring\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0point. Now put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the quotient same as the<\/span><span style=\"font-size: 16px;\">\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> places in the dividend.<\/span><\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind a decimal that you can divide by a two-digit whole number to get the quotient shown. Fill in the boxes with your dividend and divisor.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16127\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 5\" width=\"100\" height=\"64\" \/><\/p>\n<p>Dividend is <strong>20<\/strong> and divisor is <strong>12<\/strong>.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou practice paddle boarding for 3 weeks. You paddle the same amount each day for 5 days each week. You paddle 22.5 miles altogether. How many miles do you paddle each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16128\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 6\" width=\"131\" height=\"162\" \/><br \/>\nTo find the total number of days you paddle in 3 weeks, multiply the days you paddle each week by 3.<br \/>\n5 \u00d7 3 = 15 So, you paddle board _______ days in 3 weeks.<br \/>\nTo find the number of miles you paddle each day, divide the total number of miles by the number of days you paddle in 3 weeks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16129\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 7\" width=\"238\" height=\"158\" \/><br \/>\nYou paddle _______ miles each day.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 18.<br \/>\nDescartes borrows $6,314.76 for an all-terrain vehicle. He pays back the money in equal amounts each month for 3 years. What is his monthly payment?<br \/>\nAnswer:<br \/>\nTime t = 3 years = 3 x 12 = 36 months<br \/>\nDescartes borrowed amount = $6,314.76<br \/>\n6,314.76 \u00f7 36<br \/>\n63 \u00f7 36 = 1 and 27 is left over<br \/>\n271 \u00f7 36 = 7 and 19 is left over<br \/>\n194 \u00f7 36 = 5 and 14 is left over<br \/>\n147 \u00f7 36 = 4 and 3 is left over<br \/>\n36 \u00f7 36 = 1 and 0 left over.<br \/>\n6,314.76 \u00f7 36 = 175.41<br \/>\nDescartes monthly payment is <strong>$175.41<\/strong><\/p>\n<p>Question 19.<br \/>\nA blue car travels 297.6 miles using 12 gallons of gasoline and a red car travels 358.8 miles using 13 gallons of gasoline. Which car travels farther using 1 gallon of gasoline? How much farther?<br \/>\nAnswer:<br \/>\n297 ones \u00f7 12 = <strong>24 ones<\/strong> x 12 = 288<br \/>\n297 ones &#8211; 288 ones<br \/>\nThere are 9 ones left over.<br \/>\n96 \u00f7 12 = <strong>8 tenths<\/strong> x 12 = 96<br \/>\n96 &#8211; 96 = 0<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 297.6 \u00f7 12 =<strong> 24.8<br \/>\n<\/strong>358 ones \u00f7 13 = <strong>27 ones<\/strong> x 13 = 351<br \/>\n358 ones &#8211; 351 ones<br \/>\nThere are 7 ones left over.<br \/>\n78 \u00f7 13 = <strong>6\u00a0tenths<\/strong> x 13 = 78<br \/>\n78 &#8211; 78 = 0<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 358.8 \u00f7 13 =<strong> 27.6<br \/>\n<\/strong>Red car &#8211; blue car = 27.6 &#8211; 24.8 = 2.8<br \/>\nRed car travels 2.8 miles farther than blue car using 1 gallon of gasoline.<\/p>\n<p>Question 20.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe rectangular dog park has an area of 2,616.25 square feet. How much fencing does an employee need to enclose the dog park?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16130\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 8\" width=\"200\" height=\"112\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Divide_Decimals_by_Two_Digit_Numbers_Homework_&amp;_Practice_7.5\"><\/a>Divide Decimals by Two-Digit Numbers Homework &amp; Practice 7.5<\/h3>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n127.2 \u00f7 24 = 5 . 3<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n48.64 \u00f7 32 = 1 . 5 2<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n514.18 \u00f7 47 = 1 0 . 9 4<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 4.<br \/>\n\\(\\sqrt [ 72 ]{ 93.6 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n93 \u00f7 72<br \/>\n<strong>1 ones<\/strong> x 72 = 72<br \/>\n93 ones &#8211; 72 ones<br \/>\nThere are 21 ones left over.<br \/>\nDivide the tenths<br \/>\n216 \u00f7 72 = <strong>3 tenths.<br \/>\n<\/strong>So, 93.6 \u00f7 72 = 1.3<\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 7 ]{ 3.92 } \\)<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n39 \u00f7 7<br \/>\n<strong>5 ones<\/strong> x 7 = 35<br \/>\n39 ones &#8211; 35 ones<br \/>\nThere are 4 ones left over.<br \/>\nDivide the hundredths<br \/>\n42 \u00f7 7 = <strong>6\u00a0tenths.<br \/>\n<\/strong>So, 3.92 \u00f7 7 = 0.56<\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt [ 29 ]{ 1.74 } \\)<br \/>\nAnswer:<br \/>\nDivide the hundredths<br \/>\n174 \u00f7 29<br \/>\n<strong>6 ones<\/strong> x 29 = 174<br \/>\n174 hundredths &#8211; 174 hundredths<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 1.74 \u00f7 29 = 0.06<\/p>\n<p>Question 7.<br \/>\n24.3 \u00f7 9 = _______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n24 \u00f7 9<br \/>\n<strong>2 ones<\/strong> x 9 = 18<br \/>\n24 ones &#8211; 18 ones<br \/>\nThere are 6 ones left over.<br \/>\nDivide the tenths<br \/>\n63 \u00f7 9<br \/>\n<strong>7 tenths<\/strong> x 9 = 63<br \/>\n63 &#8211; 63 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 24.3 \u00f7 9 = 2.7<\/p>\n<p>Question 8.<br \/>\n244.9 \u00f7 31 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n244 \u00f7 31<br \/>\n<strong>7 ones<\/strong> x 31 = 217<br \/>\n244 ones &#8211; 217 ones<br \/>\nThere are 27 ones left over.<br \/>\nDivide the tenths<br \/>\n279 \u00f7 31<br \/>\n<strong>9 tenths<\/strong> x 31<br \/>\n279 &#8211; 279 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 244.9 \u00f7 31 = 7.9<\/p>\n<p>Question 9.<br \/>\n55.62 \u00f7 27 = ______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n55 \u00f7 27<br \/>\n<strong>2 ones<\/strong> x 27 = 54<br \/>\n55 ones &#8211; 54 ones<br \/>\nThere is 1 ones left over.<br \/>\nDivide the tenths<br \/>\n162 \u00f7 27<br \/>\n<strong>6 tenths<\/strong> x 27<br \/>\n162 &#8211; 162 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 55.62 \u00f7 27 = 2.06<\/p>\n<p><strong>Find the value of y.<\/strong><br \/>\nQuestion 10.<br \/>\ny \u00f7 16 = 0.23<br \/>\nAnswer:<br \/>\ny = 16 x 0.23<br \/>\ny = 3.68<\/p>\n<p>Question 11.<br \/>\n44.1 \u00f7 21 = y<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n44 \u00f7 21<br \/>\n<strong>2 ones<\/strong> x 21 = 42<br \/>\n44 ones &#8211; 42 ones<\/p>\n<p>There are 2 ones left over.<br \/>\nDivide the tenths<br \/>\n21 \u00f7 21<br \/>\n<strong>1 tenths<\/strong> x 21<br \/>\n21 &#8211; 21 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 44.1 \u00f7 21 = 2.1<\/p>\n<p>Question 12.<br \/>\ny \u00f7 28 = 11.04<br \/>\nAnswer:<br \/>\ny = 28 x 11.04<br \/>\ny = 309.12<\/p>\n<p>Question 13.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds 21.44 \u00f7 16. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16131\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 9\" width=\"78\" height=\"163\" \/><br \/>\nAnswer:<br \/>\nMy friend answer is not correct.<br \/>\nWhen dividing a decimal by a whole number, f<span style=\"font-size: 16px;\">irst we will\u00a0<\/span>divide<span style=\"font-size: 16px;\">\u00a0the\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0by the\u00a0<\/span>whole number<span style=\"font-size: 16px;\">\u00a0ignoring\u00a0<\/span>decimal<span style=\"font-size: 16px;\">\u00a0point. Now put the\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> point in the quotient same as the<\/span><span style=\"font-size: 16px;\">\u00a0<\/span>decimal<span style=\"font-size: 16px;\"> places in the dividend.<br \/>\n<\/span>Divide the ones<br \/>\n21 \u00f7 16<br \/>\n<strong>1 ones<\/strong> x 16 = 16<br \/>\n21 ones &#8211; 16 ones<br \/>\nThere are 5 ones left over.<br \/>\nDivide the tenths<br \/>\n54 \u00f7 16<br \/>\n<strong>3 tenths<\/strong> x 16<br \/>\n54 tenths &#8211; 48 tenths<br \/>\nThere are 6 tenths left over.<br \/>\nDivide the hundredths<br \/>\n64 \u00f7 16<br \/>\n<strong>4 hundredths<\/strong> x 16<br \/>\n64 hundredths- 64 hundredths<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 21.44 \u00f7 16 = 1.34<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA banker divides the amount shown among 12 people. How can she regroup the money? How much money does each person get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16132\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 10\" width=\"309\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-10.png 309w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-10-300x139.png 300w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have hip-hop dance practice for 5 weeks. You attend practice 5 days each week. Each practice is the same length of time. You practice for 37.5 hours altogether. How many hours do you practice each day?<br \/>\nAnswer:<br \/>\nTo find the total number of days you practice in 5 weeks, multiply the days you practice each week by 5.<br \/>\n5 \u00d7 5 = 25 So, you practice 25 days in 5 weeks.<br \/>\nTo find the number of hours you practice each day, divide the total number of hours by the number of days you practice in 5 weeks.<br \/>\n37.5 \u00f7 25<br \/>\nDivide the ones<br \/>\n37 \u00f7 25<br \/>\n<strong>1 ones<\/strong> x 25 = 25<br \/>\n37 ones &#8211; 25 ones<br \/>\nThere are 12 ones left over.<br \/>\nDivide the tenths<br \/>\n125 \u00f7 25<br \/>\n<strong>5 tenths<\/strong> x 25<br \/>\n125 tenths &#8211; 125 tenths<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 37.5 \u00f7 25 = 1.5<br \/>\nSo, I practice dance <strong>1.5 hours<\/strong> each day.<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour rectangular classroom rug has an area of 110.5 square feet. What is the perimeter of the rug?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16133\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.5 11\" width=\"190\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 17.<br \/>\n0.52 \u00d7 0.4 = _______<br \/>\nAnswer: 0.208<\/p>\n<p>Question 18.<br \/>\n0.7 \u00d7 21.3 = _______<br \/>\nAnswer: 14.91<\/p>\n<p>Question 19.<br \/>\n1.52 \u00d7 8.6 = ______<br \/>\nAnswer: 13.072<\/p>\n<h3><a id=\"Lesson_7.6_Use_Models_to_Divide_Decimals\"><\/a>Lesson 7.6 Use Models to Divide Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the model to find each quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16134\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 1\" width=\"491\" height=\"431\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-1.png 491w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-1-300x263.png 300w\" sizes=\"(max-width: 491px) 100vw, 491px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Structure<\/strong><br \/>\nWhen using a model to divide decimals, how do you determine the number of rows and columns to shade? How do you divide the shaded region?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Use Models to Divide Decimals<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse a model to find 1.2 \u00f7 0.3.<br \/>\nShade 12 columns to represent 1.2.<br \/>\nDivide the model to show groups of 0.3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16135\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 2\" width=\"278\" height=\"157\" \/><br \/>\nThere are ______ groups of ______ tenths.<br \/>\nSo, 1.2 \u00f7 0.3 = ________.<\/p>\n<p><strong>Example<\/strong><br \/>\nUse a model to find 0.7 \u00f7 0.14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16136\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 3\" width=\"314\" height=\"247\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-3.png 314w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-3-300x236.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><br \/>\nShade 7 columns to represent 0.7.<br \/>\nDivide the model to show groups of 0.14.<br \/>\nThere are ______ groups of _______ hundredths.<br \/>\nSo, 0.7 \u00f7 0.14 = ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n1.5 \u00f7 0.5 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16137\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 4\" width=\"279\" height=\"143\" \/><br \/>\nAnswer:<br \/>\nShade 15 columns to represent 1.5.<br \/>\nDivide the model to show groups of 0.5.<br \/>\nThere are 3 groups of 5 tenths.<br \/>\nSo, 1.5 \u00f7 0.5 = 3<\/p>\n<p>Question 2.<br \/>\n1.72 \u00f7 0.86 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16138\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 5\" width=\"275\" height=\"147\" \/><br \/>\nAnswer:<br \/>\nShade 17.2 columns to represent 1.72.<br \/>\nDivide the model to show groups of 0.86.<br \/>\nThere are 2 groups of 86 hundredths.<br \/>\nSo, 1.72 \u00f7 0.86 = 2<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n0.32 \u00f7 0.04 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16139\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 6\" width=\"146\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nShade 3.2 columns to represent 0.32.<br \/>\nDivide the model to show groups of 0.04.<br \/>\nThere are 8 groups of 4 hundredths.<br \/>\nSo, 0.32 \u00f7 0.04 = 8<\/p>\n<p>Question 4.<br \/>\n0.9 \u00f7 0.15 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16140\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 7\" width=\"151\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nShade 9 columns to represent 0.9.<br \/>\nDivide the model to show groups of 0.15.<br \/>\nThere are 6 groups of 15 hundredths.<br \/>\nSo, 0.9 \u00f7 0.15 = 6<\/p>\n<p>Question 5.<br \/>\n1.4 \u00f7 0.07 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16141\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 8\" width=\"279\" height=\"147\" \/><br \/>\nAnswer:<br \/>\nShade 14 columns to represent 1.4.<br \/>\nDivide the model to show groups of 0.07.<br \/>\nThere are 20 groups of 7 hundredths.<br \/>\nSo, 1.4 \u00f7 0.07 = 20<\/p>\n<p>Question 6.<br \/>\n1.08 \u00f7 0.09 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16143\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 9\" width=\"284\" height=\"141\" \/><br \/>\nAnswer:<br \/>\nShade 10.8 columns to represent 1.08.<br \/>\nDivide the model to show groups of 0.09.<br \/>\nThere are 12 groups of 9 hundredths.<br \/>\nSo, 1.08 \u00f7 0.09 = 12<\/p>\n<p>Question 7.<br \/>\nYou have$1.50 in dimes. You exchange all of your dimes for quarters. How many quarters do you get?<br \/>\nAnswer:<br \/>\nQuarter = 0.25<br \/>\n1.50 \u00f7 0.25<br \/>\nShade 15 columns to represent 1.50.<br \/>\nDivide the model to show groups of 0.25.<br \/>\nThere are 6 groups of 25 hundredths.<br \/>\nSo, 1.50 \u00f7 0.25 = 6 quarters.<\/p>\n<p>Question 8.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend uses the model below and says 1.6 \u00f7 0.08 = 2. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16144\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 10\" width=\"280\" height=\"152\" \/><br \/>\nAnswer:<br \/>\n1.6 \u00f7 0.08<br \/>\nShade 16 columns to represent 1.6.<br \/>\nDivide the model to show groups of 0.08.<br \/>\nThere are 20 groups of 8 hundredths.<br \/>\nSo, 1.6 \u00f7 0.08 = 20<br \/>\nSo, my friend answer is wrong.<\/p>\n<p>Question 9.<br \/>\n<strong>Structure<\/strong><br \/>\nUse the model to find the missing number.<br \/>\n0.72 \u00f7 ____ = 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16145\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 11\" width=\"145\" height=\"150\" \/><br \/>\nAnswer:<br \/>\nShade 7.2 columns to represent 0.72.<br \/>\nDivide the model to show groups of 8.<br \/>\nThere are 0.09 groups of 800 hundredths.<br \/>\nSo, 0.72 \u00f7 0.09 = 8<br \/>\nMissing number is 0.09.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nIs aluminum more than 5 times as dense as neon?<br \/>\nDivide the density of aluminum by the density of neon to find how many times as dense it is.<br \/>\nUse a model. Shade 27 columns to represent 2.7.<br \/>\nDivide the model to show groups of 0.9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16146\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 12\" width=\"469\" height=\"412\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-12.png 469w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-12-300x264.png 300w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><br \/>\nThere are ______ groups of ______ tenths.<br \/>\nSo, 2.7 \u00f7 0.9 = _______.<br \/>\nCompare the quotient to 5.<br \/>\nSo, aluminum ________ more than 5 times as dense as neon.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nUse the table above. Is neon more than 9 times as dense as hydrogen?<br \/>\nAnswer:<br \/>\nDivide the density of neon by the density of hydrogen to find how many times as dense it is.<br \/>\nUse a model. Shade 9 columns to represent 0.9.<br \/>\nDivide the model to show groups of 0.09.<br \/>\nThere are 10 groups of 9 hundredths.<br \/>\nSo, 0.9 \u00f7 0.09 = 10<br \/>\nCompare the quotient to 9.<br \/>\nSo, neon is more than 9 times as dense as hydrogen.<\/p>\n<p>Question 11.<br \/>\nYou fill a bag with peanuts, give the cashier $5, and receive $3.16 in change. How many pounds of peanuts do you buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16147\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 13\" width=\"138\" height=\"174\" \/><br \/>\nAnswer:<br \/>\nAmount to buy peanuts = 5 &#8211; 3.16 = 1.84<br \/>\npeanuts per pound = $0.23<br \/>\n1.84 \u00f7 0.23<br \/>\nShade 18.4 columns to represent 1.84.<br \/>\nDivide the model to show groups of 0.23.<br \/>\nThere are 8 groups of 23 hundredths.<br \/>\nSo, 1.84 \u00f7 0.23 = 8<br \/>\nI can buy 8 pounds of peanuts.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have 2.88 meters of copper wire and 5.85 meters of aluminum wire. You need 0.24 meter of copper wire to make one bracelet and 0.65 meter of aluminum wire to make one necklace. Can you make more bracelets or more necklaces? Explain.<br \/>\nAnswer:<br \/>\nCopper wire = 2.88 \u00f7 0.24<br \/>\nShade 28.8 columns to represent 2.88.<br \/>\nDivide the model to show groups of 0.24.<br \/>\nThere are 12 groups of 24 hundredths.<br \/>\nSo, 2.88 \u00f7 0.24 = 12<br \/>\nAluminum wire = 5.85 \u00f7 0.65<br \/>\nShade 58.5 columns to represent 5.85.<br \/>\nDivide the model to show groups of 0.65.<br \/>\nThere are 9 groups of 65 hundredths.<br \/>\nSo, 5.85 \u00f7 0.65 = 9<br \/>\nSo, we can make more bracelets.<\/p>\n<h3><a id=\"Use_Models_to_Divide_Decimals_Homework_&amp;_Practice_7.6\"><\/a>Use Models to Divide Decimals Homework &amp; Practice 7.6<\/h3>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n0.08 \u00f7 0.02 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16148\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 14\" width=\"152\" height=\"149\" \/><br \/>\nAnswer:<br \/>\nShade 8 columns to represent 0.08.<br \/>\nDivide the model to show groups of 0.02.<br \/>\nThere are 4 groups of 2 hundredths.<br \/>\nSo, 0.08 \u00f7 0.02 = 4<\/p>\n<p>Question 2.<br \/>\n0.4 \u00f7 0.05 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16149\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 15\" width=\"145\" height=\"151\" \/><br \/>\nAnswer:<br \/>\nShade 5 columns to represent 0.4.<br \/>\nDivide the model to show groups of 0.05.<br \/>\nThere are 8 groups of 5 hundredths.<br \/>\nSo, 0.4 \u00f7 0.05 = 8<\/p>\n<p>Question 3.<br \/>\n1.7 \u00f7 0.85 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16150\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 16\" width=\"283\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nShade 17 columns to represent 1.7.<br \/>\nDivide the model to show groups of 0.85.<br \/>\nThere are 2 groups of 85 hundredths.<br \/>\nSo, 1.7 \u00f7 0.85 = 2<\/p>\n<p>Question 4.<br \/>\n1.5 \u00f7 0.3 = _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16151\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 17\" width=\"280\" height=\"148\" \/><br \/>\nAnswer:<br \/>\nShade 15 columns to represent 1.5.<br \/>\nDivide the model to show groups of 0.3.<br \/>\nThere are 5 groups of 3 tenths.<br \/>\nSo, 1.5 \u00f7 0.3 = 5<\/p>\n<p>Question 5.<br \/>\nYou have a piece of scrapbook paper that is 1.5 feet long. You cut it into pieces that are each 0.5 foot long. How many pieces of scrap book paper do you have now?<br \/>\nAnswer:<br \/>\n1.5 \u00f7 0.5<br \/>\nShade 15 columns to represent 1.5.<br \/>\nDivide the model to show groups of 0.5.<br \/>\nThere are 3 groups of 5 tenths.<br \/>\nSo, 1.5 \u00f7 0.5 = 3<br \/>\nSo, I have 3 pieces of scrap book paper.<\/p>\n<p>Question 6.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend uses the model below and says 0.12 \u00f7 0.04 = 0.03. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16152\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-18.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 18\" width=\"143\" height=\"150\" \/><br \/>\nAnswer:<br \/>\n0.12 \u00f7 0.04<br \/>\nShade 1.2 columns to represent 0.12.<br \/>\nDivide the model to show groups of 0.04.<br \/>\nThere are 3 groups of 4 hundredths.<br \/>\nSo, 0.12 \u00f7 0.04 = 3<br \/>\nMy friend is not correct.<\/p>\n<p>Question 7.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite a real-life problem that involves dividing a decimal by another decimal.<br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nDoes the watercolor paint cost more than 3 times as much as the paintbrush? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16153\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-19.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 19\" width=\"194\" height=\"181\" \/><br \/>\nAnswer:<br \/>\nDivide the price of watercolor paint by the price of paintbrush to find how many times as cost it is.<br \/>\nUse a model. Shade 29.6 columns to represent 2.96.<br \/>\nDivide the model to show groups of 0.74.<br \/>\nThere are 4 groups of 74 hundredths.<br \/>\nSo, 2.96 \u00f7 0.74<br \/>\nCompare the quotient to 3.<br \/>\nSo, watercolor paint costs more than 3 times as much as the paintbrush.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have 3.75 cups of popcorn kernels. You fill a machine with 0.25 cup of kernels 3 times each hour. How many hours pass before you run out of kernels?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16154\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-7.6-20.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 7.6 20\" width=\"130\" height=\"186\" \/><br \/>\nAnswer:<br \/>\nFilling kernels each hour = 0.25 x 3 = 0.75<br \/>\nTotal cups of popcorn kernels = 3.75<br \/>\n3.75 \u00f7 0.75<br \/>\nShade 37.5 columns to represent 3.75.<br \/>\nDivide the model to show groups of 0.75.<br \/>\nThere are 5 groups of 75 hundredths.<br \/>\nSo, 3.75 \u00f7 0.75 = <strong>5 hours<\/strong><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Complete the equation. Identify the property shown.<\/strong><br \/>\nQuestion 10.<br \/>\n3 \u00d7 14 = 14 \u00d7 3<br \/>\nAnswer: Commutative Property of Multiplication<\/p>\n<p>Question 11.<br \/>\n8 \u00d7 (3 + 10) = (8 \u00d7 3) + (8 \u00d7 10)<br \/>\nAnswer: Distributive Property<\/p>\n<h3><a id=\"Lesson_7.7_Divide_Decimals\"><\/a>Lesson 7.7 Divide Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the model to find 0.96 \u00f7 0.32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16155\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 1\" width=\"167\" height=\"175\" \/><br \/>\nFind 96 \u00f7 32.<br \/>\nAnswer:<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can multiplying by a power of 10 help you divide decimals?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Divide Decimals by Decimals<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nTo divide by a decimal, multiply the divisor by a power of 10 to make it a whole number. Multiply the dividend by the same power of 10. Then divide as you would with whole numbers.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 6.12 \u00f7 1.8. Estimate _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16156\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 2\" width=\"587\" height=\"241\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-2.png 587w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-2-300x123.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 2.43 \u00f7 0.09.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16157\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 3\" width=\"568\" height=\"199\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-3.png 568w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-3-300x105.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><br \/>\nSo, 2.43 \u00f7 0.09 = ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Multiply the divisor by a power of 10 to make it a whole number. Then write the equivalent expression.<\/strong><br \/>\nQuestion 1.<br \/>\n3.5 \u00f7 0.5<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.5 by a power of 10 to make it a whole number. Then multiply 3.5 by the same power of 10.<br \/>\n0.5 x 10 = 5<br \/>\n3.5 x 10 = 35<br \/>\n35 \u00f7 5 = 7<br \/>\nSo, 3.5 \u00f7 0.5 = 7<\/p>\n<p>Question 2.<br \/>\n9.84 \u00f7 2.4<br \/>\nAnswer:<br \/>\nStep 1: Multiply 2.4 by a power of 10 to make it a whole number. Then multiply 9.84 by the same power of 10.<br \/>\n2.4 x 10 = 24<br \/>\n9.84 x 10 = 98.4<br \/>\nStep 2: Divide 98.4 \u00f7 24<br \/>\n98 \u00f7 24 = <strong>4<\/strong> with remainder 2.<br \/>\n24 \u00f7 24 = <strong>1<\/strong> with remainder 0.<br \/>\nSo, 9.84 \u00f7 2.4 = 4.1<\/p>\n<p>Question 3.<br \/>\n4.68 \u00f7 0.78<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.78 by a power of 10 to make it a whole number. Then multiply 4.68 by the same power of 10.<br \/>\n0.78 x 100 = 78<br \/>\n4.68 x 100 = 468<br \/>\nStep 2: Divide 468 \u00f7 78 = 6<br \/>\nSo, 4.68 \u00f7 0.78 = 6<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n28.47 \u00f7 0.39 = 7 3 . 0<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n75.85 \u00f7 3.7 = 2 0 . 5<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n4.51 \u00f7 4.1 = 1 . 1<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 7.<br \/>\n\\(\\sqrt [ 1.5 ]{ 7.5 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 7.5 by a power of 10 to make it a whole number. Then multiply 1.5 by the same power of 10.<br \/>\n7.5 x 10 = 75<br \/>\n1.5 x 10 = 15<br \/>\n75 \u00f7 15 = 5<br \/>\nSo, 7.5 \u00f7 1.5 = 5<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt [ 0.13 ]{ 0.91 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.91 by a power of 100 to make it a whole number. Then multiply 0.13 by the same power of 100.<br \/>\n0.91 x 100 = 91<br \/>\n0.13 x 100 = 13<br \/>\n91 \u00f7 13 = 7<br \/>\nSo, 0.91 \u00f7 0.13 = 7<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt [ 2.4 ]{ 2.88 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 2.88 by a power of 10 to make it a whole number. Then multiply 2.4 by the same power of 10.<br \/>\n2.88 x 10 = 28.8<br \/>\n2.4 x 10 = 24<br \/>\nStep 2: Divide 28.8 \u00f7 24<br \/>\n28 \u00f7 24 = <strong>1<\/strong> with remainder 4.<br \/>\n48 \u00f7 24 = <strong>2<\/strong> with remainder 0.<br \/>\nSo, 2.88 \u00f7 2.4 = 1.2<\/p>\n<p>Question 10.<br \/>\n\\(\\sqrt [ 0.6 ]{ 7.8 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 7.8 by a power of 10 to make it a whole number. Then multiply 0.6 by the same power of 10.<br \/>\n7.8 x 10 = 78<br \/>\n0.6 x 10 = 6<br \/>\n78 \u00f7 6 = 13<br \/>\nSo, 7.8 \u00f7 0.6 = 13<\/p>\n<p>Question 11.<br \/>\n\\(\\sqrt [ 3.6 ]{ 4.32 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 4.32 by a power of 10 to make it a whole number. Then multiply 3.6 by the same power of 10.<br \/>\n4.32 x 10 = 43.2<br \/>\n3.6 x 10 = 36<br \/>\nStep 2: Divide 43.2 \u00f7 36<br \/>\n43 \u00f7 36 = <strong>1<\/strong> with remainder 7.<br \/>\n72 \u00f7 36 = <strong>2<\/strong> with remainder 0.<br \/>\nSo, 4.32 \u00f7 3.6 = 1.2<\/p>\n<p>Question 12.<br \/>\n\\(\\sqrt [ 0.1 ]{ 11.2 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 11.2 by a power of 10 to make it a whole number. Then multiply 0.1 by the same power of 10.<br \/>\n11.2 x 10 = 112<br \/>\n0.1 x 10 = 1<br \/>\n112 \u00f7 1 = 112<br \/>\nSo, 11.2 \u00f7 0.1 = 112<\/p>\n<p>Question 13.<br \/>\n40.42 \u00f7 8.6 = ______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 8.6 by a power of 10 to make it a whole number. Then multiply 40.42 by the same power of 10.<br \/>\n8.6 x 10 = 86<br \/>\n40.42 x 10 = 404.2<br \/>\nStep 2: Divide 404.2 \u00f7 86<br \/>\n404 \u00f7 86 = <strong>4<\/strong> with remainder 60.<br \/>\n602 \u00f7 86 = <strong>7<\/strong> with remainder 0.<br \/>\nSo, 40.42 \u00f7 8.6 = 4.7<\/p>\n<p>Question 14.<br \/>\n7.2 \u00f7 2.4 = _______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 2.4 by a power of 10 to make it a whole number. Then multiply 7.2 by the same power of 10.<br \/>\n<span style=\"font-size: 16px;\">2.4 x 10 = 24<br \/>\n<\/span><span style=\"font-size: 16px;\">7.2 x 10 = 72<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 72 \u00f7 24 = 3<br \/>\n<\/span>So, 7.2 \u00f7 2.4 = 3<\/p>\n<p>Question 15.<br \/>\n5.76 \u00f7 1.8 = _______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 1.8 by a power of 10 to make it a whole number. Then multiply 5.76 by the same power of 10.<br \/>\n1.8 x 10 = 18<br \/>\n<span style=\"font-size: 16px;\">5.76 x 10 = 57.6<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 57.6 \u00f7 18<br \/>\n<\/span><span style=\"font-size: 16px;\">57 \u00f7 18 = <strong>3<\/strong> with remainder 3.<br \/>\n<\/span>36 <span style=\"font-size: 16px;\">\u00f7 18 = <strong>2<\/strong> <\/span>with remainder 0.<br \/>\nSo, 5.76 \u00f7 1.8 = 3.2<\/p>\n<p>Question 16.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nDescartes says 4.14 \u00f7 2.3 = 1.8. Is he correct? Explain.<br \/>\nAnswer:<br \/>\nStep 1: Multiply 2.3 by a power of 10 to make it a whole number. Then multiply 4.14 by the same power of 10.<br \/>\n2.3 x 10 = 23<br \/>\n<span style=\"font-size: 16px;\">4.14 x 10 = 41.4<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 41.4 \u00f7 23<br \/>\n<\/span><span style=\"font-size: 16px;\">41 \u00f7 23 = <\/span><strong style=\"font-size: 16px;\">1<\/strong><span style=\"font-size: 16px;\"> with remainder 18.<br \/>\n<\/span><span style=\"font-size: 16px;\">184 \u00f7 23 = <strong>8<\/strong> <\/span>with remainder 0.<br \/>\nSo, 4.14 \u00f7 2.3 = 1.8.<br \/>\nDescartes answer is correct.<\/p>\n<p>Question 17.<br \/>\n<strong>Logic<\/strong><br \/>\nWhat can you conclude about Newton\u2019s quotient?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16158\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 4\" width=\"193\" height=\"174\" \/><br \/>\nAnswer:<br \/>\nThe quotient will be above 5.72.<br \/>\nBecause if the divisor is less than 1 then the quotient must be greater than the dividend.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA farmer sells a bag of papayas for $5.46. How much does the bag of papayas weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16159\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 5\" width=\"341\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-5.png 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-5-300x198.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><br \/>\nDivide the price of the papayas by the price per pound to find how much the bag of papayas weighs.<br \/>\n5.46 \u00f7 1.3 = ? Estimate _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16160\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 6\" width=\"587\" height=\"241\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-6.png 587w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-6-300x123.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><br \/>\nSo, the bag of papayas weighs _______ pounds.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the table above.<\/strong><br \/>\nQuestion 18.<br \/>\nYou buy a honeydew for $6.08. What is the weight of the honeydew?<br \/>\nAnswer:<br \/>\nHoneydew price = $0.8<br \/>\n6.08 \u00f7 0.8<br \/>\nStep 1: Multiply 0.8 by a power of 10 to make it a whole number. Then multiply 6.08 by the same power of 10.<br \/>\n0.8 x 10 = 8<br \/>\n<span style=\"font-size: 16px;\">6.08 x 10 = 60.8<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 60.8 \u00f7 8<br \/>\n<\/span><span style=\"font-size: 16px;\">60 \u00f7 8 = <strong>7<\/strong> with remainder 4.<br \/>\n<\/span><span style=\"font-size: 16px;\">48 \u00f7 8 = <strong>6<\/strong> <\/span>with remainder 0.<br \/>\nSo, 6.08 \u00f7 0.8 = 7.6<br \/>\nWeight of the honeydew = 7.6 pounds<\/p>\n<p>Question 19.<br \/>\nYou buy a pumpkin for $7.20 and a watermelon for $5.94. Does the watermelon or the pumpkin weigh more? How much more?<br \/>\nAnswer:<br \/>\nPumpkin = 7.20 \u00f7 0.45<br \/>\nWatermelon = 5.94 \u00f7 0.33<br \/>\n7.20 \u00f7 0.45<br \/>\nStep 1: Multiply 0.45 by a power of 10 to make it a whole number. Then multiply 7.20 by the same power of 10.<br \/>\n0.45 x 100 = 45<br \/>\n<span style=\"font-size: 16px;\">7.20 x 100 = 720<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 720 \u00f7 45 = 16<br \/>\n<\/span>Pumpkin weight = 16 pounds<br \/>\n5.94 \u00f7 0.33<br \/>\nStep 1: Multiply 0.33 by a power of 10 to make it a whole number. Then multiply 5.94 by the same power of 10.<br \/>\n0.33 x 100 = 33<br \/>\n<span style=\"font-size: 16px;\">5.94 x 100 = 594<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 594 \u00f7 33 = 18<br \/>\n<\/span>Watermelon weight = 18 pounds<br \/>\nWatermelon weighs <strong>2 pounds<\/strong> more than the pumpkin.<\/p>\n<p>Question 20.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou pay $5 for a pineapple and receive $2.48 in change. The inedible parts of the pineapple weigh 1.75 pounds. How many pounds of edible pineapple do you have? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16161\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 7\" width=\"80\" height=\"156\" \/><br \/>\nAnswer:<br \/>\nAmount paid = 5 &#8211; 2.48 = $2.52<br \/>\npineapple price per pound = $0.63<br \/>\n2.52 <span style=\"font-size: 16px;\">\u00f7 0.63<br \/>\n<\/span>Step 1: Multiply 0.63 by a power of 10 to make it a whole number. Then multiply 2.52 by the same power of 10.<br \/>\n0.63 x 100 = 63<br \/>\n<span style=\"font-size: 16px;\">2.52 x 100 = 252<br \/>\n<\/span><span style=\"font-size: 16px;\">Step 2: Divide 252 \u00f7 63 = 4<br \/>\n<\/span>Total weight = 4 pounds<br \/>\nEdible pineapple = total weight &#8211; inedible pineapple weight<br \/>\n= 4 &#8211; 1.75<br \/>\n= 2.25<br \/>\nEdible pineapple weight = 2.25 pounds.<\/p>\n<h3><a id=\"Divide_Decimals_Homework_&amp;_Practice_7.7\"><\/a>Divide Decimals Homework &amp; Practice 7.7<\/h3>\n<p><strong>Multiply the divisor by a power of 10 to make it a whole number. Then write the equivalent expression.<\/strong><br \/>\nQuestion 1.<br \/>\n16.15 \u00f7 1.9<br \/>\nAnswer:<br \/>\nStep 1: Multiply 1.9 by a power of 10 to make it a whole number. Then multiply 16.15 by the same power of 10.<br \/>\n1.9 x 10 = 19<br \/>\n16.15 x 10 = 161.5<br \/>\nStep 2: Divide 161.5 \u00f7 19<br \/>\n161 \u00f7 19 = <strong>8<\/strong> with remainder 9.<br \/>\n95 \u00f7 19 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 16.15 \u00f7 1.9 = 8.5<\/p>\n<p>Question 2.<br \/>\n0.36 \u00f7 0.09<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.09 by a power of 10 to make it a whole number. Then multiply 0.36 by the same power of 10.<br \/>\n0.09 x 100 = 9<br \/>\n0.36 x 100 = 36<br \/>\nStep 2: Divide 36 \u00f7 9 = 4<br \/>\nSo, 0.36 \u00f7 0.09 = 4<\/p>\n<p>Question 3.<br \/>\n2.04 \u00f7 1.7<br \/>\nAnswer:<br \/>\nStep 1: Multiply 1.7 by a power of 10 to make it a whole number. Then multiply 2.04 by the same power of 10.<br \/>\n1.7 x 10 = 17<br \/>\n2.04 x 10 = 20.4<br \/>\nStep 2: Divide 20.4 \u00f7 17<br \/>\n20 \u00f7 17 = <strong>1<\/strong> with remainder 3.<br \/>\n34 \u00f7 17 = <strong>2<\/strong> with remainder 0.<br \/>\nSo, 2.04 \u00f7 1.7 = 1.2<\/p>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n81.27 \u00f7 13.5 = 6 . 0 2<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n5.76 \u00f7 3.2 = 1 . 8<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n47.15 \u00f7 2.3 = 2 0 . 5<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 7.<br \/>\n\\(\\sqrt [ 5.3 ]{ 21.2 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 5.3 by a power of 10 to make it a whole number. Then multiply 21.2 by the same power of 10.<br \/>\n5.3 x 10 = 53<br \/>\n21.2 x 10 = 212<br \/>\n212 \u00f7 53 = 4<br \/>\nSo, 21.2 \u00f7 5.3 = 4<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt [ 0.03 ]{ 76.38 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.03 by a power of 10 to make it a whole number. Then multiply 76.38 by the same power of 10.<br \/>\n0.03 x 100 = 3<br \/>\n76.38 x 100 = 7,638<br \/>\nStep 2: Divide 7638 \u00f7 3<br \/>\n76 \u00f7 3 = <strong>25<\/strong> with remainder 1.<br \/>\n138 \u00f7 3 = <strong>46<\/strong> with remainder 0.<br \/>\nSo, 76.38 \u00f7 0.03 = 25.46<\/p>\n<p><span style=\"font-size: 16px;\">Question 9.<\/span><\/p>\n<p>\\(\\sqrt [ 6.2 ]{ 33.48 } \\)<br \/>\nAnswer:<br \/>\nStep 1: Multiply 6.2 by a power of 10 to make it a whole number. Then multiply 33.48 by the same power of 10.<br \/>\n6.2 x 10 = 62<br \/>\n33.48 x 10 = 334.8<br \/>\nStep 2: Divide 334.8 \u00f7 62<br \/>\n334 \u00f7 62 = <strong>5<\/strong> with remainder 24.<br \/>\n248 \u00f7 62 = <strong>4<\/strong>\u00a0with remainder 0.<br \/>\nSo, 33.48 \u00f7 6.2 = 5.4<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 10.<br \/>\n0.63 \u00f7 0.09 = ______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 0.09 by a power of 10 to make it a whole number. Then multiply 0.63 by the same power of 10.<br \/>\n0.09 x 100 = 9<br \/>\n0.63 x 100 = 63<br \/>\nStep 2: Divide 63 \u00f7 9 = 7<br \/>\nSo, 0.63 \u00f7 0.09 = 7<\/p>\n<p>Question 11.<br \/>\n10.53 \u00f7 3.9 = ______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 3.9 by a power of 10 to make it a whole number. Then multiply 10.53 by the same power of 10.<br \/>\n3.9 x 10 = 39<br \/>\n10.53 x 10 = 105.3<br \/>\nStep 2: Divide 105.3 \u00f7 39<br \/>\n105 \u00f7 39 = <strong>2<\/strong> with remainder 27.<br \/>\n273 \u00f7 39 = <strong>7 <\/strong>with remainder 0.<br \/>\nSo, 10.53 \u00f7 3.9 = 2.7<\/p>\n<p>Question 12.<br \/>\n33.8 \u00f7 2.6 = ______<br \/>\nAnswer:<br \/>\nStep 1: Multiply 2.6 by a power of 10 to make it a whole number. Then multiply 33.8 by the same power of 10.<br \/>\n2.6 x 10 = 26<br \/>\n33.8 x 10 = 338<br \/>\nStep 2: Divide 338 \u00f7 26 = 13<br \/>\nSo, 33.8 \u00f7 2.6 = 13<\/p>\n<p>Question 13.<br \/>\n<strong>Logic<\/strong><br \/>\nWithout calculating, determine whether 5.4 \u00f7 0.9 is greater than or less than 5.4. Explain.<br \/>\nAnswer:<br \/>\n5.4 \u00f7 0.9 is greater than 5.4<br \/>\nIf the divisor is less than 1 then the quotient must be greater than the dividend.<\/p>\n<p>Question 14.<br \/>\n<strong>Structure<\/strong><br \/>\nExplain how 35.64 \u00f7 2.97 compares to 3,564 \u00f7 297.<br \/>\nAnswer:<br \/>\nBoth 35.64 \u00f7 2.97 and 3,564 \u00f7 297 are same.<br \/>\nBoth dividend and divisor are multiplied by same power of 10.<br \/>\n35.64 x 100 = 3564<br \/>\n2.97 x 100 = 297.<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA farmer sells a bag of grapes for $5.88. How much do the grapes weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16162\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 8\" width=\"279\" height=\"177\" \/><br \/>\nAnswer:<br \/>\nBag of grapes price = $5.88<br \/>\nGrapes price per pound = $2.80<br \/>\n5.88 \u00f7 2.8<br \/>\nStep 1: Multiply 2.8 by a power of 10 to make it a whole number. Then multiply 5.88 by the same power of 10.<br \/>\n2.8 x 10 = 28<br \/>\n5.88 x 10 = 58.8<br \/>\nStep 2: Divide 58.8 \u00f7 28<br \/>\n58 \u00f7 28 = <strong>2<\/strong> with remainder 2.<br \/>\n28 \u00f7 28 = <strong>1 <\/strong>with remainder 0.<br \/>\nSo, 5.88 \u00f7 2.8 = 2.1<br \/>\nGrapes weight = <strong>2.1 pounds<\/strong><\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nDescartes makes 2.5 times as many ounces of applesauce as Newton. Newton eats 8 ounces of his applesauce, and then divides the rest equally into 3 containers. How much applesauce is in each of Newton\u2019s containers?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16163\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals 7.7 9\" width=\"179\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-9.png 179w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-7.7-9-150x150.png 150w\" sizes=\"(max-width: 179px) 100vw, 179px\" \/><br \/>\nAnswer:<br \/>\nFrom the given information, Newton makes applesauce = 72.5 \u00f7 2.5<br \/>\nStep 1: Multiply 2.5 by a power of 10 to make it a whole number. Then multiply 72.5 by the same power of 10.<br \/>\n2.5 x 10 = 25<br \/>\n72.5 x 10 = 725<br \/>\nStep 2: Divide 725 \u00f7 25 = 29<br \/>\nSo, newton makes 29 ounces of applesauce<br \/>\nHe eats 8 ounces = 29 &#8211; 8 = 21<br \/>\n21 \u00f7 3 = 7 ounces.<br \/>\n<strong>7 ounces<\/strong> of applesauce is in each of Newton\u2019s containers.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 17.<br \/>\nWrite the number in two other forms.<br \/>\nStandard form:<br \/>\nWord form: two hundred thirty thousand, eighty-two<br \/>\nExpanded form:<br \/>\nAnswer:<br \/>\nStandard form is 230,082<br \/>\nExpanded form is 200000 + 30000 + 80 + 2.<\/p>\n<h3><a id=\"Lesson_7.8_Insert_Zeros_in_the_Dividend\"><\/a>Lesson 7.8 Insert Zeros in the Dividend<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the model to find each quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16164\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 1\" width=\"417\" height=\"375\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-1.png 417w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-1-300x270.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhy is the number of digits in the quotients you found above different than the number of digits in the dividends?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Inserting Zeros in the Dividend<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 52.6 \u00f7 4. Estimate ________<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16165\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 2\" width=\"616\" height=\"354\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-2.png 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-2-300x172.png 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 1 \u00f7 0.08.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16166\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 3\" width=\"624\" height=\"215\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-3.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-3-300x103.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 0.5 ]{ 85 } \\)<br \/>\nAnswer:<br \/>\nMultiply 0.5 by a power of 10 to make it a whole number. Then multiply 85 by the same power of 10.<br \/>\n0.5 x 10 = 5<br \/>\n85 x 10 = 850<br \/>\n850 \u00f7 5 = 170<br \/>\nSo, 85 \u00f7 0.5 = 170.<\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 15 ]{ 9.6 } \\)<br \/>\nAnswer:<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n96 \u00f7 15 = <strong>6<\/strong> with remainder 6.<br \/>\n60 \u00f7 15 = <strong>4<\/strong> with remainder 0.<br \/>\nSo, 9.6 \u00f7 15 = 0.64<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 0.24 ]{ 2.52 } \\)<br \/>\nAnswer:<br \/>\nMultiply 0.24 by a power of 10 to make it a whole number. Then multiply 2.52 by the same power of 10.<br \/>\n0.24 x 100 = 24<br \/>\n2.52 x 100 = 252<br \/>\n252 \u00f7 24<br \/>\n252 \u00f7 24 = <strong>10<\/strong> with remainder 12.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n120 \u00f7 24 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 2.52 \u00f7 0.24 = 10.5.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n3.24 \u00f7 0.48 = 6 . 7 5<br \/>\nAnswer:<\/p>\n<p>Question 5.<br \/>\n35 \u00f7 0.5 = 7 0.<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\n12.8 \u00f7 2.5 = 5 .1 2<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 7.<br \/>\n\\(\\sqrt [ 2.4 ]{ 0.84 } \\)<br \/>\nAnswer:<br \/>\nMultiply 2.4 by a power of 10 to make it a whole number. Then multiply 0.84 by the same power of 10.<br \/>\n2.4 x 10 = 24<br \/>\n0.84 x 10 = 8.4<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n84 \u00f7 24 = <strong>3<\/strong> with remainder 12.<br \/>\n120 \u00f7 24 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 0.84 \u00f7 2.4 = 0.35<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt [ 0.32 ]{ 2.08 } \\)<br \/>\nAnswer:<br \/>\nMultiply 0.32 by a power of 10 to make it a whole number. Then multiply 2.08 by the same power of 10.<br \/>\n0.32 x 100 = 32<br \/>\n2.08 x 100 = 208<br \/>\n208 \u00f7 32 = <strong>6<\/strong> with remainder 16.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n160 \u00f7 32 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 2.08 \u00f7 0.32 = 6.5<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt [ 4 ]{ 45.8 } \\)<br \/>\nAnswer:<br \/>\n45.8 \u00f7 4<br \/>\n45 \u00f7 4 = <strong>11<\/strong> with remainder 1.<br \/>\n18 \u00f7 4 = <strong>4<\/strong> with remainder 2.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n20 \u00f7 4 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 45.8 \u00f7 4 = 11.45.<\/p>\n<p>Question 10.<br \/>\n9 \u00f7 1.2 = ______<br \/>\nAnswer:<br \/>\nMultiply 1.2 by a power of 10 to make it a whole number. Then multiply 9 by the same power of 10.<br \/>\n1.2 x 10 = 12<br \/>\n9 x 10 = 90<br \/>\n90 \u00f7 12<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>12 ) 90 ( 7.5<\/p>\n<p>84<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>60<\/p>\n<p>&#8211; 60<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\nSo, 9 \u00f7 1.2 = 7.5<\/p>\n<p>Question 11.<br \/>\n3.5 \u00f7 2.5 = ______<br \/>\nAnswer:<br \/>\nMultiply 2.5 by a power of 10 to make it a whole number. Then multiply 3.5 by the same power of 10.<br \/>\n2.5 x 10 = 25<br \/>\n3.5 x 10 = 35<br \/>\n35 \u00f7 25<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n25 ) 35 ( 1.4<\/p>\n<p>25<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>100<\/p>\n<p>-100<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\nSo, 3.5 \u00f7 2.5 = 1.4<\/p>\n<p>Question 12.<br \/>\n1.8 \u00f7 12 = ______<br \/>\nAnswer:<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n12 ) 18 ( 1.5<\/p>\n<p>12<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>60<\/p>\n<p>&#8211; 60<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\nSo, 1.8 \u00f7 12 = 0.15<\/p>\n<p>Question 13.<br \/>\nYou read 2.5 chapters of the book each night. How many nights does it take you to finish the book?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16167\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 4\" width=\"128\" height=\"177\" \/><\/p>\n<p>Answer:<br \/>\nTotal chapters in the book = 15<br \/>\n15 \u00f7 2.5<br \/>\nMultiply 2.5 by a power of 10 to make it a whole number. Then multiply 15 by the same power of 10.<br \/>\n2.5 x 10 = 25<br \/>\n15 x 10 = 150<br \/>\n150 \u00f7 25 = <strong>6<\/strong> nights to finish the book.<\/p>\n<p>Question 14.<br \/>\n<strong>Precision<\/strong><br \/>\nWhy does Newton place zeros to the right of the dividend but Descartes does not?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16168\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 5\" width=\"403\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-5.png 403w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-5-300x161.png 300w\" sizes=\"(max-width: 403px) 100vw, 403px\" \/><br \/>\nAnswer:<br \/>\nNewton&#8217;s dividend does not have enough digits to divide completely, so he placed zeros to the right of the dividend.<br \/>\nDescartes dividend is a multiple of divisor and it is divided completely, so no need of placing zeros.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe John Muir Trail in Yosemite National Park is 210 miles long. A hiker completes the trail in 20 days by hiking the same distance each day. How many miles does the hiker travel each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16169\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 6\" width=\"213\" height=\"141\" \/><br \/>\nDivide 210 miles by 20 to find how many miles the hiker travels each day.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16170\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 7\" width=\"613\" height=\"214\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-7.png 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-7-300x105.png 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><br \/>\nSo, the hiker travels _______ miles each day.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nA box of 15 tablets weighs 288 ounces. Each tablet weighs the same number of ounces. What is the weight of each tablet?<br \/>\nAnswer:<br \/>\nDivide 288 ounces by 15 to find the weight of each tablet.<br \/>\n288 \u00f7 15<\/p>\n<p>15 ) 288 ( 19.2<\/p>\n<p>15<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>138<\/p>\n<p>-135<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>30<\/p>\n<p>&#8211; 30<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\n288 \u00f7 15 = 19.2<br \/>\nThe weight of each tablet = 19.2 ounces.<\/p>\n<p>Question 16.<br \/>\nWhich bag of dog food costs less per pound? Explain why it makes sense to write each quotient as a decimal in this situation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16171\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 8\" width=\"181\" height=\"151\" \/><br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA farmer sells a pound of rice for $0.12 and a pound of oats for $0.08. Can you buy more pounds of rice or oats with $3? How much more? Explain.<br \/>\nAnswer:<br \/>\nRice = 3 \u00f7 0.12<br \/>\nMultiply 0.12 by a power of 10 to make it a whole number. Then multiply 3 by the same power of 10.<br \/>\n0.12 x 100 = 12<br \/>\n3 x 100 = 300<br \/>\n300 \u00f7 12 = <strong>25<br \/>\n<\/strong>Oats = 3 \u00f7 0.08<br \/>\nMultiply 0.08 by a power of 10 to make it a whole number. Then multiply 3 by the same power of 10.<br \/>\n0.08 x 100 = 8<br \/>\n3 x 100 = 300<br \/>\n300 \u00f7 8 = <strong>37.5<br \/>\n<\/strong>I can buy <strong>12.5 pounds<\/strong> oats more than the rice.<\/p>\n<h3><a id=\"Insert_Zeros_in_the_Dividend_Homework_&amp;_Practice_7.8\"><\/a>Insert Zeros in the Dividend Homework &amp; Practice 7.8<\/h3>\n<p><strong>Place a decimal point where it belongs in the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n9.3 \u00f7 0.31 = 3 0.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\n10 \u00f7 0.8 = 1 2 . 5<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\n0.76 \u00f7 0.25 = 3 . 0 4<br \/>\nAnswer:<\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 4.<br \/>\n\\(\\sqrt [ 0.8 ]{ 30 } \\)<br \/>\nAnswer:<br \/>\nMultiply 0.8 by a power of 10 to make it a whole number. Then multiply 30 by the same power of 10.<br \/>\n0.8 x 10 = 8<br \/>\n30 x 10 = 300<br \/>\n300 \u00f7 8<br \/>\n30 \u00f7 8 = <strong>3<\/strong> with remainder 6.<br \/>\n60 \u00f7 8 = <strong>7<\/strong> with remainder 4.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n40 \u00f7 8 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 30 \u00f7 0.8 = 37.5.<\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 15 ]{ 91.2 } \\)<br \/>\nAnswer:<br \/>\n91.2 \u00f7 15<br \/>\n91 \u00f7 15 = <strong>6<\/strong> with remainder 1.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n120 \u00f7 15 = <strong>8<\/strong> with remainder 0.<br \/>\nSo, 91.2 \u00f7 15 = 6.08<\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt [ 35 ]{ 97.3 } \\)<br \/>\nAnswer:<br \/>\n97.3 \u00f7 35<br \/>\n97 \u00f7 35 = <strong>2<\/strong> with remainder 27.<br \/>\n273 \u00f7 35 = <strong>7<\/strong> with remainder 28.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n280 \u00f7 35 = <strong>8<\/strong> with remainder 0.<br \/>\nSo, 97.3 \u00f7 35 = 2.78.<\/p>\n<p>Question 7.<br \/>\n3.57 \u00f7 0.84 = ______<br \/>\nAnswer:<br \/>\nMultiply 0.84 by a power of 10 to make it a whole number. Then multiply 3.57 by the same power of 10.<br \/>\n0.84 x 100 = 84<br \/>\n3.57 x 100 = 357<br \/>\n357 \u00f7 84<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>84 ) 357 ( 4.25<\/p>\n<p>336<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>210<\/p>\n<p>-168<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>420<\/p>\n<p>&#8211; 420<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\n3.57 \u00f7 0.84 = 4.25<\/p>\n<p>Question 8.<br \/>\n20.2 \u00f7 4 = _____<br \/>\nAnswer:<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>4 ) 20.2 ( 5.05<\/p>\n<p>20<\/p>\n<p>&#8212;&#8212;<\/p>\n<p>20<\/p>\n<p>20<\/p>\n<p>&#8212;&#8212;<\/p>\n<p>0<br \/>\n20.2 \u00f7 4 = 5.05<\/p>\n<p>Question 9.<br \/>\n1.74 \u00f7 0.25 = _______<br \/>\nAnswer:<br \/>\nMultiply 0.25 by a power of 10 to make it a whole number. Then multiply 1.74 by the same power of 10.<br \/>\n0.25 x 100 = 25<br \/>\n1.74 x 100 = 174<br \/>\n174 \u00f7 25<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>25 ) 174 ( 6.96<\/p>\n<p>150<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>240<\/p>\n<p>-225<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>150<\/p>\n<p>-150<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>0<br \/>\n1.74 \u00f7 0.25 = 6.96<\/p>\n<p>Question 10.<br \/>\nA painter has 5 gallons of paint to use in a room. He uses 2.5 gallons of paint for 1 coat. How many coats can he paint?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16172\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 9\" width=\"108\" height=\"115\" \/><br \/>\nAnswer:<br \/>\nMultiply 2.5 by a power of 10 to make it a whole number. Then multiply 5 by the same power of 10.<br \/>\n2.5 x 10 = 25<br \/>\n5 x 10 = 50<br \/>\n50 \u00f7 25 = <strong>2<br \/>\n<\/strong>He can paint 2 coats.<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend say she can find 5.44 \u00f7 0.64 by dividing both the divisor and dividend by 0.01 to make an equivalent problem with a whole-number divisor. Is he correct? Explain.<br \/>\nAnswer:<br \/>\nTo divide this 5.44 \u00f7 0.64, multiply 0.64 by a power of 10 to make it a whole number. Then multiply 5.44 by the same power of 10.<br \/>\nMultiplying by 100 and dividing by 0.01 both are same.<br \/>\nSo, my friend is correct.<\/p>\n<p>Question 12.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain when you need to insert a zero in the dividend when dividing.<br \/>\nAnswer:<br \/>\nWhen dividend does not have enough digits to divide completely, then we need to insert a zero in the dividend.<br \/>\nFor example, 35 \u00f7 25<br \/>\nHere 35 is not a multiple of 25, so we have to add a zero to 35.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou cut a 12-foot-long streamer into 8 pieces of equal length. How long is each piece?<br \/>\nAnswer:<br \/>\nLength of each piece = 12 \u00f7 8<\/p>\n<p>8 ) 12 ( 1.5<\/p>\n<p>8<\/p>\n<p>&#8212;&#8211;<\/p>\n<p>40<\/p>\n<p>40<\/p>\n<p>&#8212;&#8211;<\/p>\n<p>0<br \/>\nSo, length of each piece = 1.5<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nHow many days longer does the bag of dog food last for the 20-pound dog than the 40-pound dog? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16173\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 7 Divide Decimals 7.8 10\" width=\"360\" height=\"257\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-10.png 360w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-7-Divide-Decimals-7.8-10-300x214.png 300w\" sizes=\"(max-width: 360px) 100vw, 360px\" \/><br \/>\nAnswer:<br \/>\nTotal cups of dog food = 200<br \/>\n20-pound dog eats per day = 1.25 cups<br \/>\n40-pound dog eats per day = 1.25 x 2 = 2.5 cups<br \/>\n200 \u00f7 1.25<br \/>\nMultiply 1.25 by a power of 10 to make it a whole number. Then multiply 200 by the same power of 10.<br \/>\n1.25 x 100 = 125<br \/>\n200 x 100 = 20,000<br \/>\n20,000 \u00f7 125<br \/>\n200 \u00f7 125 = <strong>1<\/strong> with remainder 75<br \/>\n7500 \u00f7 125 = <strong>60<\/strong> with remainder 0.<br \/>\nSo, 200 \u00f7 1.25 = 160<br \/>\nFood lasts for the 20-pound dog = <strong>160 days<br \/>\n<\/strong>40-pound dog = 200 \u00f7 2.5<br \/>\nMultiply 2.5 by a power of 10 to make it a whole number. Then multiply 200 by the same power of 10.<br \/>\n2.5 x 10 = 25<br \/>\n200 x 10 = 2000<br \/>\n2000 \u00f7 25 = 80<br \/>\nFood lasts for the 40-pound dog = <strong>80 days<\/strong><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the sum. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 15.<br \/>\n1.7 + 6.8 = ________<br \/>\nAnswer: 8.5<\/p>\n<p>Question 16.<br \/>\n150.23 + 401.79 = _______<br \/>\nAnswer: 552.02<\/p>\n<h3><a id=\"Lesson_7.9_Problem_Solving:_Decimal_Operations\"><\/a>Lesson 7.9 Problem Solving: Decimal Operations<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Make a plan to solve the problem.<br \/>\nThree friends take a taxi ride that costs $4.75 per mile. They travel 10.2 miles and tip the driver $8. They share the total cost equally. How much does each friend pay?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16174\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 1\" width=\"236\" height=\"201\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nExplain how you can work backward to check your answer.<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Problem Solving: Decimal Operations<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou spend $67.45 on the video game controller, the gaming headset, and 3 video games. The video games each cos the same amount. How much does each video game cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16175\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 2\" width=\"357\" height=\"152\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-2.png 357w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-2-300x128.png 300w\" sizes=\"(max-width: 357px) 100vw, 357px\" \/><br \/>\n<strong>Understand the Problem<\/strong><br \/>\nWhat do you know?<br \/>\n\u2022 You spend a total of $67.45.<br \/>\n\u2022 The controller costs $15.49 and the headset costs $21.99.<br \/>\n\u2022 You buy 3 video games that each cost the same amount.<\/p>\n<p>What do you need to find?<br \/>\n\u2022 You need to find the cost of each video game.<\/p>\n<p><strong>Make a Plan<\/strong><br \/>\nHow will you solve?<br \/>\nWrite and solve an equation to find the cost of each video game.<\/p>\n<p><strong>Solve<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16176\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 3\" width=\"533\" height=\"202\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-3.png 533w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-3-300x114.png 300w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><br \/>\nSo, each video game costs ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can check whether your answer above is reasonable.<br \/>\nAnswer:<br \/>\nv = (67.45 &#8211; 15.49 &#8211; 21.99) \u00f7 3<br \/>\n= 29.97 \u00f7 3<br \/>\nv = 9.99<br \/>\nSo, each video game costs $9.99.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Understand the problem. What do you know? What do you need to find? Explain.<\/strong><br \/>\nQuestion 2.<br \/>\nYour friend pays $84.29 for a sewing machine and 6 yards of fabric. The sewing machine costs $59.99. How much does each yard of fabric cost?<br \/>\nAnswer:<\/p>\n<p><strong>What do you know?<\/strong><br \/>\n\u2022 You spend a total of $84.29 for a sewing machine and 6 yards of fabric.<br \/>\n\u2022 The sewing machine costs $59.99 and the 6 yards of fabric costs $24.3.<\/p>\n<p><strong>What do you need to find?<\/strong><\/p>\n<p>We have to find each yard of fabric cost.<br \/>\n1 yard of fabric cost = 24.3 \u00f7 6<br \/>\nSo, each yard of fabric costs = $4.05<\/p>\n<p>Question 3.<br \/>\nThere are 25.8 grams of fiber in 3 cups of cooked peas. There are 52.5 grams of fiber in 5 cups of avocados. Which contains more fiber in 1 cup, cooked peas or avocados?<br \/>\nAnswer:<br \/>\nCooked peas = 25.8 \u00f7 3 = 8.6 grams<br \/>\nAvocados = 52.5 \u00f7 3 = 10.5 grams<br \/>\nSo, avocados contains more fiber in 1 cup.<\/p>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 4.<br \/>\nYour friend makes a hexagonal frame with a perimeter of 7.5 feet. You make a triangular frame with a perimeter of 5.25 feet. Whose frame has longer side lengths? How much longer?<br \/>\nAnswer:<br \/>\nHexagonal perimeter = 6a = 7.5 feet<br \/>\nTriangular perimeter = 3sides(3a) = 5.25 feet<br \/>\nSo, 6a \u00f7 2 = 3a<br \/>\n7.5 \u00f7 2 = 3.75 feet<br \/>\n5.25 &#8211; 3.75 = 1.5 feet<br \/>\nSo, triangular frame has <strong>1.5 feet<\/strong> longer side lengths.<\/p>\n<p>Question 5.<br \/>\nYou spend $119.92 on the wet suit, the snorkeling equipment, and 2 research books. The books each cost the same amount. How much does each book cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16177\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 4\" width=\"246\" height=\"138\" \/><br \/>\nAnswer:<br \/>\nWrite and solve an equation to find the cost of each book.<br \/>\ncost of each book = (Amount spend &#8211; wet suit cost &#8211; snorkeling equipment cost) \u00f7 2<br \/>\n= (119.92 &#8211; 64.95 &#8211; 14.99) \u00f7 2<br \/>\n= 39.98 \u00f7 2<br \/>\n= 19.99<br \/>\nSo, each book costs $19.99.<\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou pour goop into molds and bake them to make plastic lizards. You run out of goop and go shopping for more. Which package costs less per ounce of goop? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16178\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-5.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 5.1\" width=\"322\" height=\"247\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-5.1.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-5.1-300x230.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16179\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 5\" width=\"159\" height=\"85\" \/><br \/>\nAnswer:<br \/>\nFluorescent package = 40.5 \u00f7 2.25 = $18<br \/>\nColor-Changing package = 16.2 \u00f7 1.8 = $9<br \/>\nSo, Color-Changing package costs less per ounce of goop.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nDescartes spends $16.40 on the game app, an e-book, and 5 songs. The e-book costs 4 times as much as the game app. The songs each cost the same amount. How much does each song cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16180\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 6\" width=\"115\" height=\"218\" \/><br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\nStep 1: Multiply the cost of the app by4 to find the cost of the e-book.<br \/>\n1.99 \u00d7 4 = 7.96 The e-book costs _______.<br \/>\nStep 2: Write and solve an equation to find the cost of each song.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16181\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 7\" width=\"444\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-7.png 444w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-7-300x46.png 300w\" sizes=\"(max-width: 444px) 100vw, 444px\" \/><br \/>\nLet c represent the cost of each song.<br \/>\nc = (16.40 &#8211; 1.99 &#8211; 7.96) \u00f7 5c<br \/>\n= _____ \u00f7 5<br \/>\n= _____<br \/>\nSo, each song costs $ ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 7.<br \/>\nYou spend $2.24 on a key chain, a bookmark, and 2 pencils. The key chain costs 3 times as much as the bookmark. The pencils each cost the same amount. How much does each pencil cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16182\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 8\" width=\"136\" height=\"155\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nBookmark cost = $0.45<br \/>\nKey chain cost = 3 x 0.45 = $1.35<br \/>\nWrite and solve an equation to find the cost of each pencil.<br \/>\ncost of each pencil = (Amount spend &#8211; keychain cost &#8211; bookmark cost) \u00f7 2<br \/>\n= (2.24 &#8211; 1.35 &#8211; 0.45) \u00f7 2<br \/>\n= 0.44 \u00f7 2<br \/>\n= $0.22<br \/>\nSo, cost of each pencil = $0.22.<\/p>\n<p>Question 8.<br \/>\nNewton buys an instant-print camera, a camera bag, and 2 packs of film. He pays $113.96 after using a $5 coupon. The camera costs $69.40, which is 5 times as much as the camera case. How much does each pack of film cost?<br \/>\nAnswer:<br \/>\nTotal cost = 113.96 + 5 = $118.96<br \/>\nCamera cost = $69.40<br \/>\nCamera case cost = 69.40 \u00f7 5 = $13.88<br \/>\nWrite and solve an equation to find the cost of each pack of film cost.<br \/>\ncost of each pack of film = (amount spend &#8211; camera cost &#8211; camera case cost) \u00f7 2<br \/>\n= (118.96 &#8211; 69.40 &#8211; 13.88) \u00f7 2<br \/>\n= 35.68 \u00f7 2<br \/>\n= 17.84<br \/>\nSo, cost of each pack of film = $17.84<\/p>\n<h3><a id=\"Problem_Solving:_Decimal_Operations_Homework_&amp;_Practice_7.9\"><\/a>Problem Solving: Decimal Operations Homework &amp; Practice 7.9<\/h3>\n<p><strong>Understand the problem. What do you know? What do you need to find? Explain.<\/strong><br \/>\nQuestion 1.<br \/>\nA 20-ounce bottle of ketchup costs $2.80. A 14-ounce bottle of mustard costs $2.38. Which item costs less per ounce? How much less?<br \/>\nAnswer:<br \/>\n20-ounce bottle of ketchup costs = $2.80<br \/>\n14-ounce bottle of mustard costs = $2.38<br \/>\n1 ounce ketchup = 2.8 \u00f7 20 = $0.14<br \/>\n1 ounce mustard = 2.38 \u00f7 14 = $0.17<br \/>\nKetchup costs <strong>$0.03<\/strong> less per ounce than mustard.<\/p>\n<p>Question 2.<br \/>\nGymnast A scores the same amount in each of his 4 events. Gymnast B scores the same amount in each of his 3 events. Which gymnast scores more in each of his events? How much more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16183\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 9\" width=\"191\" height=\"101\" \/><br \/>\nAnswer:<br \/>\nGymnast A in each of his events = 33.56 \u00f7 4 = 8.39 points<br \/>\nGymnast B in each of his events = 25.05 \u00f7 3 = 8.35 points<br \/>\nGymnast A scores <strong>0.04 points<\/strong> more in each of his events than gymnast B.<\/p>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 3.<br \/>\nThree children\u2019s tickets to the circus cost $53.85. Two adult tickets to the circus cost $63.90. How much more does 1 adult ticket cost than 1 children\u2019s ticket? Which item costs more per ounce? How much more?<br \/>\nAnswer:<br \/>\n3 children\u2019s tickets cost = $53.85<br \/>\n2 adult tickets cost = $63.90<br \/>\n1 adult ticket cost = 63.90 \u00f7 2 = $31.95<br \/>\n1 children\u2019s ticket cost = 53.85 \u00f7 3 = $17.95<br \/>\nOne adult ticket cost is <strong>$14<\/strong> more than 1 children\u2019s ticket.<\/p>\n<p>Question 4.<br \/>\nA chef at a restaurant buys 50 pounds of red potatoes for $27.50 and 30 pounds of sweet potatoes for $22.50. Which kind of potato costs more per pound? How much more?<br \/>\nAnswer:<br \/>\nRed potatoes per pound = 27.5 \u00f7 50 = $0.55<br \/>\nSweet potatoes per pound = 22.5 \u00f7 30 = $0.75<br \/>\nSweet potatoes costs <strong>$0.2<\/strong> more per pound than red potatoes.<\/p>\n<p>Question 5.<br \/>\nModeling Real Life<br \/>\nYou download 2 music videos, a TV series, and a movie for $42.95 total. The TV series costs 2 times as much as the movie. How much does each music video cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16184\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 10\" width=\"121\" height=\"176\" \/><br \/>\nAnswer:<br \/>\nTotal cost = $42.95<br \/>\nMovie cost = $12.99<br \/>\nTV series cost = $25.98<br \/>\nWrite and solve an equation to find the cost of each music video cost.<br \/>\ncost of each music video = (total cost &#8211; movie cost &#8211; TV series cost) \u00f7 2<br \/>\n= (42.95 &#8211; 12.99 &#8211; 25.98) \u00f7 2<br \/>\n= 3.98 \u00f7 2<br \/>\n= 1.99<br \/>\nSo, cost of each music video = <strong>$1.99.<\/strong><\/p>\n<p>Question 6.<br \/>\nDIG DEEPER!<br \/>\nWhich item costs more per ounce? How much more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16185\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 7 Divide Decimals 7.9 11\" width=\"328\" height=\"197\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-11.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-7-Divide-Decimals-7.9-11-300x180.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\nGlue cost = 23.04 \u00f7 1 = 23.04<br \/>\nPaste cost = 4.00 \u00f7 2 = 2<br \/>\nGlue costs <strong>$21.04<\/strong> more than paste.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 7.<br \/>\n4,000 \u00f7 20 = ______<br \/>\nAnswer: 200<\/p>\n<p>Question 8.<br \/>\n900 \u00f7 300 = _______<br \/>\nAnswer: 3<\/p>\n<p>Question 9.<br \/>\n5,600 \u00f7 800 = _______<br \/>\nAnswer: 7<\/p>\n<h3><a id=\"Divide_Decimals_Performance_Task\"><\/a>Divide Decimals Performance Task<\/h3>\n<p>Question 1.<br \/>\nMultiple teams adopt different sections of a state highway to clean. The teams must clean both sides of their adopted section of the highway.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16186\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 1\" width=\"191\" height=\"189\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 2\" width=\"416\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-2.png 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-2-300x123.png 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\na. The teams clean their section of the highway over 4 days. They clean the same distance each day.How many miles of the highway does each team clean each day?<br \/>\nb. Each team divides their daily distance equally among each team member. Which team\u2019s members clean the greatest distance each day?<br \/>\nc. The team that collects the greatest amount of litter per team member wins a prize.Which team wins the prize?<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nIn a community, 25 people volunteer to clean the rectangular park shown. The park is divided into sections of equal area. One section is assigned to each volunteer. What is the area of the section that each volunteer cleans? What is one possible set of dimensions for 24.5 m each section?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 3\" width=\"149\" height=\"173\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Divide_Decimals_Activity\"><\/a>Divide Decimals Activity<\/h3>\n<p><strong>Race Around the World: Division<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns.<br \/>\n2. On your turn, flip a Race Around the World: Division Card and find the quotient.<br \/>\n3. Move your piece to the next number on the board that is highlighted in the quotient.<br \/>\n4. The first player to make it back to North America wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals 4\" width=\"682\" height=\"693\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-4.png 682w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-4-295x300.png 295w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Divide_Decimals_Chapter_Practice\"><\/a>Divide Decimals Chapter Practice<\/h3>\n<p><strong>7.1 Division Patterns with Decimals<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n25 \u00f7 10<sup>2<\/sup> = ______<br \/>\nAnswer:<br \/>\nFirst Simplify the 10<sup>2<\/sup> which means \u00a010 x 10\u00a0 =100, then we need to calculate the fraction to a decimal just divide the numerator (25) by the denominator (100).<br \/>\nWhen we divide by 100, the decimal point moves two places to the left.<br \/>\n25 \u00f7 10<sup>2<\/sup> = 0.25.<\/p>\n<p>Question 2.<br \/>\n1.69 \u00f7 0.01 = ______<br \/>\nAnswer: To convert this simple fraction to a decimal just divide the numerator (1.69) by the denominator (0.01). When we divide by 0.01, the decimal point moves two places to the right.<\/p>\n<p>1.69 \u00f7 0.01 = 169.<\/p>\n<p>Question 3.<br \/>\n681 \u00f7 10<sup>3<\/sup> = ______<br \/>\nAnswer:<br \/>\nFirst Simplify the 10<sup>3<\/sup> which means \u00a010 x 10 x 10 =1000, then we need to calculate the fraction to a decimal just divide the numerator (681) by the denominator (1000).<br \/>\nWhen we divide by 1000, the decimal point moves three places to the left.<br \/>\n681 \u00f7 10<sup>3<\/sup> = 0.681.<\/p>\n<p>Question 4.<br \/>\n5.7 \u00f7 0.1 = _____<br \/>\nAnswer:<br \/>\nTo convert this simple fraction to a decimal just divide the numerator (5.7) by the denominator (0.1). When we divide by 0.1, the decimal point moves one places to the right.<br \/>\n5.7 \u00f7 0.1 = 57<\/p>\n<p>Question 5.<br \/>\n200 \u00f7 0.01 = _____<br \/>\nAnswer:<br \/>\nTo convert this simple fraction to a decimal just divide the numerator 200 by the denominator (0.01). When we divide by 0.01, the decimal point moves one places to the right.<\/p>\n<p>Question 6.<br \/>\n41.3 \u00f7 10 = _____<br \/>\nAnswer:\u00a0To convert this simple fraction to a decimal just divide the numerator (41.3) by the denominator (10). When we divide by 10, the decimal point moves one places to the left.<br \/>\n41.3 \u00f7 10 = 4.13<\/p>\n<p><strong>Find the value of k.<\/strong><br \/>\nQuestion 7.<br \/>\n74 \u00f7 k = 7,400<br \/>\nAnswer:<br \/>\n74 \u00f7 7400 = k<\/p>\n<p>Explanation: To convert this simple fraction to a decimal just divide the numerator (74) by the denominator (7400). When we divide by 100, the decimal point moves two places to the left.<br \/>\n74 \u00f7 7400 = 0.01<br \/>\n<strong>k = 0.01.<\/strong><\/p>\n<p>Question 8.<br \/>\nk \u00f7 0.1 = 8.1<br \/>\nAnswer:<br \/>\nk = 8.1 x 0.1<br \/>\n<strong>k = 0.81.<\/strong><\/p>\n<p>Question 9.<br \/>\n0.35 \u00f7 k = 0.035<br \/>\nAnswer:<br \/>\n0.35 \u00f7 0.035 = k<br \/>\nExplanation: To convert this simple fraction to a decimal just divide the numerator (0.35) by the denominator (0.035). When we divide by 0.01, the decimal point moves two places to the right.<br \/>\n0.35 \u00f7 0.035 = 10<br \/>\n<strong>k = 10.<\/strong><\/p>\n<p><strong>7.2 Estimate Decimal Quotients<\/strong><\/p>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 10.<br \/>\n9.6 \u00f7 2<br \/>\nAnswer:<br \/>\n9.6 is closer to 10.<br \/>\n10 \u00f7 2 = 5<br \/>\n9.6 \u00f7 2 is about 5.<\/p>\n<p>Question 11.<br \/>\n37.2 \u00f7 6.4<br \/>\nAnswer:<br \/>\nRound the divisor 6.4 to 6.<br \/>\nThink: What numbers close to 37.2 are easily divided by 6?<br \/>\nUse 36.<br \/>\n<span style=\"font-size: 16px;\">36 \u00f7 6 = 6<br \/>\n<\/span><span style=\"font-size: 16px;\">So, 37.2 \u00f7 6.4 is about 6.<\/span><\/p>\n<p>Question 12.<br \/>\n44.8 \u00f7 4.7<br \/>\nAnswer:<br \/>\nRound the divisor 4.7 to 5.<br \/>\nThink: What numbers close to 44.8 are easily divided by 5?<br \/>\nUse 45.<br \/>\n<span style=\"font-size: 16px;\">45 \u00f7 5 = 9<br \/>\n<\/span><span style=\"font-size: 16px;\">So, 44.8 \u00f7 4.7 is about 9.<\/span><\/p>\n<p>Question 13.<br \/>\n78.2 \u00f7 10.8<br \/>\nAnswer:<br \/>\nRound the divisor 10.8 to 11.<br \/>\nThink: What numbers close to 78.2 are easily divided by 11?<br \/>\nUse 77.<br \/>\n<span style=\"font-size: 16px;\">77 \u00f7 11 = 7<br \/>\n<\/span><span style=\"font-size: 16px;\">So, 78.2 \u00f7 10.8 is about 7.<\/span><\/p>\n<p><strong>7.3 Use Models to Divide Decimals by Whole Numbers<\/strong><\/p>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 14.<br \/>\n1.4 \u00f7 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 14\" width=\"276\" height=\"140\" \/><br \/>\nAnswer:<br \/>\nThink: 1.4 is 1 ones and 4 tenths.<br \/>\n14 tenths can be divided equally as 2 groups of <strong>7 tenths.<br \/>\n<\/strong>1.4 \u00f7 2 = 0.7<\/p>\n<p>Question 15.<br \/>\n2.85 \u00f7 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16191\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 15\" width=\"408\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-15.png 408w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-15-300x109.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/><br \/>\nAnswer:<br \/>\nThink: 2.85 is 2 ones, 8 tenths and 5 hundredths.<br \/>\n28 tenths can be divided equally as 3 groups of <strong>9 tenths<\/strong> with remainder 1. Remainder has to place before 5 hundredths.<br \/>\n15 hundredths can be divided equally as 3 groups of <strong>5 hundredths<\/strong>.<br \/>\nSo, 285 hundredths can be divided equally as 3 groups of 95 hundredths.<br \/>\n2.85 \u00f7 3 = 0.95<\/p>\n<p><strong>Use a model to find the quotient.<\/strong><br \/>\nQuestion 16.<br \/>\n1.28 \u00f7 4<br \/>\nAnswer:<br \/>\nThink: 1.28 is 1 ones, 2 tenths and 8 hundredths.<br \/>\n12 tenths can be divided equally as 4 groups of <strong>3 tenths<br \/>\n<\/strong>8 hundredths can be divided equally as 4 groups of <strong>2 hundredths<\/strong>.<br \/>\nSo, 128 hundredths can be divided equally as 4 groups of 32 hundredths.<br \/>\n1.28 \u00f7 4 = 0.32<\/p>\n<p>Question 17.<br \/>\n3.5 \u00f7 5<br \/>\nAnswer:<br \/>\nThink: 3.5 is 3 ones and 5 tenths.<br \/>\n35 tenths can be divided equally as 5 groups of <strong>7 tenths.<br \/>\n<\/strong>3.5 \u00f7 5 = 0.7<\/p>\n<p><strong>7.4 Divide Decimals by One-Digit Numbers<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 18.<br \/>\n\\(\\sqrt [ 3 ]{ 14.1 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n14 \u00f7 3<br \/>\n<strong>4 ones<\/strong> x 3 = 12<br \/>\n<span style=\"font-size: 16px;\">14 ones &#8211; 12 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 2 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n21 \u00f7 3 = <strong>7 tenths.<br \/>\n<\/strong>So, 14.1 \u00f7 3 = 4.7<\/p>\n<p>Question 19.<br \/>\n\\(\\sqrt [ 6 ]{ 67.68 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n67 \u00f7 6<br \/>\n<strong>11 ones<\/strong> x 6 = 66<br \/>\n<span style=\"font-size: 16px;\">67 ones &#8211; 66 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n16 \u00f7 6<br \/>\n<strong>2 tenths<\/strong> x 6 = 12<br \/>\n16 &#8211; 12 = 4<br \/>\nThere are 4 tenths left over.<br \/>\nDivide the hundredths<br \/>\n48 \u00f7 6 = <strong>8 hundredths.<br \/>\n<\/strong>So, 67.68 \u00f7 6 = 11.28<\/p>\n<p>Question 20.<br \/>\n\\(\\sqrt [ 8 ]{ 105.6 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n105 \u00f7 8<br \/>\n<strong>13 ones<\/strong> x 8 = 104<br \/>\n<span style=\"font-size: 16px;\">105 ones &#8211; 104 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n16 \u00f7 8 = <strong>2 tenths.<br \/>\n<\/strong>So, 105.6 \u00f7 8 = 13.2<\/p>\n<p>Question 21.<br \/>\nNumber Sense<br \/>\nEvaluate (84.7 + 79.8) \u00f7 7.<br \/>\nAnswer:<br \/>\n(84.7 + 79.8) \u00f7 7 = 164.5 \u00f7 7<br \/>\nDivide the ones<br \/>\n164 \u00f7 7<br \/>\n<strong>23 ones<\/strong> x 7 = 161<br \/>\n<span style=\"font-size: 16px;\">164 ones &#8211; 161 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n35 \u00f7 7<br \/>\n<strong>5 tenths<\/strong> x 7<br \/>\n35 &#8211; 35 = 0<br \/>\nThere are 0 tenths left over.<br \/>\nSo, 164.5 \u00f7 7 = 23.5<\/p>\n<p><strong>7.5 Divide Decimals by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 22.<br \/>\n\\(\\sqrt [ 32 ]{ 45.12 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n45 \u00f7 32<br \/>\n<strong>1 ones<\/strong> x 32 = 32<br \/>\n<span style=\"font-size: 16px;\">45 ones &#8211; 32 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 13 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n131 \u00f7 32<br \/>\n<strong>4 tenths<\/strong> x 32 = 128<br \/>\n<span style=\"font-size: 16px;\">131 &#8211; 128 = 3<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 3 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n32 \u00f7 32 = <strong>1 hundredths.<br \/>\n<\/strong>So, 45.12 \u00f7 32 = 1.41<\/p>\n<p>Question 23.<br \/>\n\\(\\sqrt [ 15 ]{ 9.15 } \\)<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n91 \u00f7 15<br \/>\n<strong>6 tenths<\/strong> x 15 = 90<br \/>\n<span style=\"font-size: 16px;\">91 &#8211; 90 = 1<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 1 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n15 \u00f7 15 = <strong>1 hundredths.<br \/>\n<\/strong>So, 9.15 \u00f7 15 = 0.61<\/p>\n<p>Question 24.<br \/>\n\\(\\sqrt [ 73 ]{ 102.2 } \\)<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n102 \u00f7 73<br \/>\n<strong>1 ones<\/strong> x 73 = 73<br \/>\n<span style=\"font-size: 16px;\">102 ones &#8211; 73 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 29 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n292 \u00f7 73 = <strong>4 tenths.<br \/>\n<\/strong>So, 102.2 \u00f7 73 = 1.4<\/p>\n<p>Question 25.<br \/>\n17.4 \u00f7 87 = ______<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n174 \u00f7 87<br \/>\n<strong>2 tenths<\/strong> x 87<br \/>\n174 &#8211; 174 = 0<br \/>\nThere are 0 tenths left over.<br \/>\n17.4 \u00f7 87 = 0.2<\/p>\n<p>Question 26.<br \/>\n245.82 \u00f7 51 = _______<br \/>\nAnswer:<br \/>\nDivide the ones<br \/>\n245 \u00f7 51<br \/>\n<strong>4 ones<\/strong> x 51 = 204<br \/>\n<span style=\"font-size: 16px;\">245 ones &#8211; 204 ones<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 41 ones left over.<br \/>\n<\/span>Divide the tenths<br \/>\n418 \u00f7 51<br \/>\n<strong>8 tenths<\/strong> x 51<br \/>\n<span style=\"font-size: 16px;\">418 &#8211; 408 = 10<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 10 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n102 \u00f7 51 = <strong>2 hundredths<br \/>\n<\/strong>So, 245.82 \u00f7 51 = 4.82<\/p>\n<p>Question 27.<br \/>\n5.88 \u00f7 42 = ______<br \/>\nAnswer:<br \/>\nDivide the tenths<br \/>\n58 \u00f7 42<br \/>\n<strong>1 <\/strong>tenths \u00a0x 42 = 42<br \/>\n<span style=\"font-size: 16px;\">58 <\/span>tenths <span style=\"font-size: 16px;\">&#8211; 42 tenths<br \/>\n<\/span><span style=\"font-size: 16px;\">There are 16 tenths left over.<br \/>\n<\/span>Divide the hundredths<br \/>\n168 \u00f7 42<br \/>\n<strong>4 hundredths<\/strong> x 42<br \/>\n168 &#8211; 168 = 0<br \/>\nThere are 0 hundredths left over.<br \/>\nSo, 5.88 \u00f7 42 = 0.14<\/p>\n<p><strong>7.6 Use Models to Divide Decimals<\/strong><\/p>\n<p><strong>Use the model to find the quotient.<\/strong><br \/>\nQuestion 28.<br \/>\n0.9 \u00f7 0.45 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16192\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-28.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 28\" width=\"143\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nShade 9 columns to represent 0.9.<br \/>\nDivide the model to show groups of 0.45.<br \/>\nThere are 2 groups of 45 hundredths.<br \/>\nSo, 0.9 \u00f7 0.45 = 2<\/p>\n<p>Question 29.<br \/>\n0.1 \u00f7 0.05 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16193\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-29.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 29\" width=\"145\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nShade 1 column to represent 0.1.<br \/>\nDivide the model to show groups of 0.05.<br \/>\nThere are 2 groups of 5 hundredths.<br \/>\nSo, 0.1 \u00f7 0.05 = 2<\/p>\n<p>Question 30.<br \/>\n1.6 \u00f7 0.4 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16194\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-30.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 30\" width=\"276\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nShade 16 columns to represent 1.6.<br \/>\nDivide the model to show groups of 0.4.<br \/>\nThere are 4 groups of 4 tenths.<br \/>\nSo, 1.6 \u00f7 0.4 = 4<\/p>\n<p>Question 31.<br \/>\n1.9 \u00f7 0.38 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-31.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 31\" width=\"280\" height=\"152\" \/><br \/>\nAnswer:<br \/>\nShade 19 columns to represent 1.9.<br \/>\nDivide the model to show groups of 0.38.<br \/>\nThere are 5 groups of 38 hundredths.<br \/>\nSo, 1.9 \u00f7 0.38 = 5<\/p>\n<p><strong>7.7 Divide Decimals<\/strong><\/p>\n<p><strong>Find the quotient. Then check your answer.<\/strong><br \/>\nQuestion 32.<br \/>\n\\(\\sqrt [ 2.57 ]{ 20.56 } \\)<br \/>\nAnswer:<br \/>\nMultiply 2.57 by a power of 10 to make it a whole number. Then multiply 20.56 by the same power of 10.<br \/>\n2.57 x 100 = 257<br \/>\n20.56 x 100 = 2056<br \/>\n2056 \u00f7 257 = 8<br \/>\nSo, 20.56 \u00f7 2.57 = 8.<\/p>\n<p>Question 33.<br \/>\n\\(\\sqrt [ 4.7 ]{ 16.92 } \\)<br \/>\nAnswer:<br \/>\nMultiply 4.7 by a power of 10 to make it a whole number. Then multiply 16.92 by the same power of 10.<br \/>\n4.7 x 10 = 47<br \/>\n16.92 x 10 = 169.2<br \/>\nStep 2 : Divide 169.2 \u00f7 47<br \/>\n169 \u00f7 47 = <strong>3<\/strong> with remainder 28.<br \/>\n282 \u00f7 47 = <strong>6<\/strong> with remainder 0.<br \/>\nSo, 16.92 \u00f7 4.7 = 3.6.<\/p>\n<p>Question 34.<br \/>\n\\(\\sqrt [ 5.3 ]{ 63.6 } \\)<br \/>\nAnswer:<br \/>\nMultiply 5.3 by a power of 10 to make it a whole number. Then multiply 63.6 by the same power of 10.<br \/>\n5.3 x 10 = 53<br \/>\n63.6 x 10 = 636<br \/>\n636 \u00f7 53 = 12<br \/>\nSo, 63.6 \u00f7 5.3 = 12.<\/p>\n<p><strong>7.8 Insert Zeros in the Dividend<\/strong><\/p>\n<p>Question 35.<br \/>\n\\(\\sqrt [ 4 ]{ 36.2 } \\)<br \/>\nAnswer:<br \/>\n36.2 \u00f7 4<br \/>\n36 \u00f7 4 = <strong>9<br \/>\n<\/strong>Insert a zero in the dividend and continue to divide.<br \/>\n20 \u00f7 4 =<strong> 5<br \/>\n<\/strong>So, 36.2 \u00f7 4 = 9.05.<\/p>\n<p>Question 36.<br \/>\n\\(\\sqrt [ 4.8 ]{ 85.2 } \\)<br \/>\nAnswer:<br \/>\nMultiply 4.8 by a power of 10 to make it a whole number. Then multiply 85.2 by the same power of 10.<br \/>\n4.8 x 10 = 48<br \/>\n85.2 x 10 = 852<br \/>\n852 \u00f7 48<br \/>\n85 \u00f7 48 = <strong>1<\/strong> with remainder 37.<br \/>\n372 \u00f7 48 = <strong>7<\/strong> with remainder 36.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n360 \u00f7 48 = <strong>7<\/strong> with remainder 24.<br \/>\n240 \u00f7 48 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 85.2 \u00f7 4.8 = 17.75.<\/p>\n<p>Question 37.<br \/>\n\\(\\sqrt [ 12 ]{ 52.2 } \\)<br \/>\nAnswer:<br \/>\n52.2 \u00f7 12<br \/>\n52 \u00f7 12 = <strong>4<\/strong> with remainder 4.<br \/>\n42 \u00f7 12 = <strong>3<\/strong> with remainder 6.<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n60 \u00f7 12 = <strong>5<\/strong> with remainder 0.<br \/>\nSo, 52.2 \u00f7 12 = 4.35.<\/p>\n<p>Question 38.<br \/>\n5 \u00f7 0.8 = ______<br \/>\nAnswer:<br \/>\nMultiply 0.8 by a power of 10 to make it a whole number. Then multiply 5 by the same power of 10.<br \/>\n0.8 x 10 = 8<br \/>\n5 x 10 = 50<br \/>\n50 \u00f7 8<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>8 ) 50 ( 6.25<\/p>\n<p>48<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>20<\/p>\n<p>-16<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>40<\/p>\n<p>40<\/p>\n<p>&#8212;&#8212;&#8211;<\/p>\n<p>0<br \/>\nSo, 5 \u00f7 0.8 = 6.25<\/p>\n<p>Question 39.<br \/>\n23.7 \u00f7 6 = ______<br \/>\nAnswer:<br \/>\nInsert a zero in the dividend and continue to divide.<\/p>\n<p>6 ) 23.7 ( 3.95<\/p>\n<p>18<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>57<\/p>\n<p>&#8211; 54<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>30<\/p>\n<p>30<\/p>\n<p>&#8212;&#8212;&#8211;<\/p>\n<p>0<br \/>\n23.7 \u00f7 6 = 3.95<\/p>\n<p>Question 40.<br \/>\n138.4 \u00f7 16 = ______<br \/>\nAnswer:<br \/>\nInsert a zero in the dividend and continue to divide.<br \/>\n16 ) 138.4 ( 8.65<\/p>\n<p>128<\/p>\n<p>&#8212;&#8212;-<\/p>\n<p>104<\/p>\n<p>&#8211; 96<\/p>\n<p>&#8212;&#8212;&#8211;<\/p>\n<p>80<\/p>\n<p>80<\/p>\n<hr \/>\n<p><strong>7.9 Problem Solving: Decimal Operations<\/strong><\/p>\n<p>Question 41.<br \/>\nYou spend $28.08 on the fabric scissors, buttons, and two craft kits. The kits each cost the same amount. How much does ASSORTED $6.13 each kit cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16196\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-7-Divide-Decimals-chp-41.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 7 Divide Decimals chp 41\" width=\"294\" height=\"184\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nTotal amount spent = $28.08<br \/>\nFabric scissors cost = $6.13<br \/>\nButtons cost = $3.97<br \/>\nWrite and solve an equation to find the cost of each kit.<br \/>\ncost of each kit = (amount spend &#8211; fabric scissors cost &#8211; buttons cost) \u00f7 2<br \/>\n= (28.08 &#8211; 6.13 &#8211; 3.97) \u00f7 2<br \/>\n= 17.98 \u00f7 2<br \/>\n= 8.99<br \/>\nSo, cost of each craft kit = $8.99<\/p>\n<h3>Divide Decimals Cumulative Practice<\/h3>\n<p>Question 1.<br \/>\nWhich statement is true?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16197\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 1\" width=\"533\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-1.png 533w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-1-300x56.png 300w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><br \/>\nAnswer:<br \/>\nAccording to BODMAS rule,<br \/>\nStatement c is correct.<\/p>\n<p>Question 2.<br \/>\nYou round 23 \u00d7 84 and get an underestimate. How did you estimate?<br \/>\nA. 20 \u00d7 80<br \/>\nB. 30 \u00d7 90<br \/>\nC. 25 \u00d7 90<br \/>\nD. 25 \u00d7 90<br \/>\nAnswer:<br \/>\n23 \u00d7 84 round to 20 \u00d7 80 because it is closer to given equation.<br \/>\n84 is close to 80 and all the others options having number 90.<br \/>\nDifference between the numbers in remaining options is greater than the option A numbers.<\/p>\n<p>Question 3.<br \/>\nWhich expressions have a product that is shown?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16198\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 3\" width=\"595\" height=\"241\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-3.png 595w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-3-300x122.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><br \/>\nAnswer:<br \/>\nExcept option 1, remaining all the other options have the product(0.4) shown in the image.<\/p>\n<p>Question 4.<br \/>\nWhat number is \\(\\frac{1}{10}\\) of 800?<br \/>\nA. 0.8<br \/>\nB. 8<br \/>\nC. 80<br \/>\nD. 8,000<br \/>\nAnswer:<br \/>\n<img src=\"https:\/\/private.codecogs.com\/gif.latex?%5Cdpi%7B100%7D%20%5Csmall%20%5Cfrac%7B1%7D%7B10%7D\" alt=\"\\small \\frac{1}{10}\" \/> (800) = <strong>80<\/strong><\/p>\n<p>Question 5.<br \/>\nWhich number divided by 0.01 is 14 more than 37?<br \/>\nA. 0.51<br \/>\nB. 5.1<br \/>\nC. 51<br \/>\nD. 5,100<br \/>\nAnswer:<br \/>\n14 more than 37 = 37 + 14 = 51<br \/>\n51 x 0.01 = 0.51<br \/>\nSo, the answer is <strong>0.51<\/strong>.<\/p>\n<p>Question 6.<br \/>\nWhich expressions have a quotient of 40?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16199\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 6\" width=\"574\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-6.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-6-300x50.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><br \/>\nAnswer:<br \/>\n2800 \u00f7 70, 160 \u00f7 4, 3600 \u00f7 900 and 8000 \u00f7 200 have a quotient of 40.<\/p>\n<p>Question 7.<br \/>\nWhich equation is shown by the quick sketch?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16200\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 7\" width=\"490\" height=\"262\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-7.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-7-300x160.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nWhat is the value of k?<br \/>\n0.036 \u00d7 k = 36<br \/>\nA. 10<br \/>\nB. 10<sup>3<\/sup><br \/>\nC. 100<br \/>\nD. 36<br \/>\nAnswer:<br \/>\nk = 36 \u00f7 0.036<br \/>\nk = 1000 = 10<sup>3<\/sup><strong>(option B).<\/strong><\/p>\n<p>Question 9.<br \/>\nWhat is the quotient of 11.76 and 8?<br \/>\nA. 1.47<br \/>\nB. 1.97<br \/>\nC. 14.7<br \/>\nD. 94.08<br \/>\nAnswer:<br \/>\n11.76 \u00f7 8<br \/>\n11 \u00f7 8 = <strong>1<\/strong> with remainder 3.<br \/>\n37 \u00f7 8 = <strong>4<\/strong> with remainder 5.<br \/>\n56 \u00f7 8 = <strong>7<\/strong> with remainder 0.<br \/>\nSo, quotient of 11.76 and 8 = <strong>1.47(option A).<\/strong><\/p>\n<p>Question 10.<br \/>\nNewton wins a race by seven thousandths of a second. What is this number in standard form?<br \/>\n<strong>A. 0.007<\/strong><br \/>\nB. 0.07<br \/>\nC. 0.7<br \/>\nD. 7,00<br \/>\nAnswer:<br \/>\n0.007 is in standard form.<\/p>\n<p>Question 11.<br \/>\nEvaluate 30 &#8211; (9 + 6) \u00f7 3.<br \/>\nA. 5<br \/>\nB. 19<br \/>\nC. 9<br \/>\n<strong>D. 25<\/strong><br \/>\nAnswer:<br \/>\nAccording to BODMAS rule.<br \/>\n30 &#8211; (9 + 6) \u00f7 3<br \/>\n= 30 &#8211; (15 \u00f7 3)<br \/>\n= 30 &#8211; 5<br \/>\n= 25<\/p>\n<p>Question 12.<br \/>\nA food truck owner sells 237 gyros in 1 day. Each gyro costs $7.How much money does the owner collect in 1 day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16201\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-12.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 12\" width=\"195\" height=\"136\" \/><br \/>\nA. $659<br \/>\nB. $1,419<br \/>\n<strong>C. $1,659<\/strong><br \/>\nD. $11,249<br \/>\nAnswer:<br \/>\nEach gyro costs $7<br \/>\n237 gyros in 1 day cost = 237 x 7 = $1659<br \/>\nSo, the owner collects <strong>$1659<\/strong> in 1 day.<\/p>\n<p>Question 13.<br \/>\nWhat is the quotient of 4,521 and 3?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16202\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-13.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 13\" width=\"85\" height=\"67\" \/><br \/>\nAnswer:<br \/>\n4521 \u00f7 3 = 1507<br \/>\nSo, quotient of 4,521 and 3 is 1507.<\/p>\n<p>Question 14.<br \/>\nWhat is the value of b?<br \/>\n10<sup>4<\/sup> = 10<sup>b<\/sup> \u00d7 10<br \/>\n<strong>A. 3<\/strong><br \/>\nB. 4<br \/>\nC. 5<br \/>\nD. 10<br \/>\nAnswer:<br \/>\n10<sup>4<\/sup> = 10<sup>b<\/sup> \u00d7 10<br \/>\nIf b= 3,<br \/>\n10<sup>b<\/sup> \u00d7 10 = 10<sup>3<\/sup> \u00d7 10<br \/>\n= 10<sup>3+1<br \/>\n<\/sup>= 10<sup>4<br \/>\n<\/sup>So, b= 3.<\/p>\n<p>Question 15.<br \/>\nPart A What is the area of the sandbox?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16203\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-15.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 15\" width=\"632\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-15.png 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-15-300x49.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><br \/>\nPart B The playground committee wants to make the area of the sandbox 2 times the original area. What is the new area? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 16.<br \/>\nWhich expressions have a product of 1,200?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16204\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-16.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 16\" width=\"595\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-16.png 595w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-16-300x48.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><br \/>\nAnswer:<br \/>\n30 x 40, 12 x 10<sup>2 <\/sup>and 120 x 10 have a product of 1,200.<\/p>\n<p>Question 17.<br \/>\nA 5-day pass to a theme park costs $72.50. A 2-day pass to the same park costs $99.50. How much more does the 2-day pass cost each day than the 5-day pass each day?<br \/>\nA. $14.50<br \/>\n<strong>B. $35.25<\/strong><br \/>\nC. $49.75<br \/>\nD. $64.25<br \/>\nAnswer:<br \/>\n5-day pass costs each day = 72.5 \u00f7 5 = $14.5<br \/>\n2-day pass costs each day = 99.5 \u00f7 2 = $49.75<br \/>\n2-day pass cost each day <strong>$35.25<\/strong> more than the 5-day pass each day.<\/p>\n<p>Question 18.<br \/>\nWhich expressions have a quotient with the first digit in the tens place?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16205\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-18.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals cp 18\" width=\"450\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-18.png 450w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-cp-18-300x63.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><br \/>\nAnswer:<br \/>\n4,536 \u00f7 56 = 81<br \/>\n6,750 \u00f7 45 = 150<br \/>\n2,403 \u00f7 89 = 27<br \/>\n1,496 \u00f7 17 = 88<br \/>\nExcept option 2, all the other options have a quotient with the first digit in the tens place.<\/p>\n<h3>Divide Decimals STEAM Performance Task<\/h3>\n<p>You experiment with levers for your school\u2019s science fair.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16206\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 1\" width=\"280\" height=\"76\" \/><br \/>\nQuestion 1.<br \/>\nYou balance the seesaw lever by placing different weights on either side at different distances from the middle. You find the formula for balancing the seesaw lever is (left weight) \u00d7 (left distance) = (right weight) \u00d7 (right distance). You test the formula using various combinations of weights.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16207\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 2\" width=\"396\" height=\"226\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-2.png 396w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-2-300x171.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><br \/>\na. Use the formula to complete the table for the 2nd and 3rd attempts.<br \/>\nb. For your 4th attempt, you have up to 25 pounds in weights to place on each side of the lever. Choose a whole pound weight for the left side and balance the lever to complete the table.<br \/>\nc. The total length of your seesaw lever is 40 inches. Can you balance a 50-pound weight with a 1-pound weight? Explain.<br \/>\nd. For your science fair display, you balance the lever by placing another gram weight on the right side. Which gram weight should you use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16208\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 3\" width=\"610\" height=\"142\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-3.png 610w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-3-300x70.png 300w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><br \/>\ne. How can you apply what you learn from the science fair project to a playground?<br \/>\nAnswer:<\/p>\n<p>You help set up tables for the science fair. There are 93 science fair displays. You use the display boards to determine how many tables to use.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16209\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 4\" width=\"315\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-4.png 315w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-4-300x84.png 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><br \/>\nQuestion 2.<br \/>\nEach display board opens up to form three sides of a trapezoid as shown.<br \/>\na. How much room do you think each display board needs to open up? Explain.<br \/>\nb. You place the display boards next to each other on 12-foot long tables. How many display boards can you fit on one table?<br \/>\nc. You use one table for snacks and one table for award ribbons. What is the least number of tables you can use? Explain.<br \/>\nd. The diagram shows the room where the science fair is held. Each table for the science fair is 3 feet wide. Your teacher says the ends of the tables can touch to save space. Complete the diagram to arrange the tables so that visitors and judges can see each display board.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16210\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 5\" width=\"548\" height=\"222\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-5.png 548w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-5-300x122.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nUse the Internet or some other resource to learn about other types of science fair projects. Describe one interesting science fair project you want to complete.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16211\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-7-Divide-Decimals-spt-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals spt 6\" width=\"150\" height=\"153\" \/><br \/>\nAnswer:\u00a0 One of the interesting science fair project is :-<br \/>\n<strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 How To Make A Bottle Rocket<\/strong><br \/>\n<strong>-&gt;<\/strong> Did you know you can make and launch a water bottle rocket using a plastic bottle, water, cork,\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0needle adaptor and pump ?<br \/>\n<strong> How do water bottle rockets work?<\/strong><br \/>\nAs you pump air into the bottle the pressure inside the bottle builds up until the force of the air pushing on the water is enough to\u00a0 force the cork out of the end of the bottle. The water rushes out of the bottle in one direction whilst the bottle pushes back in the other. This results in the bottle shooting upwards.<br \/>\n<strong>\u00a0What you need to make a bottle rocket<br \/>\n<\/strong>\u00a0-&gt;\u00a0 An empty plastic bottle<br \/>\n-&gt;\u00a0 Cardboard made into a cone and 4 fins<br \/>\n-&gt;\u00a0 A cork<br \/>\n-&gt;\u00a0 A pump with a needle adaptor<br \/>\n-&gt;\u00a0 Water<br \/>\nYou can buy a kit with the parts apart from the pump and the bottle-please check the contents before buying.<br \/>\n<strong>Instructions &#8211; How to make a bottle rocket<br \/>\n<\/strong> Push the needle adaptor of the pump through the cork, it needs to go all the way through so you might have to trim the cork a little bit.<br \/>\n-&gt; Decorate the bottle with the cone and fins.<br \/>\n-&gt; Fill the bottle one quarter full of water and push the cork in tightly.<br \/>\n-&gt; Take the bottle outside and connect the pump to the needle adaptor. Ours wouldn&#8217;t stand up on the fins so we rested it on a box, but if you make some strong fins it should stand up by itself.<br \/>\n-&gt; Pump air into the bottle, making sure all spectators stand back, the bottle will lift off with force after a few seconds.<br \/>\n<strong>Why does the water bottle rocket launch?<\/strong><br \/>\nAs you pump air into the bottle pressure builds up inside. If you keep pumping, the force of the air pushing on the water eventually becomes strong enough to force the cork out of the bottle allowing water to rush out in one direction while the bottle pushes back in the other direction. This forces the rocket upwards.<br \/>\nSpace<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>I wish the information provided in the above article regarding Big Ideas Math Book 5th Grade Answer Key Chapter 7 Divide Decimals is helpful for you. For any queries, you can post the comments in the below section.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Download Big Ideas Math Answers Grade 5 Chapter 7 Divide Decimals PDF for free. Learn every topic of BIM Grade 5 Chapter 7 Divide Decimals Answers. Make use of our material and check out the step-by-step explanation to learn all the concepts easily. 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