{"id":4047,"date":"2022-03-28T12:07:31","date_gmt":"2022-03-28T06:37:31","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=4047"},"modified":"2022-04-07T12:24:33","modified_gmt":"2022-04-07T06:54:33","slug":"go-math-grade-5-answer-key-chapter-1-place-value-multiplication-and-expressions","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-1-place-value-multiplication-and-expressions\/","title":{"rendered":"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions"},"content":{"rendered":"<p>Help your kid be on the track and ensure him Math Proficiency with our Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions. Go Math Grade 5 Chapter 1 Place Value, Multiplication, and Expressions Answer Key enhances your subject knowledge. Use the Best resource Go Math Grade 5 Chapter 1 Answer Key and ace up your preparation. Try to solve as many problems as possible from the <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-5-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 5 Answer Key<\/a> and get to know the concepts behind them.<\/p>\n<h2>Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions<\/h2>\n<p>It&#8217;s really difficult to find Solutions for all the Problems in Go Math Grade 5 Chapter 1 all in one place. Now, you will no longer have such difficulties. We are providing Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions. Check out Step by Step Solutions provided for various lessons and the topics in it. Practice using the 3rd Grade Go Math Answer Key Ch 1 Place Value, Multiplication, and Expressions and score better grades in the exam.<\/p>\n<p><strong>Lesson 1: Investigate \u2022 Place Value and Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Place_Value_and_Patterns_-_Page_No._7\">Place Value and Patterns &#8211; Page No. 7<\/a><\/li>\n<li><a href=\"#Place_Value_and_Patterns_Lesson_Check_-_Page_No._8\">Place Value and Patterns Lesson Check &#8211; Page No. 8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Place Value of Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Place_Value_of_Whole_Numbers_-_Page_No._11\">Place Value of Whole Numbers &#8211; Page No. 11<\/a><\/li>\n<li><a href=\"#Place_Value_of_Whole_Numbers_Lesson_Check_-_Page_No._12\">Place Value of Whole Numbers Lesson Check &#8211; Page No. 12<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Algebra \u2022 Properties<\/strong><\/p>\n<ul>\n<li><a href=\"#Properties_-_Page_No._15\">Properties &#8211; Page No. 15<\/a><\/li>\n<li><a href=\"#Properties_Lesson_Check_-_Page_No._16\">Properties Lesson Check &#8211; Page No. 16<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Algebra \u2022 Powers of 10 and Exponents<\/strong><\/p>\n<ul>\n<li><a href=\"#Powers_of_10_and_Exponents_-_Page_No._18\">Powers of 10 and Exponents &#8211; Page No. 18<\/a><\/li>\n<li><a href=\"#Powers_of_10_and_Exponents_Lesson_Check_-_Page_No._19\">Powers of 10 and Exponents Lesson Check &#8211; Page No. 19<\/a><\/li>\n<li><a href=\"#UNLOCK_the_Problem_\u2013_Page_No._20\">UNLOCK the Problem \u2013 Page No. 20<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Algebra \u2022 Multiplication Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiplication_Patterns_-_Page_No._22\">Multiplication Patterns &#8211; Page No. 22<\/a><\/li>\n<li><a href=\"#Multiplication_Patterns_Lesson_Check_-_Page_No._23\">Multiplication Patterns Lesson Check &#8211; Page No. 23<\/a><\/li>\n<li><a href=\"#Multiplication_Patterns_Lesson_Check_1_-_Page_No._24\">Multiplication Patterns Lesson Check 1 &#8211; Page No. 24<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_-_Page_No._25\">Mid-Chapter Checkpoint &#8211; Page No. 25<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._26\">Mid-Chapter Checkpoint Lesson Check &#8211; Page No. 26<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Multiply by 1-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiply_by_1-Digit_Numbers_-_Page_No._29\">Multiply by 1-Digit Numbers &#8211; Page No. 29<\/a><\/li>\n<li><a href=\"#Multiply_by_1-Digit_Numbers_Lesson_Check-_Page_No._30\">Mult<\/a><a href=\"#Multiply_by_1-Digit_Numbers_Lesson_Check-_Page_No._30\">iply<\/a><a href=\"#Multiply_by_1-Digit_Numbers_Lesson_Check-_Page_No._30\"> by 1-Digit Numbers Lesson Check- Page No. 30<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Multiply by Multi-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiply_by_Multi-Digit_Numbers_-_Page_No._33\">Multiply by Multi-Digit Numbers &#8211; Page No. 33<\/a><\/li>\n<li><a href=\"#Multiply_by_Multi-Digit_Numbers_Lesson_Check_-_Page_No._34\">Multiply by Multi-Digit Numbers Lesson Check &#8211; Page No. 34<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8: Relate Multiplication to Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Relate_Multiplication_to_Division_\u2013_Page_No._37\">Relate Multiplication to Division \u2013 Page No. 37<\/a><\/li>\n<li><a href=\"#Relate_Multiplication_to_Division_Lesson_Check_\u2013_Page_No._38\">Relate Multiplication to Division Lesson Check \u2013 Page No. 38<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 9: Problem Solving \u2022 Multiplication and Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiplication_and_Division_-_Page_No._41\">Multiplication and Division &#8211; Page No. 41<\/a><\/li>\n<li><a href=\"#Multiplication_and_Division_Lesson_Check_-_Page_No._42\">Multiplication and Division Lesson Check &#8211; Page No. 42<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 10: Algebra \u2022 Numerical Expressions<\/strong><\/p>\n<ul>\n<li><a href=\"#Numerical_Expressions_-_Page_No._45\">Numerical Expressions &#8211; Page No. 45<\/a><\/li>\n<li><a href=\"#Numerical_Expressions_Lesson_Check_-_Page_No._46\">Numerical Expressions Lesson Check &#8211; Page No. 46<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 11: Algebra \u2022 Evaluate Numerical Expressions<\/strong><\/p>\n<ul>\n<li><a href=\"#Evaluate_Numerical_Expressions_-_Page_No._49\">Evaluate Numerical Expressions &#8211; Page No. 49<\/a><\/li>\n<li><a href=\"#Evaluate_Numerical_Expressions_Lesson_Check_-_Page_No._50\">Evaluate Numerical Expressions Lesson Check &#8211; Page No. 50<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 12: Algebra \u2022 Grouping Symbols<\/strong><\/p>\n<ul>\n<li><a href=\"#Grouping_Symbols_-_Page_No._53\">Grouping Symbols &#8211; Page No. 53<\/a><\/li>\n<li><a href=\"#Grouping_Symbols_Lesson_Check_-_Page_No._54\">Grouping Symbols Lesson Check &#8211; Page No. 54<\/a><\/li>\n<\/ul>\n<p><strong>Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Review\/Test_-_Page_No._55\">Review\/Test &#8211; Page No. 55<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._56\">Review\/Test &#8211; Page No. 56<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._57\">Review\/Test &#8211; Page No. 57<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._58\">Review\/Test &#8211; Page No. 58<\/a><\/li>\n<\/ul>\n<h3><a id=\"Place_Value_and_Patterns_-_Page_No._7\"><\/a>Place Value and Patterns &#8211; Share and Show &#8211; Page No. 7<\/h3>\n<p><strong>Complete the sentence.<\/strong><\/p>\n<p>Question 1.<br \/>\n500 is 10 times as much as ______<\/p>\n<p>Answer:<br \/>\n50<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n500 = 10S<br \/>\nS = 500\/10 = 50.<br \/>\n500 is 10 times as much as 50.<\/p>\n<p>Question 2.<br \/>\n20,000 is \\(\\frac{1}{10}\\) of ______<\/p>\n<p>Answer:<br \/>\n2,00,000<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n20,000 = \\(\\frac{1}{10}\\) S<br \/>\nS = 20,000 X 10 = 2,00,000<\/p>\n<p>Question 3.<br \/>\n900 is \\(\\frac{1}{10}\\) of ______<\/p>\n<p>Answer:<br \/>\n9,000<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n900 = \\(\\frac{1}{10}\\) S<br \/>\nS = 900 X 10 = 9,000<\/p>\n<p>Question 4.<br \/>\n600 is 10 times as much as ______<\/p>\n<p>Answer:<br \/>\n60<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n600 = 10S<br \/>\nS = 600\/10 = 60.<\/p>\n<p><strong>Use place-value patterns to complete the table<\/strong><\/p>\n<p>Question 5.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"174\">Numbers<\/td>\n<td style=\"text-align: center;\" width=\"174\">10 times as much as<\/td>\n<td style=\"text-align: center;\" width=\"189\">\\(\\frac{1}{10}\\) of<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">10<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">3,000<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">800<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">50<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Answer:<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"174\">Numbers<\/td>\n<td style=\"text-align: center;\" width=\"174\">10 times as much as<\/td>\n<td style=\"text-align: center;\" width=\"189\">\\(\\frac{1}{10}\\) of<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">10<\/td>\n<td width=\"174\">___1___<\/td>\n<td width=\"189\">___100___<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">3,000<\/td>\n<td width=\"174\">___300___<\/td>\n<td width=\"189\">___30,000___<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">800<\/td>\n<td width=\"174\">___80___<\/td>\n<td width=\"189\">___8,000___<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">50<\/td>\n<td width=\"174\">___5___<\/td>\n<td width=\"189\">___500___<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Explanation:<br \/>\n1. 10 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n10 = 10S<br \/>\nS = 10\/10 = 1.<br \/>\n10 is 10 times as much as 1.<br \/>\n10 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n10 = \\(\\frac{1}{10}\\) S<br \/>\nS = 10 X 10 = 100.<br \/>\n2. 3,000 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n3,000 = 10S<br \/>\nS = 3,000\/10 = 300.<br \/>\n3,000 is 10 times as much as 300.<br \/>\n3,000 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n3,000 = \\(\\frac{1}{10}\\) S<br \/>\nS = 3,000 X 10 = 30,000.<br \/>\n3. 800 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n800 = 10S<br \/>\nS = 800\/10 = 80.<br \/>\n800 is 10 times as much as 80.<br \/>\n800 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n800 = \\(\\frac{1}{10}\\) S<br \/>\nS = 800 X 10 = 8,000.<br \/>\n4. 50 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n50 = 10S<br \/>\nS = 50\/10 = 5.<br \/>\n50 is 10 times as much as 5.<br \/>\n50 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n50 = \\(\\frac{1}{10}\\) S<br \/>\nS = 50 X 10 = 500.<\/p>\n<p>Question 6.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"174\">Numbers<\/td>\n<td style=\"text-align: center;\" width=\"174\">10 times as much as<\/td>\n<td style=\"text-align: center;\" width=\"189\">\\(\\frac{1}{10}\\) of<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">400<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">90<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">6,000<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">200<\/td>\n<td width=\"174\">______<\/td>\n<td width=\"189\">______<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Answer:<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"174\">Numbers<\/td>\n<td style=\"text-align: center;\" width=\"174\">10 times as much as<\/td>\n<td style=\"text-align: center;\" width=\"189\">\\(\\frac{1}{10}\\) of<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">400<\/td>\n<td width=\"174\">__40____<\/td>\n<td width=\"189\">___4,000___<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">90<\/td>\n<td width=\"174\">___9___<\/td>\n<td width=\"189\">___900___<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">6,000<\/td>\n<td width=\"174\">__600____<\/td>\n<td width=\"189\">__60,000____<\/td>\n<\/tr>\n<tr>\n<td width=\"174\">200<\/td>\n<td width=\"174\">___20___<\/td>\n<td width=\"189\">___2,000___<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Explanation:<br \/>\n1. 400 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n400 = 10S<br \/>\nS = 400\/10 = 40.<br \/>\n400 is 10 times as much as 40.<br \/>\n400 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n400 = \\(\\frac{1}{10}\\) S<br \/>\nS = 400 X 10 = 4,000.<br \/>\n2. 90 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n90 = 10S<br \/>\nS = 90\/10 = 9.<br \/>\n90 is 10 times as much as 9.<br \/>\n90 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n90 = \\(\\frac{1}{10}\\) S<br \/>\nS = 90 X 10 = 900.<br \/>\n3. 6,000 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n6,000 = 10S<br \/>\nS = 6,000\/10 = 600.<br \/>\n6,000 is 10 times as much as 600.<br \/>\n6,000 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n6,000 = \\(\\frac{1}{10}\\) S<br \/>\nS = 6,000 X 10 = 60,000.<br \/>\n4. 200 is 10 times as much as ______<br \/>\nLet the unknown number is S.<br \/>\n200 = 10S<br \/>\nS = 200\/10 = 20.<br \/>\n200 is 10 times as much as 20.<br \/>\n200 is \\(\\frac{1}{10}\\) of ______<br \/>\nLet the unknown number is S.<br \/>\n200 = \\(\\frac{1}{10}\\) S<br \/>\nS = 200 X 10 = 2,000.<\/p>\n<p><strong>Complete the sentence with 100 or 1,000.<\/strong><\/p>\n<p>Question 13.<br \/>\n200 is ______ times as much as 2<\/p>\n<p>Answer:<br \/>\n200 is 100 times as much as 2<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n200 = 2S<br \/>\nS = 200\/2 = 100<\/p>\n<p>Question 14.<br \/>\n4,000 is ______ times as much as 4<\/p>\n<p>Answer:<br \/>\n4,000 is 1000 times as much as 4<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n4,000 = 2S<br \/>\nS = 4,000\/2 = 1,000<\/p>\n<p>Question 15.<br \/>\n700,000 is ______ times as much as 700<\/p>\n<p>Answer:<br \/>\n700,000 is 1,000 times as much as 700<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n700,000 = 700S<br \/>\nS = 700,000\/700 = 1,000<\/p>\n<p>Question 16.<br \/>\n600 is ______ times as much as 6<\/p>\n<p>Answer:<br \/>\n600 is 100 times as much as 6<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n600 = 6S<br \/>\nS = 600\/6= 100<\/p>\n<p>Question 17.<br \/>\n50,000 is ______ times as much as 500<\/p>\n<p>Answer:<br \/>\n50,000 is 100_ times as much as 500<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n50,000 = 500S<br \/>\nS = 50,000\/500= 100<\/p>\n<p>Question 18.<br \/>\n30,000 is ______ times as much as 30<\/p>\n<p>Answer:<br \/>\n30,000 is 1,000 times as much as 30<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n30,000 = 30S<br \/>\nS = 30,000\/30 = 1,000<\/p>\n<p>Question 19.<br \/>\nExplain how you can use place-value patterns to describe how 50 and 5,000 compare.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n5,000 is 100 times as much as 50<\/p>\n<p>Explanation:<br \/>\n5,000\/50 = 100<\/p>\n<h3><a id=\"Place_Value_and_Patterns_Lesson_Check_-_Page_No._8\"><\/a>Place Value and Patterns &#8211; Problem Solving &#8211; Page No. 8<\/h3>\n<p><strong>Sense or Nonsense?<\/strong><\/p>\n<p>Question 20.<br \/>\nMark and Robyn used base-ten blocks to show that 300 is 100 times as much as 3. Whose model makes sense? Whose model is nonsense? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Place Value and Patterns img 1\" width=\"715\" height=\"505\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nRobyn&#8217;s model makes sense. Because the given data 300 is 100 times as much as 3. It clearly states that there are 100 model-blocks and one model blocks should take to solve the problem.<\/p>\n<p>Question 20.<br \/>\nExplain how you would help Mark understand why he should have used small cubes instead of longs.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMark&#8217;s drew 100 model-blocks and 10 model-blocks which. To get 300 is 100 times as much as 3, he needs to do 300\/3 = 100 model blocks.<\/p>\n<h3><a id=\"Place_Value_of_Whole_Numbers_-_Page_No._11\"><\/a>Place Value of Whole Numbers &#8211; Share and Show &#8211; Page No. 11<\/h3>\n<p><strong>Complete the place-value chart to find the value of each digit.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-2.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Place Value of Whole Numbers img 2\" width=\"713\" height=\"209\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-1-300x147.jpg\" alt=\"Grade 5 Chapter 1 Image 1\" width=\"414\" height=\"203\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-1-300x147.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-1.jpg 653w\" sizes=\"(max-width: 414px) 100vw, 414px\" \/><br \/>\n7,333,820<\/p>\n<p>Explanation:<br \/>\n7 x 1,000,000 = 7,000,000<br \/>\n3 x 100,000 = 300,000<br \/>\n3 x 1,000 = 3000<br \/>\n8 x 100 = 800<br \/>\n2 x 10 = 20<\/p>\n<p><strong>Write the value of the underlined digit.<\/strong><\/p>\n<p>Question 2.<br \/>\n1,57<span style=\"text-decoration: underline;\">4<\/span>,833<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4,000<\/p>\n<p>Explanation:<br \/>\n(1 x 1,000,000) + (5 x 1,00,000) + (7 x 10,000) + (4 x 1,000) + (8 x 100) + (3 x 10) + (3 x 1)<br \/>\n4 x 1,000 = 4 thousands = 4,000<\/p>\n<p>Question 3.<br \/>\n598,<span style=\"text-decoration: underline;\">1<\/span>02<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n100<\/p>\n<p>Explanation:<br \/>\n(5 x 1,00,000) + (9 x 10,000) + (8 x 1,000) + (1 x 100) + (0 x 10) + (2 x 1)<br \/>\n1 x 100 = 4 hundreds = 100<\/p>\n<p>Question 4.<br \/>\n7,0<span style=\"text-decoration: underline;\">9<\/span>3,455<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n90,000<\/p>\n<p>Explanation:<br \/>\n(7 x 1,000,000) + (0 x 1,00,000) + (9 x 10,000) + (3 x 1,000) + (4 x 100) + (5 x 10) + (5 x 1)<br \/>\n9 x 10,000 = 9 ten-thousands = 90,000<\/p>\n<p>Question 5.<br \/>\n<span style=\"text-decoration: underline;\">3<\/span>01,256,878<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3,00,000,000<\/p>\n<p>Explanation:<br \/>\n(3 x 1,00,000,000) + (0 x 10,000,000) + (1 x 1,000,000) + (2 x 1,00,000) + (5 x 10,000) + (6 x 1,000) + (8 x 100) + (7 x 10) + (8 x 1)<br \/>\n3 x 1,00,000,000 = 3 hundred- millions = 3,00,000,000<\/p>\n<p><strong>Write the number in two other forms.<\/strong><\/p>\n<p>Question 6.<br \/>\n(8 \u00d7 100,000) + (4 \u00d7 1,000) + (6 \u00d7 1) =<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n80,4006<br \/>\nEight Hundred Four Thousand Six<\/p>\n<p>Explanation:<br \/>\n(8 \u00d7 100,000) + (4 \u00d7 1,000) + (6 \u00d7 1) = 800,000 + 4,000 + 6 = 80,4006<\/p>\n<p>Question 7.<br \/>\nseven million, twenty thousand, thirty-two<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n7,020,032<br \/>\nSeven Million Twenty Thousand Thirty-Two<\/p>\n<p>Explanation:<br \/>\nseven million = 7,000,000<br \/>\ntwenty thousand = 20,000<br \/>\nthirty-two = 32<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write the value of the underlined digit.<\/strong><\/p>\n<p>Question 8.<br \/>\n8<span style=\"text-decoration: underline;\">4<\/span>9,567,043<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n40,000,000<\/p>\n<p>Explanation:<br \/>\n(8 x 1,00,000,000) + (4 x 10,000,000) + (9 x 1,000,000) + (5 x 1,00,000) + (6 x 10,000) + (7 x 1,000) + (0 x 100) + (4 x 10) + (3 x 1)<br \/>\n4 x 10,000,000 = 4 ten- millions = 40,000,000<\/p>\n<p>Question 9.<br \/>\n9,<span style=\"text-decoration: underline;\">4<\/span>22,850<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4,00,000<\/p>\n<p>Explanation:<br \/>\n(9 x 1,000,000) + (4 x 1,00,000) + (2 x 10,000) + (2 x 1,000) + (8 x 100) + (5 x 10) + (0 x 1)<br \/>\n4 x 1,00,000 = 4 Hundred Thousand = 4,00,000<\/p>\n<p>Question 10.<br \/>\n<span style=\"text-decoration: underline;\">9<\/span>6,283<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n90,000<\/p>\n<p>Explanation:<br \/>\n(9 x 10,000) + (6 x 1,000) + (2 x 100) + (8 x 10) + (3 x 1)<br \/>\n9 x 10,000 = 9 ten-thousands = 90,000<\/p>\n<p>Question 11.<br \/>\n<span style=\"text-decoration: underline;\">4<\/span>98,354,021<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4,00,000,000<\/p>\n<p>Explanation:<br \/>\n(4 x 1,00,000,000) + (9 x 10,000,000) + (8 x 1,000,000) + (3 x 1,00,000) + (5 x 10,000) + (4 x 1,000) + (0 x 100) + (2 x 10) + (1 x 1)<br \/>\n4 x 1,00,000,000 = Four Hundred Million = 4,00,000,000<\/p>\n<p>Question 12.<br \/>\n791,<span style=\"text-decoration: underline;\">3<\/span>50<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n300<\/p>\n<p>Explanation:<br \/>\n(7 x 1,00,000) + (9 x 10,000) + (1 x 1,000) + (3 x 100) + (5 x 10) + (0 x 1)<br \/>\n3 x 100 = 3 hundred = 300<\/p>\n<p>Question 13.<br \/>\n2<span style=\"text-decoration: underline;\">7<\/span>,911,534<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n7,000,000<\/p>\n<p>Explanation:<br \/>\n(2 x 10,000,000) + (7 x 1,000,000) + (9 x 1,00,000) + (1 x 10,000) + (1 x 1,000) + (5 x 100) + (3 x 10) + (4 x 1)<br \/>\n7 x 1,000,000 = Seven Million = 7,000,000<\/p>\n<p>Question 14.<br \/>\n105,9<span style=\"text-decoration: underline;\">8<\/span>0,774<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n80,000<\/p>\n<p>Explanation:<br \/>\n(1 x 1,00,000,000) + (0 x 10,000,000) + (5 x 1,000,000) + (9 x 1,00,000) + (8 x 10,000) + (0 x 1,000) + (7 x 100) + (7 x 10) + (4 x 1)<br \/>\n8 x 10,000 = 8 ten-thousand = 80,000<\/p>\n<p>Question 15.<br \/>\n8,26<span style=\"text-decoration: underline;\">5<\/span>,178<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n5,000<\/p>\n<p>Explanation:<br \/>\n(8 x 1,000,000) + (2 x 1,00,000) + (6 x 10,000) + (5 x 1,000) + (1 x 100) + (7 x 10) + (8 x 1)<br \/>\n5 x 1,000 = 5 one-thousand = 5,000<\/p>\n<p><strong>Write the number in two other forms.<\/strong><\/p>\n<p>Question 16.<br \/>\n345,000<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThree Hundred Forty-Five Thousand<br \/>\n(3 x 1,00,000) + (4 x 10,000) + (5 x 1,000) + (0 x 100) + (0 x 10) + (0 x 1)<\/p>\n<p>Question 17.<br \/>\n119,000,003<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nOne Hundred Nineteen Million Three<br \/>\n(1 x 100,000,000) + (1 x 10,000,000) + (9 x 1,000,000) + (0 x 1,00,000) + (0 x 10,000) + (0 x 1,000) + (0 x 100) + (0 x 10) + (3 x 1)<\/p>\n<h3><a id=\"Place_Value_of_Whole_Numbers_Lesson_Check_-_Page_No._12\"><\/a>Place Value of Whole Numbers &#8211; Problem Solving &#8211; Page No. 12<\/h3>\n<p><strong>Use the table for 18\u201319.<\/strong><\/p>\n<p>Question 18.<br \/>\nWhich planet is about 10 times as far as Earth is from the Sun?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-3.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Place Value of Whole Numbers img 3\" width=\"418\" height=\"215\" \/><br \/>\n__________<\/p>\n<p>Answer:<br \/>\nSaturn<\/p>\n<p>Explanation:<br \/>\nSaturn = 1,427,000\/10 = 142,700 which is 10 times as far as Earth<\/p>\n<p>Question 19.<br \/>\nWhich planet is about \\(\\frac{1}{10}\\) of the distance Uranus is from the Sun?<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMars<\/p>\n<p>Explanation:<br \/>\nMars = 227,900<br \/>\n\\(\\frac{1}{10}\\) x 2,871,000 = 287,100<br \/>\nWhich planet is about \\(\\frac{1}{10}\\) of the distance Uranus is from the Sun<\/p>\n<p>Question 20.<br \/>\nWhat\u2019s the Error? Matt wrote the number four million, three hundred five thousand, seven hundred sixty-two as 4,350,762. Describe and correct his error.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMatt switched 2 digits in the thousands period: 4,305,762<\/p>\n<p>Question 21.<br \/>\nExplain how you know that the values of the digit 5 in the numbers 150,000 and 100,500 are not the same.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nIn 150,000, the digit 5 is in the ten-thousands place, So, its value is 50,000; in 100,500, the digit 5 is in the hundreds place. So, its value is 500.<\/p>\n<p>Question 22.<br \/>\nTest Prep In the number 869,653,214, which describes how the digit 6 in the ten-millions place compares to the digit 6 in the hundred-thousands place?<br \/>\nOptions:<br \/>\nA. 10 times as much as<br \/>\nB. 100 times as much as<br \/>\nC. 1,000 times as much as<br \/>\nD.\\(\\frac{1}{10}\\) of<\/p>\n<p>Answer:<br \/>\nB. 100 times as much as<\/p>\n<p>Explanation:<br \/>\n869,653,214<br \/>\n(8 x 100,000,000) + (6 x 10,000,000) + (9 x 1,000,000) + (6 x 1,00,000) + (5 x 10,000) + (3 x 1,000) + (2 x 100) + (1 x 10) + (4 x 1)<br \/>\n6 x 10,000,000 = 60,000,000<br \/>\n6 x 1,00,000 = 6,00,000<br \/>\n60,000,000\/6,00,000 = 100<\/p>\n<h3><a id=\"Properties_-_Page_No._15\"><\/a>Properties &#8211; Share and Show &#8211; Page No. 15<\/h3>\n<p><strong>Use properties to find 4 \u00d7 23 \u00d7 25.<\/strong><\/p>\n<p>Question 1.<br \/>\n23 \u00d7 \u00d7 25 ________ Property of Multiplication<br \/>\n23 \u00d7 ( \u00d7 ) ________ Property of Multiplication<br \/>\n23 \u00d7<br \/>\n__________<br \/>\n____<\/p>\n<p>Answer:<br \/>\n23 x 4 x 25; Commutative Property of Multiplication<br \/>\n23 x (4 x 25); Associative Property of Multiplication<br \/>\n23 x 100<br \/>\n2,300<\/p>\n<p><strong>Use properties to find the sum or product.<\/strong><\/p>\n<p>Question 2.<br \/>\n89 + 27 + 11 = ____<\/p>\n<p>Answer:<br \/>\n89 + (27 + 11); Associative Property of Addition<br \/>\n89 + 38<br \/>\n<span style=\"text-decoration: underline;\">127<\/span><\/p>\n<p>Question 3.<br \/>\n9 \u00d7 52 = ____<\/p>\n<p>Answer:<br \/>\n468<\/p>\n<p>Explanation:<br \/>\n9 x 52<br \/>\nWrite 52 = (50 + 2)<br \/>\n9 x (50 + 2)<br \/>\n(9 x 50) + (9 x 2); Distributive Property of Multiplication<br \/>\n450 + 18<br \/>\n468<\/p>\n<p>Question 4.<br \/>\n107 + 0 + 39 + 13 = ____<\/p>\n<p>Answer:<br \/>\n107 + 0 + 39 + 13<br \/>\n(107 + 0) + (39 + 13); Associative Property of Addition<br \/>\n107 + 0 = 107; Identity Property of Addition<br \/>\n107 + 52 = 159<\/p>\n<p><strong>Complete the equation, and tell which property you used.<\/strong><\/p>\n<p>Question 5.<br \/>\n9 \u00d7 (30 + 7) = (9 \u00d7 ____) + (9 \u00d7 7)<\/p>\n<p>Answer:<br \/>\n9 \u00d7 (30 + 7) = (9 \u00d730) + (9 \u00d7 7)<br \/>\nDistributive Property of Multiplication<\/p>\n<p>Explanation:<br \/>\n9 x (30 + 7)<br \/>\n(9 x 30) + (9 x 7); Distributive Property of Multiplication<br \/>\n270 + 63 = 333<\/p>\n<p>Question 6.<br \/>\n0 + ____ = 47<\/p>\n<p>Answer:<br \/>\n47; Identity Property of Addition<\/p>\n<p>Explanation:<br \/>\n0 + 47 = 47; Identity Property of Addition<\/p>\n<p>Question 6.<br \/>\nDescribe how you can use properties to solve problems more easily.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nUsing Properties of Addition and Properties of Multiplication, we can solve problems more easily. Simplifying problems is easy with the properties.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Practice: Copy and Solve Use properties to find the sum or product.<\/strong><\/p>\n<p>Question 7.<br \/>\n3 \u00d7 78 = ____<\/p>\n<p>Answer:<br \/>\n234, Associative Property of Multiplication<\/p>\n<p>Explanation:<br \/>\nWrite 78 as 6 x 13<br \/>\n3 x 6 x 13<br \/>\n(3 x 6) x 13; Associative Property of Multiplication<br \/>\n18 x 13 = 234<\/p>\n<p>Question 8.<br \/>\n4 \u00d7 60 \u00d7 5 = ____<\/p>\n<p>Answer:<br \/>\n1,200; Associative Property of Multiplication<\/p>\n<p>Explanation:<br \/>\n4 x 60 x 5<br \/>\n4 x (60 x 5); Associative Property of Multiplication<br \/>\n4 x 300 = 1,200<\/p>\n<p>Question 9.<br \/>\n21 + 25 + 39 + 5 = ____<\/p>\n<p>Answer:<br \/>\n90; Associative Property of Addition<\/p>\n<p>Explanation:<br \/>\n(21 + 25) + (39 + 5); Associative Property of Addition<br \/>\n46 + 44 = 90<\/p>\n<p><strong>Complete the equation, and tell which property you used.<\/strong><\/p>\n<p>Question 10.<br \/>\n11 + (19 + 6) = (11 + ____) + 6<\/p>\n<p>Answer:<br \/>\n11 + (19 + 6) = (11 + 19) + 6; Associative Property of Addition<\/p>\n<p>Question 11.<br \/>\n25 + 14 = ____ + 25<\/p>\n<p>Answer:<br \/>\n25 + 14 = 14 + 25; Commutative Property of Addition<\/p>\n<p>Question 12.<br \/>\nShow how you can use the Distributive Property to rewrite and find (32 \u00d7 6) + (32 \u00d7 4).<br \/>\n____<\/p>\n<p>Answer:<br \/>\n(32 \u00d7 6) + (32 \u00d7 4) = 32 x (6 + 4); Distributive Property<\/p>\n<h3><a id=\"Properties_Lesson_Check_-_Page_No._16\"><\/a>Properties &#8211; Problem Solving &#8211; Page No. 16<\/h3>\n<p>Question 13.<br \/>\nThree friends\u2019 meals at a restaurant cost $13, $14, and $11. Use parentheses to write two different expressions to show how much the friends spent in all. Which property does your pair of expressions demonstrate?<br \/>\n$ ____<\/p>\n<p>Answer:<br \/>\n$38; Associative Law of Addition<\/p>\n<p>Explanation:<br \/>\nThree friends\u2019 meals at a restaurant cost $13, $14, and $11.<br \/>\nFriends spent in all = $13 + $14 + $11<br \/>\n$13 + ($14 + $11) = ($13 + $14) + $11 Associative Law of Addition<\/p>\n<p>Question 14.<br \/>\nJacob is designing an aquarium for a doctor\u2019s office. He plans to buy 6 red blond guppies, 1 blue neon guppy, and 1 yellow guppy. The table shows the price list for the guppies. How much will the guppies for the aquarium cost?<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-4.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Properties img 4\" width=\"513\" height=\"538\" \/><br \/>\n$ ____<\/p>\n<p>Answer:<br \/>\n$162<\/p>\n<p>Explanation:<br \/>\nJacob is designing an aquarium for a doctor\u2019s office. He plans to buy 6 red blond guppies, 1 blue neon guppy, and 1 yellow guppy.<br \/>\n(6 x $22) + (1 x $11) + (1 x $19) = $132 + $11 + $19 = $162<\/p>\n<p>Question 15.<br \/>\nSylvia bought 8 tickets to a concert. Each ticket costs $18. To find the total cost in dollars, she added the product 8 \u00d7 10 to the product 8 \u00d7 8, for a total of 144. Which property did Sylvia use?<br \/>\ni. Distributive Property<br \/>\nii. Associative Property<\/p>\n<p>Answer:<br \/>\ni. Distributive Property<\/p>\n<p>Explanation:<br \/>\nSylvia bought 8 tickets to a concert. Each ticket costs $18.<br \/>\nTo find the total cost in dollars = 8 x $18<br \/>\nUsing Distributive Property<br \/>\n(8 \u00d7 10) + (8 \u00d7 8) = 8 x (10 + 8) = 144.<\/p>\n<p>Question 16.<br \/>\nSense or Nonsense? Julie wrote (15 &#8211; 6) &#8211; 3 = 15 &#8211; (6 &#8211; 3). Is Julie\u2019s equation sense or nonsense? Do you think the Associative Property works for subtraction? Explain.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nNonsense;<br \/>\n(15 &#8211; 6) &#8211; 3 = 9 &#8211; 3 = 6.<br \/>\n15 &#8211; (6 &#8211; 3) = 15 &#8211; 3 = 12<br \/>\n6 not equal to 12.<br \/>\nSo, Associative Property does not work for subtraction<\/p>\n<p>Question 17.<br \/>\nTest Prep Canoes rent for $29 per day. Which expression can be used to find the cost in dollars of renting 6 canoes for a day?<br \/>\nOptions:<br \/>\nA. (6 + 20) + (6 + 9)<br \/>\nB. (6 \u00d7 20) + (6 \u00d7 9)<br \/>\nC. (6 + 20) \u00d7 (6 + 9)<br \/>\nD. (6 \u00d7 20) \u00d7 (6 \u00d7 9)<\/p>\n<p>Answer:<br \/>\nB. (6 \u00d7 20) + (6 \u00d7 9)<\/p>\n<p>Explanation:<br \/>\nCanoes rent for $29 per day. For renting 6 canoes for a day, 6 x $29<br \/>\n6 x $(20 + 9) = (6 x 20) + (6 x 9)<\/p>\n<h3><a id=\"Powers_of_10_and_Exponents_-_Page_No._18\"><\/a>Powers of 10 and Exponents &#8211; Share and Show &#8211; Page No. 18<\/h3>\n<p><strong>Write in exponent form and word form.<\/strong><\/p>\n<p>Question 1.<br \/>\n10 \u00d7 10<br \/>\nExponent form:<br \/>\nWord form:<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nExponent form: 10<sup>2<\/sup><br \/>\nWord form: the second power of ten<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 10<br \/>\nBase = 10;<br \/>\nExponent = 2;<br \/>\nExponent Form: 10<sup>2<\/sup><br \/>\nWord Form: the second power of ten<\/p>\n<p>Question 2.<br \/>\n10 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\nExponent form:<br \/>\nWord form:<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nExponent Form: 10<sup>4<\/sup><br \/>\nWord Form: the fourth power of ten<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\nBase = 10;<br \/>\nExponent = 4;<br \/>\nExponent Form: 10<sup>4<\/sup><br \/>\nWord Form: the fourth power of ten<\/p>\n<p><strong>Find the value.<\/strong><\/p>\n<p>Question 3.<br \/>\n10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n100<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<\/p>\n<p>Question 4.<br \/>\n4 \u00d7 10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n400<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 10<sup>2<\/sup> =<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n4 x 100 = 400<\/p>\n<p>Question 5.<br \/>\n7 \u00d7 10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n700<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 10<sup>2<\/sup> =<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n7 x 100 = 700<\/p>\n<h3><a id=\"Powers_of_10_and_Exponents_Lesson_Check_-_Page_No._19\"><\/a>Powers of 10 and Exponents &#8211; On Your Own &#8211; Page No. 19<\/h3>\n<p><strong>Write in exponent form and word form.<\/strong><\/p>\n<p>Question 6.<br \/>\n10 \u00d7 10 \u00d7 10<br \/>\nexponent form:<br \/>\nword form:<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nExponent form: 10<sup>3<\/sup><br \/>\nWord form: the third power of ten<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 10 \u00d7 10<br \/>\nBase = 10;<br \/>\nExponent = 3;<br \/>\nExponent Form: 10<sup>3<\/sup><br \/>\nWord Form: the third power of ten<\/p>\n<p>Question 7.<br \/>\n10 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\nexponent form:<br \/>\nword form:<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nExponent form: 10<sup>5<\/sup><br \/>\nWord form: the fifth power of ten<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\nBase = 10;<br \/>\nExponent = 5;<br \/>\nExponent Form: 10<sup>5<\/sup><br \/>\nWord Form: the fifth power of ten<\/p>\n<p><strong>Find the value.<\/strong><\/p>\n<p>Question 8.<br \/>\n10<sup>4<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n10,000<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<\/p>\n<p>Question 9.<br \/>\n2 \u00d7 10<sup>3<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n2,000<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 10<sup>3<\/sup> =<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n2 x 1,000 = 2,000<\/p>\n<p>Question 10.<br \/>\n6 \u00d7 10<sup>4<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n60,000<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 10<sup>4<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n6 x 10,000 = 60,000<\/p>\n<p><strong>Complete the pattern.<\/strong><\/p>\n<p>Question 11.<br \/>\n7 \u00d7 10<sup>0<\/sup> = 7 \u00d7 1 = _______<br \/>\n7 \u00d7 10<sup>1<\/sup> = 7 \u00d7 10 = _______<br \/>\n7 \u00d7 10<sup>2<\/sup> = 7 \u00d7 10 \u00d7 10 = _______<br \/>\n7 \u00d7 10<sup>3<\/sup> = 7 \u00d7 10 \u00d7 10 \u00d7 10 = _______<br \/>\n7 \u00d7 10<sup>4<\/sup> = 7 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10 = _______<\/p>\n<p>Answer:<br \/>\n7 \u00d7 10<sup>0<\/sup> = 7 \u00d7 1 = 7<br \/>\n7 \u00d7 10<sup>1<\/sup> = 7 \u00d7 10 = 70<br \/>\n7 \u00d7 10<sup>2<\/sup> = 7 \u00d7 10 \u00d7 10 = 7 x 100 = 700<br \/>\n7 \u00d7 10<sup>3<\/sup> = 7 \u00d7 10 \u00d7 10 \u00d7 10 = 7 x 1,000 = 7,000<br \/>\n7 \u00d7 10<sup>4<\/sup> = 7 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10 = 7 x 10,000 = 70,000<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<\/p>\n<p>Question 12.<br \/>\n9 \u00d7 10<sup>0<\/sup> = _______ = 9<br \/>\n9 \u00d7 10<sup>1<\/sup> = _______ = 90<br \/>\n9 \u00d7 10<sup>2<\/sup> = _______ = 900<br \/>\n9 \u00d7 10<sup>3<\/sup> = _______ = 9,000<br \/>\n9 \u00d7 10<sup>4<\/sup> = _______ = 90,000<\/p>\n<p>Answer:<br \/>\n9 \u00d7 10<sup>0<\/sup> = 9 x 1 = 9<br \/>\n9 \u00d7 10<sup>1<\/sup> = 9 x 10 = 90<br \/>\n9 \u00d7 10<sup>2<\/sup> = 9 x 10 x 10 = 900<br \/>\n9 \u00d7 10<sup>3<\/sup> = 9 x 10 x 10 x 10= 9,000<br \/>\n9 \u00d7 10<sup>4<\/sup> = 9 x 10 x 10 x 10 x 10 = 90,000<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<\/p>\n<p>Question 13.<br \/>\n12 \u00d7 10<sup>0<\/sup> = 12 \u00d7 1 = _______<br \/>\n12 \u00d7 10<sup>1<\/sup> = 12 \u00d7 10 = _______<br \/>\n12 \u00d7 10<sup>2<\/sup> = 12 \u00d7 10 \u00d7 10 = _______<br \/>\n12 \u00d7 10<sup>3<\/sup> = 12 \u00d7 10 \u00d7 10 \u00d7 10 _______<br \/>\n12 \u00d7 10<sup>4<\/sup> = 12 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10 _______<\/p>\n<p>Answer:<br \/>\n12 \u00d7 10<sup>0<\/sup> = 12 \u00d7 1 = 12<br \/>\n12 \u00d7 10<sup>1<\/sup> = 12 \u00d7 10 = 120<br \/>\n12 \u00d7 10<sup>2<\/sup> = 12 \u00d7 10 \u00d7 10 = 1,200<br \/>\n12 \u00d7 10<sup>3<\/sup> = 12 \u00d7 10 \u00d7 10 \u00d7 10 = 12,000<br \/>\n12 \u00d7 10<sup>4<\/sup> = 12 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10 = 120,000<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<\/p>\n<p>Question 14.<br \/>\n10<sup>3<\/sup> = 10 \u00d7 10<sup>n<\/sup> What is the value of n?<br \/>\nThink: 10<sup>3<\/sup> = 10 \u00d7 () \u00d7 (), or 10 \u00d7 ()<br \/>\nThe value of n is &#8230;&#8230;..<br \/>\nn = ______<\/p>\n<p>Answer:<br \/>\n2<\/p>\n<p>Explanation:<br \/>\n10<sup>3<\/sup> = 10 \u00d7 10<sup>n<\/sup><br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 10 x 10<sup>2<\/sup><br \/>\nThe value of n is 2<\/p>\n<p>Question 15.<br \/>\nExplain how to write 50,000 using exponents.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n5 x 10<sup>4<\/sup><\/p>\n<p>Explanation:<br \/>\n5 x 10,000<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n10,000 = 10 x 10 x 10 x 10 = 10<sup>4<br \/>\n<\/sup>5 x 10<sup>4<\/sup><\/p>\n<h3><a id=\"UNLOCK_the_Problem_\u2013_Page_No._20\"><\/a>Powers of 10 and Exponents &#8211; UNLOCK the Problem &#8211; Page No. 20<\/h3>\n<p>Question 16.<br \/>\nLake Superior is the largest of the Great Lakes. It covers a surface area of about 30,000 square miles. How can you show the estimated area of Lake Superior as a whole number multiplied by a power of ten?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-5.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Powers of 10 and Exponents img 5\" width=\"377\" height=\"250\" \/><br \/>\na. What are you asked to find?<br \/>\nOptions:<br \/>\nA. 3 \u00d7 10<sup>2<\/sup> sq mi<br \/>\nB. 3 \u00d7 10<sup>3<\/sup> sq mi<br \/>\nC. 3 \u00d7 10<sup>4<\/sup> sq mi<br \/>\nD. 3 \u00d7 10<sup>5<\/sup> sq mi<\/p>\n<p>Answer:<br \/>\nC. 3 \u00d7 10<sup>4<\/sup> sq mi<\/p>\n<p>Explanation:<br \/>\nLake Superior is the largest of the Great Lakes. It covers a surface area of about 30,000 square miles.<br \/>\n3 x 10,000<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n10,000 = 10 x 10 x 10 x 10 = 10<sup>4<br \/>\n<\/sup>3 x 10<sup>4<\/sup><\/p>\n<p>Question 16.<br \/>\nb. How can you use a pattern to find the answer?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 x 10,000<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n10,000 = 10 x 10 x 10 x 10 = 10<sup>4<br \/>\n<\/sup>3 x 10<sup>4<\/sup><\/p>\n<p>Question 16.<br \/>\nc. Write a pattern using the whole number 3 and powers of ten.<br \/>\n3 \u00d7 10<sup>1<\/sup> = 3 \u00d7 10\u00a0 \u00a0=<br \/>\n3 \u00d7 10<sup>2<\/sup> =\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 =<br \/>\n3 \u00d7 10<sup>3<\/sup> =\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 =<br \/>\n3 \u00d7 10<sup>4<\/sup> =\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 =<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 \u00d7 10<sup>1<\/sup> = 3 \u00d7 10\u00a0 \u00a0=<br \/>\n3 \u00d7 10<sup>2<\/sup> = 3 x 10 x 10 = 300<br \/>\n3 \u00d7 10<sup>3<\/sup> = 3 x 10 x 10 x 10 = 3,000<br \/>\n3 \u00d7 10<sup>4<\/sup> = 3 x 10 x 10 x 10 x 10 = 30,000<\/p>\n<p>Question 16.<br \/>\nd. Fill in the correct answer choice above.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 \u00d7 10<sup>4<\/sup> = 3 x 10 x 10 x 10 x 10 = 30,000<\/p>\n<p>Question 17.<br \/>\nThe Earth\u2019s diameter through the equator is about 8,000 miles. What is the Earth\u2019s estimated diameter written as a whole number multiplied by a power of ten?<br \/>\nOptions:<br \/>\nA. 8 \u00d7 10<sup>1<\/sup> miles<br \/>\nB. 8 \u00d7 10<sup>2<\/sup> miles<br \/>\nC. 8 \u00d7 10<sup>3<\/sup> miles<br \/>\nD. 8 \u00d7 10<sup>4<\/sup> miles<\/p>\n<p>Answer:<br \/>\nC. 8 \u00d7 10<sup>3<\/sup> miles<\/p>\n<p>Explanation:<br \/>\nThe Earth\u2019s diameter through the equator is about 8,000 miles.<br \/>\n8 x 1,000<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n1,000 = 10 x 10 x 10<br \/>\n8 x 1,000 = 8 x 10<sup>3<\/sup><\/p>\n<p>Question 18.<br \/>\nThe Earth\u2019s circumference around the equator is about 25 \u00d7 10<sup>3<\/sup> miles. What is the Earth\u2019s estimated circumference written as a whole number?<br \/>\nOptions:<br \/>\nA. 250,000 miles<br \/>\nB. 25,000 miles<br \/>\nC. 2,500 miles<br \/>\nD. 250 miles<\/p>\n<p>Answer:<br \/>\nB. 25,000 miles<\/p>\n<p>Explanation:<br \/>\nThe Earth\u2019s circumference around the equator is about 25 \u00d7 10<sup>3<\/sup> miles.<br \/>\n25 \u00d7 10<sup>3<\/sup> miles;<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n25 x 1,000 = 25,000 miles<\/p>\n<h3><a id=\"Multiplication_Patterns_-_Page_No._22\"><\/a>Multiplication Patterns &#8211; Share and Show &#8211; Page No. 22<\/h3>\n<p><strong>Use mental math and a pattern to find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n\u2022 What basic fact can you use to help you find 30\u00d74,000?<br \/>\n30 \u00d7 4,000 = ____<\/p>\n<p>Answer:<br \/>\n3 x 4 = 12<\/p>\n<p>Explanation:<br \/>\n30 \u00d7 4,000<br \/>\nThe basic fact is 3 x 4 = 12<\/p>\n<p><strong>Use mental math to complete the pattern.<\/strong><\/p>\n<p>Question 2.<br \/>\n1 \u00d7 1 = 1<br \/>\n1 \u00d7 10<sup>1<\/sup> = _______<br \/>\n1 \u00d7 10<sup>2<\/sup> = _______<br \/>\n1 \u00d7 10<sup>3<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n1 \u00d7 1 = 1<br \/>\n1 \u00d7 10<sup>1<\/sup> = 10<br \/>\n1 \u00d7 10<sup>2<\/sup> = 100<br \/>\n1 \u00d7 10<sup>3<\/sup> = 1,000<\/p>\n<p>Explanation:<br \/>\n1 \u00d7 1 = 1<br \/>\n1 \u00d7 10<sup>1<\/sup> = 1 x 10 = 10<br \/>\n1 \u00d7 10<sup>2<\/sup> = 1 x 10 x 10 = 100<br \/>\n1 \u00d7 10<sup>3<\/sup> = 1 x 10 x 10 x 10 = 1,000<\/p>\n<p>Question 3.<br \/>\n7 \u00d7 8 = 56<br \/>\n(7 \u00d7 8) \u00d7 10<sup>1<\/sup> = _______<br \/>\n(7 \u00d7 8) \u00d7 10<sup>2<\/sup> = _______<br \/>\n(7 \u00d7 8) \u00d7 10<sup>6<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n7 \u00d7 8 = 56<br \/>\n(7 \u00d7 8) \u00d7 10<sup>1<\/sup> = 560<br \/>\n(7 \u00d7 8) \u00d7 10<sup>2<\/sup> = 5,600<br \/>\n(7 \u00d7 8) \u00d7 10<sup>6<\/sup> = 56,000,000<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 8 = 56<br \/>\n(7 \u00d7 8) \u00d7 10<sup>1<\/sup> = 56 x 10 = 560<br \/>\n(7 \u00d7 8) \u00d7 10<sup>2<\/sup> = 56 x 10 x 10 = 5,600<br \/>\n(7 \u00d7 8) \u00d7 10<sup>6<\/sup> = 56 x 10 x 10 x 10 x 10 x 10 x 10 = 56,000,000<\/p>\n<p>Question 4.<br \/>\n6 \u00d7 5 = _______<br \/>\n6 \u00d7 5 \u00d7 _______ = 300<br \/>\n6 \u00d7 5 \u00d7 _______ = 3000<br \/>\n6 \u00d7 5 \u00d7 _______ = 30,000<\/p>\n<p>Answer:<br \/>\n6 \u00d7 5 = 30<br \/>\n6 \u00d7 5 \u00d7 10<sup>1<\/sup> = 300<br \/>\n6 \u00d7 5 \u00d7 10<sup>3<\/sup>\u00a0= 3000<br \/>\n6 \u00d7 5 \u00d7 10<sup>4<\/sup> = 30,000<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 5 = 30<br \/>\n6 \u00d7 5 \u00d7 10 = 300<br \/>\n6 \u00d7 5 \u00d7 10 x 10 x 10 = 3000<br \/>\n6 \u00d7 5 \u00d7 10 x 10 x 10 x 10 = 30,000<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Use mental math to complete the pattern.<\/strong><\/p>\n<p>Question 5.<br \/>\n9 \u00d7 5 = 45<br \/>\n(9 \u00d7 5) \u00d7 10<sup>1<\/sup> = _______<br \/>\n(9 \u00d7 5) \u00d7 10<sup>2<\/sup> = _______<br \/>\n(9 \u00d7 5) \u00d7 10<sup>3<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n9 \u00d7 5 = 45<br \/>\n(9 \u00d7 5) \u00d7 10<sup>1<\/sup> = 450<br \/>\n(9 \u00d7 5) \u00d7 10<sup>2<\/sup> = 4,500<br \/>\n(9 \u00d7 5) \u00d7 10<sup>3<\/sup> = 45,000<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 5 = 45<br \/>\n(9 \u00d7 5) \u00d7 10<sup>1<\/sup> = 45 x 10 = 450<br \/>\n(9 \u00d7 5) \u00d7 10<sup>2<\/sup> = 45 x 10 x 10 = 4,500<br \/>\n(9 \u00d7 5) \u00d7 10<sup>3<\/sup> = 45 x 10 x 10 x 10 = 45,000<\/p>\n<p>Question 6.<br \/>\n3 \u00d7 7 = 21<br \/>\n(3 \u00d7 7) \u00d7 10<sup>1<\/sup> = _______<br \/>\n(3 \u00d7 7) \u00d7 10<sup>2<\/sup> = _______<br \/>\n(3 \u00d7 7) \u00d7 10<sup>3<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n3 \u00d7 7 = 21<br \/>\n(3 \u00d7 7) \u00d7 10<sup>1<\/sup> = 210<br \/>\n(3 \u00d7 7) \u00d7 10<sup>2<\/sup> = 2,100<br \/>\n(3 \u00d7 7) \u00d7 10<sup>3<\/sup> = 21,000<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 7 = 21<br \/>\n(3 \u00d7 7) \u00d7 10<sup>1<\/sup> = 21 x 10 = 210<br \/>\n(3 \u00d7 7) \u00d7 10<sup>2<\/sup> = 21 x 10 x 10 = 2,100<br \/>\n(3 \u00d7 7) \u00d7 10<sup>3<\/sup> = 21 x 10 x 10 x 10 = 21,000<\/p>\n<p>Question 7.<br \/>\n5 \u00d7 4 = _______<br \/>\n(5 \u00d7 4) \u00d7 _______ = 200<br \/>\n(5 \u00d7 4) \u00d7 _______ = 2,000<br \/>\n(5 \u00d7 4) \u00d7 _______ = 20,000<\/p>\n<p>Answer:<br \/>\n5 \u00d7 4 = 20<br \/>\n(5 \u00d7 4) \u00d7 10<sup>1<\/sup> = 200<br \/>\n(5 \u00d7 4) \u00d7 10<sup>2<\/sup> = 2,000<br \/>\n(5 \u00d7 4) \u00d7 10<sup>3<\/sup> = 20,000<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 4 = 20<br \/>\n(5 \u00d7 4) \u00d7 10 = 200<br \/>\n(5 \u00d7 4) \u00d7 10 x 10 = 2,000<br \/>\n(5 \u00d7 4) \u00d7 10 x 10 x 10 = 20,000<\/p>\n<p>Question 8.<br \/>\n5 \u00d7 7 = _______<br \/>\n(5 \u00d7 7) \u00d7 _______ = 350<br \/>\n(5 \u00d7 7) \u00d7 _______ = 3,500<br \/>\n(5 \u00d7 7) \u00d7 _______ = 35,000<\/p>\n<p>Answer:<br \/>\n5 \u00d7 7 = 35<br \/>\n(5 \u00d7 7) \u00d7 10<sup>1<\/sup> = 350<br \/>\n(5 \u00d7 7) \u00d7 10<sup>2<\/sup> = 3,500<br \/>\n(5 \u00d7 7) \u00d7 10<sup>3<\/sup> = 35,000<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 7 = 35<br \/>\n(5 \u00d7 7) \u00d7 10 = 350<br \/>\n(5 \u00d7 7) \u00d7 10 x 10 = 3,500<br \/>\n(5 \u00d7 7) \u00d7 10 x 10 x 10 = 35,000<\/p>\n<p>Question 9.<br \/>\n4 \u00d7 2 = 8<br \/>\n(4 \u00d7 2) \u00d7 10<sup>1<\/sup> = _______<br \/>\n(4 \u00d7 2) \u00d7 10<sup>2<\/sup> = _______<br \/>\n(4 \u00d7 2) \u00d7 10<sup>3<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n4 \u00d7 2 = 8<br \/>\n(4 \u00d7 2) \u00d7 10<sup>1<\/sup> = 80<br \/>\n(4 \u00d7 2) \u00d7 10<sup>2<\/sup> = 800<br \/>\n(4 \u00d7 2) \u00d7 10<sup>3<\/sup> = 8,000<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 2 = 8<br \/>\n(4 \u00d7 2) \u00d7 10<sup>1<\/sup> = 8 x 10 = 80<br \/>\n(4 \u00d7 2) \u00d7 10<sup>2<\/sup> = 8 x 10 x 10 = 800<br \/>\n(4 \u00d7 2) \u00d7 10<sup>3<\/sup> = 8 x 10 x 10 x 10 = 8,000<\/p>\n<p>Question 10.<br \/>\n6 \u00d7 7 = 42<br \/>\n(6 \u00d7 7) \u00d7 10<sup>1<\/sup> = _______<br \/>\n(6 \u00d7 7) \u00d7 10<sup>2<\/sup> = _______<br \/>\n(6 \u00d7 7) \u00d7 10<sup>3<\/sup> = _______<\/p>\n<p>Answer:<br \/>\n6 \u00d7 7 = 42<br \/>\n(6 \u00d7 7) \u00d7 10<sup>1<\/sup> = 420<br \/>\n(6 \u00d7 7) \u00d7 10<sup>2<\/sup> = 4,200<br \/>\n(6 \u00d7 7) \u00d7 10<sup>3<\/sup> = 42,000<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 7 = 42<br \/>\n(6 \u00d7 7) \u00d7 10<sup>1<\/sup> = 42 x 10 = 420<br \/>\n(6 \u00d7 7) \u00d7 10<sup>2<\/sup> = 42 x 10 x 10 = 4,200<br \/>\n(6 \u00d7 7) \u00d7 10<sup>3<\/sup> = 42 x 10 x 10 x 10 = 42,000<\/p>\n<p><strong>Use mental math and a pattern to find the product.<\/strong><\/p>\n<p>Question 11.<br \/>\n(6 \u00d7 6) \u00d7 10<sup>1<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n(6 \u00d7 6) \u00d7 10<sup>1<\/sup> =\u00a0 360<\/p>\n<p>Explanation:<br \/>\n6 x 6 =36<br \/>\n(6 \u00d7 6) \u00d7 10<sup>1<\/sup> = 36 x 10 = 360<\/p>\n<p>Question 12.<br \/>\n(7 \u00d7 4) \u00d7 10<sup>3<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n28,000<\/p>\n<p>Explanation:<br \/>\n7 x 4 = 28<br \/>\n(7 \u00d7 4) \u00d7 10<sup>1<\/sup> = 28 x 10 = 280<br \/>\n(7 \u00d7 4) \u00d7 10<sup>2<\/sup> = 28 x 10 x 10 = 2,800<br \/>\n(7 \u00d7 4) \u00d7 10<sup>3<\/sup> = 28 x 10 x 10 x 10 = 28,000<\/p>\n<p>Question 13.<br \/>\n(9 \u00d7 8) \u00d7 10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n7,200<\/p>\n<p>Explanation:<br \/>\n(9 \u00d7 8) = 72<br \/>\n(9 \u00d7 8) \u00d7 10<sup>1<\/sup> = 72 x 10 = 720<br \/>\n(9 \u00d7 8) \u00d7 10<sup>2<\/sup> = 72 x 10 x 10 = 7,200<\/p>\n<p>Question 14.<br \/>\n(4 \u00d7 3) \u00d7 10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n1,200<\/p>\n<p>Explanation:<br \/>\n(4 \u00d7 3) = 12<br \/>\n(4 \u00d7 3) \u00d7 10<sup>1<\/sup> = 12 x 10 = 120<br \/>\n(4 \u00d7 3) \u00d7 10<sup>2<\/sup> = 12 x 10 x 10 = 1,200<\/p>\n<p>Question 15.<br \/>\n(2 \u00d7 5) \u00d7 10<sup>3<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n10,000<\/p>\n<p>Explanation:<br \/>\n(2 \u00d7 5) = 10<br \/>\n(2 \u00d7 5) \u00d7 10<sup>1<\/sup> = 10 x 10 = 100<br \/>\n(2 \u00d7 5) \u00d7 10<sup>2<\/sup> = 10 x 10 x 10 = 1,000<br \/>\n(2 \u00d7 5) \u00d7 10<sup>3<\/sup> = 10 x 10 x 10 x 10 = 10,000<\/p>\n<p>Question 16.<br \/>\n(2 \u00d7 8) \u00d7 10<sup>2<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n1,600<\/p>\n<p>Explanation:<br \/>\n(2 \u00d7 8) = 16<br \/>\n(2 \u00d7 8) \u00d7 10<sup>1 <\/sup>= 16 x 10 = 160<br \/>\n(2 \u00d7 8) \u00d7 10<sup>2<\/sup> = 16 x 10 x 10 = 1,600<\/p>\n<p>Question 17.<br \/>\n(6 \u00d7 5) \u00d7 10<sup>3<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n30,000<\/p>\n<p>Explanation:<br \/>\n(6 \u00d7 5) = 30<br \/>\n(6 \u00d7 5) \u00d7 10<sup>1<\/sup> = 30 x 10 = 300<br \/>\n(6 \u00d7 5) \u00d7 10<sup>2<\/sup> = 30 x 10 x 10 = 3,000<br \/>\n(6 \u00d7 5) \u00d7 10<sup>3<\/sup> = 30 x 10 x 10 x 10 = 30,000<\/p>\n<p>Question 18.<br \/>\n(8 \u00d7 8) \u00d7 10<sup>4<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n640,000<\/p>\n<p>Explanation:<br \/>\n(8 \u00d7 8) = 64<br \/>\n(8 \u00d7 8) \u00d7 10<sup>1<\/sup> = 64 x 10 = 640<br \/>\n(8 \u00d7 8) \u00d7 10<sup>2<\/sup> = 64 x 10 x 10 = 6,400<br \/>\n(8 \u00d7 8) \u00d7 10<sup>3<\/sup> = 64 x 10 x 10 x 10 = 64,000<br \/>\n(8 \u00d7 8) \u00d7 10<sup>4<\/sup> = 64 x 10 x 10 x 10 x 10 = 640,000<\/p>\n<p>Question 19.<br \/>\n(7 \u00d7 8) \u00d7 10<sup>4<\/sup> = ____<\/p>\n<p>Answer:<br \/>\n560,000<\/p>\n<p>Explanation:<br \/>\n(7 \u00d7 8) = 56<br \/>\n(7 \u00d7 8) \u00d7 10<sup>1<\/sup> = 56 x 10 = 560<br \/>\n(7 \u00d7 8) \u00d7 10<sup>2<\/sup> = 56 x 10 x 10 = 5,600<br \/>\n(7 \u00d7 8) \u00d7 10<sup>3<\/sup> = 56 x 10 x 10 x 10 = 56,000<br \/>\n(7 \u00d7 8) \u00d7 10<sup>4<\/sup> = 56 x 10 x 10 x 10 x 10 = 560,000<\/p>\n<h3><a id=\"Multiplication_Patterns_Lesson_Check_-_Page_No._23\"><\/a>Multiplication Patterns &#8211; Share and Show &#8211; Page No. 23<\/h3>\n<p><strong>Use mental math to complete the table.<\/strong><\/p>\n<p>Question 20.<br \/>\n1 roll = 50 dimes ; Think:50 dimes per roll \u00d7 20 rolls =(5 \u00d7 2) \u00d7 (10 \u00d7 10)<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-6.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiplication Patterns img 6\" width=\"779\" height=\"85\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4735\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-4-300x101.jpg\" alt=\"Grade 5 Chapter 1 Image 4\" width=\"525\" height=\"177\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-4-300x101.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-4.jpg 715w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/p>\n<p>Explanation:<br \/>\n1 roll = 50 dimes ;<br \/>\nThink:50 dimes per roll \u00d7 20 rolls =(5 \u00d7 2) \u00d7 (10 \u00d7 10) = 10 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 30 rolls = (5 x 3) x (10 \u00d7 10) = 15 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 40 rolls = (5 x 4) x (20 \u00d7 10) = 20 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 50 rolls = (5 x 5) x (10 \u00d7 10) = 25 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 60 rolls = (5 x 6) x (10 \u00d7 10) = 30 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 70 rolls = (5 x 7) x (10 \u00d7 10) = 35 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 80 rolls = (5 x 8) x (10 \u00d7 10) = 40 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 90 rolls = (5 x 9) x (10 \u00d7 10) = 45 x 10<sup>2<\/sup><br \/>\n50 dimes per roll \u00d7 100 rolls = (5 x 10) x (10 \u00d7 10) = 50 x 10<sup>2<\/sup><\/p>\n<p>Question 21.<br \/>\n1 roll = 40 quarters ; Think:40 quarters per roll \u00d7 20 rolls =(4 \u00d7 2) \u00d7 (10 \u00d7 10)<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-7.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiplication Patterns img 7\" width=\"798\" height=\"87\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4737\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-5-300x35.jpg\" alt=\"Grade 5 Chapter 1 Image 5\" width=\"549\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-5-300x35.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-5-768x89.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-5.jpg 772w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>Explanation:<br \/>\n1 roll = 40 quarters ;<br \/>\nThink:40 quarters per roll \u00d7 20 rolls =(4 \u00d7 2) \u00d7 (10 \u00d7 10) = 8 x 10<sup>2<\/sup><br \/>\n40 quarters per roll \u00d7 30 rolls =(4 \u00d7 3) \u00d7 (10 \u00d7 10) = 12\u00a0x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 40 rolls =(4 \u00d7 4) \u00d7 (10 \u00d7 10) = 16 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 50 rolls =(4 \u00d7 5) \u00d7 (10 \u00d7 10) = 20 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 60 rolls =(4 \u00d7 6) \u00d7 (10 \u00d7 10) = 24 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 70 rolls =(4 \u00d7 7) \u00d7 (10 \u00d7 10) = 28 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 80 rolls =(4 \u00d7 8) \u00d7 (10 \u00d7 10) = 32 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 90 rolls =(4 \u00d7 9) \u00d7 (10 \u00d7 10) = 36 x 10<sup>2<br \/>\n<\/sup>40 quarters per roll \u00d7 100 rolls =(4 \u00d7 10) \u00d7 (10 \u00d7 10) = 40 x 10<sup>2<\/sup><\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-8.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiplication Patterns img 8\" width=\"526\" height=\"95\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-6-300x45.jpg\" alt=\"Grade 5 Chapter 1 Image 6\" width=\"467\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-6-300x45.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-6.jpg 737w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/p>\n<p>Explanation:<br \/>\n80 x 800 = 64 x 10<sup>3 <\/sup><br \/>\n80 x 6 = (8 x 6) x 10 = 48 x 10<sup>1<\/sup><br \/>\n80 x 70 = (8 x 7) x (10 x 10) = 56 x 10<sup>2<\/sup><br \/>\n80 x 9,000 = (8 x 9) x (10 x 10 x 10 x 10) = 64 x 10<sup>4<\/sup><\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-9.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiplication Patterns img 9\" width=\"520\" height=\"113\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-7-300x72.jpg\" alt=\"Grade 5 Chapter 1 Image 7\" width=\"488\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-7-300x72.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-7.jpg 715w\" sizes=\"(max-width: 488px) 100vw, 488px\" \/><\/p>\n<p>Explanation:<br \/>\nGiven that<br \/>\n90 x 9,000 = (9 x 9) x 10 x 10 x 10 x 10 = 81 x 10<sup>4<\/sup><br \/>\n90 x 6 = (9 x 6) x 10 = 54 x 10<sup>1<\/sup><br \/>\n90 x 70 = (9 x 7) x (10 x 10) = 63 x 10<sup>2<\/sup><br \/>\n90 x 800 = (9 x 8) x (10 x 10 x 10) = 72 x 10<sup>3<\/sup><\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p><strong>Use the table for 24\u201326.<\/strong><\/p>\n<p>Question 24.<br \/>\nWhat if you magnified the image of a cluster fly by 9 \u00d7 10<sup>3<\/sup> ? What would the length appear to be?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-10.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiplication Patterns img 10\" width=\"547\" height=\"283\" \/><br \/>\n____ mm<\/p>\n<p>Answer:<br \/>\n9,000 mm<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 10<sup>3<\/sup>\u00a0 = 9 x 10 x 10 x 10 = 9,000<\/p>\n<p>Question 25.<br \/>\nIf you magnified the image of a fire ant by 4 \u00d7 10<sup>3<\/sup> and a tree hopper by 3 \u00d7 10<sup>3<\/sup> , which insect would appear longer? How much longer?<br \/>\n____ mm<\/p>\n<p>Answer:<br \/>\n10<sup>3<\/sup> mm<\/p>\n<p>Explanation:<br \/>\nfire ant: 4 \u00d7 10<sup>3<\/sup>\u00a0 = 4 x 10 x 10 x 10 = 4,000 mm<br \/>\ntree hopper: 3 \u00d7 10<sup>3<\/sup> = 3 x 10 x 10 x 10 = 3,000 mm<br \/>\n4,000 &gt; 3,000.<br \/>\nSo, fire ant appears to be longer.<br \/>\n4,000 &#8211; 3,000 = 1,000 = 10<sup>3<\/sup><\/p>\n<p>Question 26.<br \/>\nJohn wants to magnify the image of a fire ant and a crab spider so they appear to be the same length. How many times their actual sizes would he need to magnify each image?<br \/>\nFire ant by _______ times<br \/>\nCrab spider by ______ times<\/p>\n<p>Answer:<br \/>\nFire ant by 5 times<br \/>\nCrab spider by 4 times<\/p>\n<p>Explanation:<br \/>\nGiven that Fire ant = 4 mm<br \/>\ncrab spider = 5 mm<br \/>\nSo, to make them have the same lengths, multiply fire ant by 5 mm and multiply Crab spider by 4 mm<\/p>\n<h3><a id=\"Multiplication_Patterns_Lesson_Check_1_-_Page_No._24\"><\/a>Multiplication Patterns &#8211; Share and Show &#8211; Page No. 24<\/h3>\n<p>Question 27.<br \/>\nWhat does the product of any whole-number factor multiplied by 100 always have? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThe product of any whole number factor multiplied by 100 has two digits which are 0 in ones and tens place.<br \/>\nExample: 2 x 100 = 200<\/p>\n<p>Question 28.<br \/>\nTest Prep How many zeros are in the product (5 \u00d7 4) \u00d7 10<sup>4<\/sup>?<br \/>\nOptions:<br \/>\nA. 3<br \/>\nB. 4<br \/>\nC. 5<br \/>\nD. 6<\/p>\n<p>Answer:<br \/>\nC. 5<\/p>\n<p>Explanation:<br \/>\n(5 \u00d7 4) \u00d7 10<sup>4<\/sup> = 20 x 10<sup>4<\/sup> = 2 x 10<sup>5<\/sup><br \/>\n5 zeroes<\/p>\n<p><strong>Use patterns and mental math to solve.<\/strong><\/p>\n<p>Question 29.<br \/>\nA human body has about 30 times as many platelets as white blood cells. A small sample of blood has 8\u00d710<sup>3<\/sup> white blood cells. About how many platelets are in the sample?<br \/>\n______ platelets<\/p>\n<p>Answer:<br \/>\n24 x 10<sup>4<\/sup> platelets<\/p>\n<p>Explanation:<br \/>\nLet the number of platelets = s.<br \/>\ns = 30 x 8\u00d710<sup>3<\/sup><br \/>\ns = 30 x 8 x 10 x 10 x 10 = (3 x 8) x (10 x 10 x 10 x 10) = 24 x 10<sup>4<\/sup><\/p>\n<p>Question 30.<br \/>\nBasophils and monocytes are types of white blood cells. A blood sample has about 5 times as many monocytes as basophils. If there are 60 basophils in the sample, about how many monocytes are there?<br \/>\n______ monocytes<\/p>\n<p>Answer:<br \/>\n3 x 10<sup>2<\/sup> monocytes<\/p>\n<p>Explanation:<br \/>\nLet the number of monocytes = S<br \/>\nS = 5 x 60 = 300 = 3 x 100<br \/>\nS = 3 x 10<sup>2<\/sup><\/p>\n<p>Question 31.<br \/>\nLymphocytes and eosinophils are types of white blood cells. A blood sample has about 10 times as many lymphocytes as eosinophils. If there are 2 \u00d7 10<sup>2<\/sup> eosinophils in the sample, about how many lymphocytes are there?<br \/>\n______ lymphocytes<\/p>\n<p>Answer:<br \/>\n2 \u00d7 10<sup>3<\/sup> lymphocytes<\/p>\n<p>Explanation:<br \/>\nLymphocytes and eosinophils are types of white blood cells. A blood sample has about 10 times as many lymphocytes as eosinophils.<br \/>\nThere are 2 \u00d7 10<sup>2<\/sup> eosinophils in the sample<br \/>\nThen, Lymphocytes = 10 x 2 \u00d7 10<sup>2<\/sup> eosinophils = 2 \u00d7 10<sup>3<\/sup><\/p>\n<p>Question 32.<br \/>\nAn average person has 6 \u00d7 10<sup>2<\/sup> times as many red bloods cells as white blood cells. A small sample of blood has 7 \u00d7 10<sup>3<\/sup> white blood cells. About how many red blood cells are in the sample?<br \/>\n______ red blood cells<\/p>\n<p>Answer:<br \/>\n42 x 10<sup>5\u00a0<\/sup> red blood cells<\/p>\n<p>Explanation:<br \/>\nLet the red blood cells = S<br \/>\nS = 7 \u00d7 10<sup>3<\/sup> x 6 \u00d7 10<sup>2 <\/sup><br \/>\nS = 42 x 10<sup>5\u00a0<\/sup><\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_-_Page_No._25\"><\/a>Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 25<\/h3>\n<p><strong>Choose the best term for the box.<\/strong><\/p>\n<p>Question 1.<br \/>\nA group of three digits separated by commas in a multidigit number is a __<br \/>\n________<\/p>\n<p>Answer:<br \/>\nPeriod<\/p>\n<p>Question 2.<br \/>\nAn __ is the number that tells how many times a base is used as a factor<br \/>\n________<\/p>\n<p>Answer:<br \/>\nexponent<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Complete the sentence.<\/strong><\/p>\n<p>Question 3.<br \/>\n7 is \\(\\frac{1}{10}\\) of ______<\/p>\n<p>Answer:<br \/>\n70<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n7 = \\(\\frac{1}{10}\\)\u00a0S<br \/>\nS = 7 X 10 = 70<\/p>\n<p>Question 4.<br \/>\n800 is 10 times as much as ______<\/p>\n<p>Answer:<br \/>\n80<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n800 = 10S<br \/>\nS = 800\/10 = 80.<\/p>\n<p><strong>Write the value of the underlined digit.<\/strong><\/p>\n<p>Question 5.<br \/>\n6,5<span style=\"text-decoration: underline;\">8<\/span>1,678<br \/>\n________<\/p>\n<p>Answer:<br \/>\n80,000<\/p>\n<p>Explanation:<br \/>\n(6 x 1,000,000) + (5 x 1,00,000) + (8 x 10,000) + (1 x 1,000) + (6 x 100) + (7 x 10) + (8 x 1)<br \/>\n8 x 10,000 = 80,000<\/p>\n<p>Question 6.<br \/>\n25,<span style=\"text-decoration: underline;\">6<\/span>34<br \/>\n________<\/p>\n<p>Answer:<br \/>\n600<\/p>\n<p>Explanation:<br \/>\n(2 x 10,000) + (5 x 1,000) + (6 x 100) + (3 x 10) + (4 x 1)<br \/>\n6 x 100 = 600<\/p>\n<p>Question 7.<br \/>\n3<span style=\"text-decoration: underline;\">4<\/span>,634,803<br \/>\n________<\/p>\n<p>Answer:<br \/>\n4,000,000<\/p>\n<p>Explanation:<br \/>\n(3 x 10,000,000) + (4 x 1,000,000) + (6 x 1,00,000) + (3 x 10,000) + (4 x 1,000) + (8 x 100) + (0 x 10) + (3 x 1)<br \/>\n4 x 1,000,000 = 4,000,000<\/p>\n<p>Question 8.<br \/>\n2,<span style=\"text-decoration: underline;\">7<\/span>64,835<br \/>\n________<\/p>\n<p>Answer:<br \/>\n700,000<\/p>\n<p>Explanation:<br \/>\n(2 x 1,000,000) + (7 x 1,00,000) + (6 x 10,000) + (4 x 1,000) + (8 x 100) + (3 x 10) + (5 x 1)<br \/>\n7 x 1,00,000 = 700,000<\/p>\n<p><strong>Complete the equation, and tell which property you used.<\/strong><\/p>\n<p>Question 9.<br \/>\n8 \u00d7 (14 + 7) = ________ + (8 \u00d7 7)<\/p>\n<p>Answer:<br \/>\n8 \u00d7 (14 + 7) = (8 x 14) + (8 \u00d7 7);<br \/>\nDistributive Property of Multiplication<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 (14 + 7)<br \/>\n(8 x 14) + (8 \u00d7 7); Distributive Property of Multiplication<\/p>\n<p>Question 10.<br \/>\n7 + (8 + 12) = ________ + 12<\/p>\n<p>Answer:<br \/>\n7 + (8 + 12) = (7 + 8) + 12<br \/>\nAssociative Property of Addition<\/p>\n<p><strong>Find the value.<\/strong><\/p>\n<p>Question 11.<br \/>\n10<sup>3<\/sup> = ______<\/p>\n<p>Answer:<br \/>\n1,000<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<\/p>\n<p>Question 12.<br \/>\n6 \u00d7 10<sup>2<\/sup> = ______<\/p>\n<p>Answer:<br \/>\n600<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 10<sup>2<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n6 x 100 = 600<\/p>\n<p>Question 13.<br \/>\n4 \u00d7 10<sup>4<\/sup> = ______<\/p>\n<p>Answer:<br \/>\n40,000<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 10<sup>4<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n4 x 10,000 = 40,000<\/p>\n<p><strong>Use mental math and a pattern to find the product.<\/strong><\/p>\n<p>Question 14.<br \/>\n70 \u00d7 300 = ______<\/p>\n<p>Answer:<br \/>\n21,000<\/p>\n<p>Explanation:<br \/>\n70 \u00d7 300 = (7 x 3) x (10 x 10 x 10) = 21 x 1,000 = 21,000<\/p>\n<p>Question 15.<br \/>\n(3 \u00d7 4) \u00d7 10<sup>3<\/sup> = ______<\/p>\n<p>Answer:<br \/>\n12,000<\/p>\n<p>Explanation:<br \/>\n(3 \u00d7 4) \u00d7 10<sup>3<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n12 x 1,000 = 12,000<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._26\"><\/a>Mid-Chapter Checkpoint &#8211; Page No. 26<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 16.<br \/>\nDVDs are on sale for $24 each. Which expression can be used to find the cost in dollars of buying 4 DVDs?<br \/>\nOptions:<br \/>\nA. (4 + 20) + (4 + 4)<br \/>\nB. (4 \u00d7 20) + (4 \u00d7 4)<br \/>\nC (4 + 20) \u00d7 (4 + 4)<br \/>\nD. (4 \u00d7 20) \u00d7 (4 \u00d7 4)<\/p>\n<p>Answer:<br \/>\nB. (4 \u00d7 20) + (4 \u00d7 4)<\/p>\n<p>Explanation:<br \/>\n24 can be written as 25 &#8211; 1<br \/>\n4 x 24 = 4 x (20 + 4) = (4 x 20) + (4 x 4)<\/p>\n<p>Question 17.<br \/>\nThe Muffin Shop chain of bakeries sold 745,305 muffins last year. Which choice shows that number in expanded form?<br \/>\nOptions:<br \/>\nA. (7 \u00d7 100,000) + (45 \u00d7 10,000) + (3 \u00d7 100) + (5 \u00d7 10)<br \/>\nB. (7 \u00d7 100,000) + (4 \u00d7 10,000) + (5 \u00d7 1,000) + (5 \u00d7 10)<br \/>\nC. (7 \u00d7 100,000) + (4 \u00d7 10,000) + (5 \u00d7 1,000) + (3 \u00d7 100) + (5 \u00d7 1)<br \/>\nD. (7 \u00d7 100,000) + (4 \u00d7 10,000) + (3 \u00d7 100) + (5 \u00d7 1)<\/p>\n<p>Answer:<br \/>\nC. (7 \u00d7 100,000) + (4 \u00d7 10,000) + (5 \u00d7 1,000) + (3 \u00d7 100) + (5 \u00d7 1)<\/p>\n<p>Explanation:<br \/>\nFirst, we can write 745,305 as:<br \/>\n700,000 + 40, 000 + 5,000 + 300 + 5<br \/>\n(7 x 100,000) + (4 x 10,000) + (5 x 1,000) + (3 x 100) + 5<\/p>\n<p>Question 18.<br \/>\nThe soccer field at Mario\u2019s school has an area of 6,000 square meters. How can Mario show the area as a whole number multiplied by a power of ten?<br \/>\nOptions:<br \/>\nA. 6 \u00d7 10<sup>4<\/sup> sq m<br \/>\nB. 6 \u00d7 10<sup>3<\/sup> sq m<br \/>\nC. 6 \u00d7 10<sup>2<\/sup> sq m<br \/>\nD. 6 \u00d7 10<sup>1<\/sup> sq m<\/p>\n<p>Answer:<br \/>\nB. 6 \u00d7 103 sq m<\/p>\n<p>Explanation:<br \/>\n6,000 square meters = 6 x 1,000 = 6 x 10 x 10 x 10 = 6 \u00d7 10<sup>3<\/sup> sq m<\/p>\n<p>Question 19.<br \/>\nMs. Alonzo ordered 4,000 markers for her store. Only \\(\\frac{1}{10}\\) of them arrived. How many markers did she receive?<br \/>\nOptions:<br \/>\nA. 4<br \/>\nB. 40<br \/>\nC. 400<br \/>\nD. 1,400<\/p>\n<p>Answer:<br \/>\nC. 400<\/p>\n<p>Explanation:<br \/>\nMs. Alonzo ordered 4,000 markers for her store. Only \\(\\frac{1}{10}\\) of them arrived.<br \/>\n4,000 x \\(\\frac{1}{10}\\) = 400<\/p>\n<p>Question 20.<br \/>\nMark wrote the highest score he made on his new video game as the product of 70 \u00d7 6,000. What was his score?<br \/>\nOptions:<br \/>\nA. 420<br \/>\nB. 4,200<br \/>\nC. 42,000<br \/>\nD. 420,000<\/p>\n<p>Answer:<br \/>\nD. 420,000<\/p>\n<p>Explanation:<br \/>\nMark wrote the highest score he made on his new video game as the product of 70 \u00d7 6,000.<br \/>\n(7 x 6) x (10 x 10 x 10 x 10) = 42 x 10,000 = 420,000<\/p>\n<h3><a id=\"Multiply_by_1-Digit_Numbers_-_Page_No._29\"><\/a>Multiply by 1-digit numbers &#8211; Share and Show &#8211; Page No. 29<\/h3>\n<p><strong>Complete to find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n6 \u00d7 796\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Estimate: 6 \u00d7 ___ = ___<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-11.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 1-digit numbers img 11\" width=\"797\" height=\"115\" \/><br \/>\n______<\/p>\n<p>Answer:<br \/>\n4,776<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-11.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 1-digit numbers img 11\" width=\"797\" height=\"115\" \/><\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n6 0 8<br \/>\n\u00d7\u00a0 \u00a08<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: 608 \u00d7 8 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 6,000<br \/>\nProduct: 608 \u00d7 8 = 4,864<\/p>\n<p>Explanation:<br \/>\nEstimate: 608 is close to 600; 8 is close to 10<br \/>\n600 x 10 = 6,000<br \/>\n608 x 8<br \/>\nMultiply the ones; 8 x 8 = 64. 4 ones and 6 tens. Write the ones and the<br \/>\nregrouped tens.<br \/>\nMultiply the tens; 0 x 8 = 0 + 6 = 6<br \/>\nMultiply the hundreds; 6 x 8 = 48.<br \/>\nSo, 4,864 is the product of 608 \u00d7 8<br \/>\nProduct: 4,864<\/p>\n<p>Question 3.<br \/>\nEstimate: __<br \/>\n5 5 6<br \/>\n\u00d7\u00a0 \u00a04<br \/>\n&#8212;&#8212;&#8212;&#8211;<br \/>\nEstimate: ________<br \/>\nProduct: 556 \u00d7 4 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 2,780<br \/>\nProduct: 556 \u00d7 4 = 2,224<\/p>\n<p>Explanation:<br \/>\nEstimate: 556 is close to 550; 4 is close to 5<br \/>\n556 x 5 = 2,780<br \/>\n556 \u00d7 4<br \/>\nMultiply the ones; 6 x 4 = 24. 4 ones and 2 tens. Write the ones and the<br \/>\nregrouped tens.<br \/>\nMultiply the tens; 5 x 4 = 20 + 2 = 22; 2 tens and 2 hundreds. Write the tens and regrouped hundreds.<br \/>\nMultiply the hundreds; 5 x 4 = 20; 20 + 2 = 22.<br \/>\nSo, 2,224 is the product of 556 \u00d7 4<br \/>\nProduct: 2,224<\/p>\n<p>Question 4.<br \/>\nEstimate:<br \/>\n1,925<br \/>\n\u00d7\u00a0 \u00a0 7<br \/>\n&#8212;&#8212;&#8212;&#8211;<br \/>\nEstimate: ________<br \/>\nProduct: 1,925 \u00d7 7 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 10,000<br \/>\nProduct: 1,925 \u00d7 7 = 13,475<\/p>\n<p>Explanation:<br \/>\nEstimate: 1,925 is close to 2000; 7 is close to 5<br \/>\n2,000 x 5 = 10,000<br \/>\n1,925 \u00d7 7<br \/>\nMultiply the ones; 7 x 5 = 35. 5 ones and 3 tens. Write the ones and the<br \/>\nregrouped tens.<br \/>\nMultiply the tens; 7 x 2 = 14; 14 + 3 = 17; 7 tens and 1 hundreds. Write the tens and regrouped hundreds.<br \/>\nMultiply the hundreds; 7 x 9 = 63; 63 + 1 = 64. 4 hundred and 6 thousand Write the hundreds and regrouped thousands.<br \/>\nMultiply the thousands; 7 x 1 = 7; 7 + 6 = 13<br \/>\nSo, 13,475 is the product of 1,925 \u00d7 7<br \/>\nProduct: 13,475<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 5.<br \/>\nEstimate:__<br \/>\n7 9 4<br \/>\n\u00d7\u00a0 \u00a03<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct:794 \u00d7 3 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 800<br \/>\nProduct:794 \u00d7 3 = 2,382<\/p>\n<p>Explanation:<br \/>\nEstimate: 794 is close to 800 and 3 is close to 1<br \/>\n800 x 1 = 800<br \/>\n794 x 3 = (700 + 90 + 4) x 3 = (700 x 3) + (90 x 3) + (4 x 3) = 2100 + 270 + 12 = 2,382<\/p>\n<p>Question 6.<br \/>\nEstimate:___<br \/>\n8 2 2<br \/>\n\u00d7\u00a0 \u00a06<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\n822 \u00d7 6 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 4,000<br \/>\n822 \u00d7 6 = 4,932<\/p>\n<p>Explanation:<br \/>\nEstimate: 822 is close to 800 and 6 is close to 5<br \/>\n800 x 5 = 4,000<br \/>\n822 \u00d7 6 = (800 + 20 + 2) x 6 = (800 x 6) + (20 x 6) + (2 x 6) = 4800 + 120 + 12 = 4,932<\/p>\n<p>Question 7.<br \/>\nEstimate:<br \/>\n3,102<br \/>\n\u00d7\u00a0 \u00a0 5<br \/>\n&#8212;&#8212;&#8212;&#8211;<br \/>\nEstimate: ________<br \/>\nProduct: 3,102 \u00d7 5 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 15,500<br \/>\nProduct: 3,102 \u00d7 5 = 15,510<\/p>\n<p>Explanation:<br \/>\nEstimate: 3,102 is close to 3,100 and 5 is close to 5<br \/>\n3,100 x 5 = 15,500<br \/>\n3,102 x 5 = (3,000 + 100 + 0 + 2) x 5 = (3000 x 5) + (100 x 5) + 0 + (2 x 5) = 15,000 + 500 + 0 + 10 = 15,510<\/p>\n<p><strong>Algebra Solve for the unknown number.<\/strong><\/p>\n<p>Question 8.<br \/>\n3 9 6<br \/>\n\u00d7\u00a0 \u00a06<br \/>\n&#8212;&#8212;&#8212;<br \/>\n2, 3 6<br \/>\n396 \u00d7 6 = 23 ______ 6<\/p>\n<p>Answer:<br \/>\n7<\/p>\n<p>Explanation:<br \/>\n396 x 6 = (300 + 90 + 6) x 6 = (300 x 6) + (90 x 6) + (6 x 6) = 1800 + 540 + 36 = 2376. So, the unknown number is 7<\/p>\n<p>Question 9.<br \/>\n5,1 2<br \/>\n\u00d7\u00a0 \u00a08<br \/>\n&#8212;&#8212;&#8211;<br \/>\n16<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n5127 x 8 = 41,016.<br \/>\nUnknown numbers = 7 and 410<\/p>\n<p>Explanation:<br \/>\n5,127 x 8 = (5000 + 100 + 20 + 7) x 8 = (5000 x 8) + (100 x 8) + (20 x 8) + (7 x 8) = 40000 + 800 + 160 + 56 = 41,016<\/p>\n<p>Question 10.<br \/>\n8, 5 6<br \/>\n\u00d7\u00a0 \u00a0 7<br \/>\n&#8212;&#8212;&#8212;<br \/>\n60,03<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n8,5<span style=\"text-decoration: underline;\">7<\/span>6 x 7 = 60,03<span style=\"text-decoration: underline;\">2<\/span><\/p>\n<p>Explanation:<br \/>\n8,576 x 7 = (8000 + 500 + 70 + 6) x 7 = (8000 x 7) + (500 x 7) + (70 x 7) + (6 x 7) = 56000 + 3500 + 490 + 42 = 60,032<\/p>\n<p><strong>Practice: Copy and Solve Estimate. Then find the product.<\/strong><\/p>\n<p>Question 11.<br \/>\n116 \u00d7 3 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 300<br \/>\n116 \u00d7 3 = 348<\/p>\n<p>Explanation:<br \/>\nEstimate: 116 is close to 100;<br \/>\n100 x 3 = 300<br \/>\n116 x 3<br \/>\n6 x 3 =18; add ones and regroup tens<br \/>\n3 x 1 = 3; 3 + 1 = 4<br \/>\n3 x 1 = 3<br \/>\nSo, 348 is the product<\/p>\n<p>Question 12.<br \/>\n338 \u00d7 4 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n338 \u00d7 4 = 1,352<br \/>\nEstimate: 1,200<\/p>\n<p>Explanation:<br \/>\nEstimate: 338 is close to 300;<br \/>\n300 x 4 = 1,200<br \/>\n338 \u00d7 4<br \/>\n8 x 4 =32; add ones and regroup tens<br \/>\n3 x 4 = 12; 12 + 3 = 15; add tens and regroup hundreds<br \/>\n3 x 4 = 12; 12 + 1 = 13<br \/>\nSo, 1352 is the product<\/p>\n<p>Question 13.<br \/>\n6 \u00d7 219 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n6 \u00d7 219 = 1,314<br \/>\nEstimate: 1200<\/p>\n<p>Explanation:<br \/>\nEstimate: 219 is close to 200<br \/>\n200 x 6 = 1200<br \/>\n6 \u00d7 219<br \/>\n6 x 9 = 54; add ones and regroup tens<br \/>\n6 x 1 = 6; 6 + 5 = 11; add tens and regroup hundreds<br \/>\n6 x 2 = 12; 12 + 1 = 13<br \/>\nSo, 1,314<\/p>\n<p>Question 14.<br \/>\n7 \u00d7 456 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n7 \u00d7 456 = 3192<br \/>\nEstimate: 3500<\/p>\n<p>Explanation:<br \/>\nEstimate: 456 is close to 500<br \/>\n500 x 7 = 3500<br \/>\n7 x 456<br \/>\n7 x 6 = 42; add ones and regroup tens<br \/>\n7 x 5 = 35; 35 + 4 = 39; add tens and regroup hundreds<br \/>\n7 x 4 = 28; 28 + 3 = 31<br \/>\nSo, 3192<\/p>\n<p>Question 15.<br \/>\n5 \u00d7 1,012 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n5 \u00d7 1,012 = 5,060<br \/>\nEstimate: 5,000<\/p>\n<p>Explanation:<br \/>\nEstimate: 1,012 is close to 1,000<br \/>\n1,000 x 5 = 5,000<br \/>\n5 \u00d7 1,012<br \/>\n5 x 2 = 10; add ones and regroup tens<br \/>\n5 x 1 = 5; 5 + 1 = 6; add tens and regroup hundreds<br \/>\n5 x 0 = 0<br \/>\n5 x 1 = 5<br \/>\nSo, 5,060<\/p>\n<p>Question 16.<br \/>\n2,921 \u00d7 3 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n2,921 \u00d7 3 = 8,763<br \/>\nEstimate: 9,000<\/p>\n<p>Explanation:<br \/>\nEstimate: 2,921 is close to 3,000<br \/>\n3,000 x 3 = 9,000<br \/>\n2,921 \u00d7 3<br \/>\n3 x 1 = 3;<br \/>\n3 x 2 = 6;<br \/>\n3 x 9 = 27; add hundreds and regroup thousands<br \/>\n3 x 2 = 6; 6 + 2 = 8<br \/>\nSo, 8,763<\/p>\n<p>Question 17.<br \/>\n8,813 \u00d7 4 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<br \/>\n8,813 \u00d7 4 = 35,252<br \/>\nEstimate: 3,600<\/p>\n<p>Explanation:<br \/>\nEstimate: 8,813 is close to 9,000<br \/>\n9,000 x 4 = 3,600<br \/>\n8,813 \u00d7 4<br \/>\n4 x 3 = 12; add ones and regroup tens<br \/>\n4 x 1 = 4; 4 + 1 = 5;<br \/>\n4 x 8 = 32; add hundreds and regroup thousands<br \/>\n4 x 8 = 32; 32 + 3 = 35<br \/>\nSo, 35,252<\/p>\n<p>Question 18.<br \/>\n9 \u00d7 3,033 = _______<br \/>\nEstimate: _______<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\nEstimate: 3,033 is close to 3,000<br \/>\n3,000 x 9 = 27,000<br \/>\n9 \u00d7 3,033<br \/>\n9 x 3 = 27; add ones and regroup tens<br \/>\n9 x 3 = 27; 27 +\u00a0 = 11; add tens and regroup hundreds<br \/>\n6 x 2 = 12; 12 + 1 = 13<br \/>\nSo, 1,314<\/p>\n<h3><a id=\"Multiply_by_1-Digit_Numbers_Lesson_Check-_Page_No._30\"><\/a>Multiply by 1-digit numbers &#8211; Problem Solving &#8211; Page No. 30<\/h3>\n<p><strong>What\u2019s the Error?<\/strong><\/p>\n<p>Question 19.<br \/>\nThe Plattsville Glee Club is sending 8 of its members to a singing contest in Cincinnati, Ohio. The cost will be $588 per person. How much will it cost for the entire group of 8 students to attend? Both Brian and Jermaine solve the problem. Brian says the answer is $40,074. Jermaine\u2019s answer is $4,604.<br \/>\nEstimate the cost. A reasonable estimate is _<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$4,800<\/p>\n<p>Explanation:<br \/>\nThe Plattsville Glee Club is sending 8 of its members to a singing contest in Cincinnati, Ohio. The cost will be $588 per person.<br \/>\nSo, for entire group 8 x $588 = $4,704<br \/>\nJermaine\u2019s answer is correct. Because the $4,604 is close to $4,704<br \/>\n588 is close to 600. So, 600 x 8 = $4,800<\/p>\n<p>Question 19.<br \/>\nAlthough Jermaine\u2019s answer seems reasonable, neither Brian nor Jermaine solved the problem correctly. Find the errors in Brian\u2019s and Jermaine\u2019s work.<br \/>\nThen, solve the problem correctly.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-12.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 1-digit numbers img 12\" width=\"719\" height=\"250\" \/><br \/>\nWhat error did Brian make? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nWhen Brian multiplied the tens, he wrote the total number of tens in the product instead of regrouping, so the place values of his product are incorrect.<\/p>\n<p>Question 19.<br \/>\nWhat error did Jermaine make? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nJermaine regrouped the wrong amount of hundreds. He regrouped the tens as 6 hundred instead of 7 hundred.<br \/>\n$588 x 8 = $4,704<\/p>\n<p>Question 19.<br \/>\nHow could you predict that Jermaine\u2019s answer might be incorrect using your estimate?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nI used 600 \u00d7 8 to estimate the product; 588 is 12 less than 600. Since 12 \u00d7 8 = 96, and 4,604 is almost 200 less than the estimate of 4,800, the answer is probably too low.<\/p>\n<h3><a id=\"Multiply_by_Multi-Digit_Numbers_-_Page_No._33\"><\/a>Multiply by 2-digit numbers &#8211; Share and Show &#8211; Page No. 33<\/h3>\n<p><strong>Complete to find the product<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-13.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 2-digit numbers img 13\" width=\"269\" height=\"135\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n2,752<\/p>\n<p>Explanation:<br \/>\n64 x 3 = 192<br \/>\n64 x 40 = 2,560<br \/>\n2,560 + 192 = 2,752<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-14.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 2-digit numbers img 14\" width=\"308\" height=\"160\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n21,698<\/p>\n<p>Explanation:<br \/>\n571 x 8 = 4,568<br \/>\n571 x 30 = 17,130<br \/>\n17,130 + 4,568 = 21,698<\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 3.<br \/>\nEstimate:____<br \/>\n2 4<br \/>\n\u00d7 1 5<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 300<br \/>\nProduct: 360<\/p>\n<p>Explanation:<br \/>\n2 4 x 15<br \/>\nEstimate: 20 x 15 = 300<br \/>\n24 x 5 = 120<br \/>\n24 x 10 = 240<br \/>\nProduct:: 240 + 120 = 360<\/p>\n<p>Question 4.<br \/>\nEstimate:____<br \/>\n3 7<br \/>\n\u00d7 6 3<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 2,400<br \/>\nProduct: 2,331<\/p>\n<p>Explanation:<br \/>\n37 x 63<br \/>\nEstimate: 40 x 60 = 2,400<br \/>\n37 x 3 = 111<br \/>\n37 x 60 = 2220<br \/>\nProduct:: 2220 + 111 = 2,331<\/p>\n<p>Question 5.<br \/>\nEstimate:____<br \/>\n3 8 4<br \/>\n\u00d7 4 5<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 20,000<br \/>\nProduct: 17,280<\/p>\n<p>Explanation:<br \/>\n384 x 45<br \/>\nEstimate: 400 x 50 = 20,000<br \/>\n384 x 5 = 1920<br \/>\n384 x 40 = 15,360<br \/>\nProduct:: 15,360 + 1920 = 17,280<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 6.<br \/>\nEstimate:____<br \/>\n2 8<br \/>\n\u00d7 2 2<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 600<br \/>\nProduct: 616<\/p>\n<p>Explanation:<br \/>\n28 x 22<br \/>\nEstimate: 30 x 20 = 600<br \/>\n28 x 2 = 56<br \/>\n28 x 20 = 560<br \/>\nProduct:: 56 + 560 = 616<\/p>\n<p>Question 7.<br \/>\nEstimate:____<br \/>\n9 3<br \/>\n\u00d7 7 6<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 7200<br \/>\nProduct: 7,068<\/p>\n<p>Explanation:<br \/>\n93 x 76<br \/>\nEstimate: 90 x 80 = 7200<br \/>\n93 x 6 = 558<br \/>\n93 x 70 = 6,510<br \/>\nProduct:: 558 + 6,510 = 7,068<\/p>\n<p>Question 8.<br \/>\nEstimate:____<br \/>\n2 9 5<br \/>\n\u00d7 5 1<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: ________<br \/>\nProduct: ________<\/p>\n<p>Answer:<br \/>\nEstimate: 15,000<br \/>\nProduct: 15,045<\/p>\n<p>Explanation:<br \/>\n295 x 51<br \/>\nEstimate: 300 x 50 = 15,000<br \/>\n295 x 1 = 295<br \/>\n295 x 50 = 14,750<br \/>\nProduct:: 295 + 14,750 = 15,045<\/p>\n<p><strong>Practice: Copy and Solve Estimate. Then find the product.<\/strong><\/p>\n<p>Question 9.<br \/>\nEstimate: ________<br \/>\n54 \u00d7 31 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,500<br \/>\nProduct: 1,674<\/p>\n<p>Explanation:<br \/>\n54 x 31<br \/>\nEstimate: 50 x 30 = 1,500<br \/>\n54 x 1 = 54<br \/>\n54 x 30 = 1,620<br \/>\nProduct:: 54 + 1,620 = 1,674<\/p>\n<p>Question 10.<br \/>\nEstimate: ________<br \/>\n42 \u00d7 26 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,200<br \/>\nProduct: 1,092<\/p>\n<p>Explanation:<br \/>\n42 x 26<br \/>\nEstimate: 40 x 30 = 1,200<br \/>\n42 x 6 = 252<br \/>\n42 x 20 = 840<br \/>\nProduct:: 252 + 840 = 1,092<\/p>\n<p>Question 11.<br \/>\nEstimate: ________<br \/>\n38 \u00d7 64 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 2,400<br \/>\nProduct: 2,432<\/p>\n<p>Explanation:<br \/>\n38 \u00d7 64<br \/>\nEstimate: 40 x 60 = 2,400<br \/>\n38 x 4 = 152<br \/>\n38 x 60 = 2,280<br \/>\nProduct:: 152 + 2,280 = 2,432<\/p>\n<p>Question 12.<br \/>\nEstimate: ________<br \/>\n63 \u00d7 16 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,200<br \/>\nProduct: 1,008<\/p>\n<p>Explanation:<br \/>\n63 x 16<br \/>\nEstimate: 60 x 20 = 1,200<br \/>\n63 x 6 = 378<br \/>\n63 x 10 = 630<br \/>\nProduct:: 378 + 630 = 1,008<\/p>\n<p>Question 13.<br \/>\nEstimate: ________<br \/>\n204 \u00d7 41 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 8,000<br \/>\nProduct: 8,364<\/p>\n<p>Explanation:<br \/>\n204 \u00d7 41<br \/>\nEstimate: 200 x 40 = 8,000<br \/>\n204 x 1 = 204<br \/>\n204 x 40 = 8,160<br \/>\nProduct:: 204 + 8,160 = 8,364<\/p>\n<p>Question 14.<br \/>\nEstimate: ________<br \/>\n534 \u00d7 25 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 15,000<br \/>\nProduct: 13,350<\/p>\n<p>Explanation:<br \/>\n534 x 25<br \/>\nEstimate: 500 x 30 = 15,000<br \/>\n534 x 5 = 2,670<br \/>\n534 x 20 = 10,680<br \/>\nProduct:: 2,670 + 10,680 = 13,350<\/p>\n<p>Question 15.<br \/>\nEstimate: ________<br \/>\n722 \u00d7 39 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 28,000<br \/>\nProduct: 28,158<\/p>\n<p>Explanation:<br \/>\n722 \u00d7 39<br \/>\nEstimate: 700 x 40 = 28,000<br \/>\n722 x 9 = 6,498<br \/>\n722 x 30 = 21,660<br \/>\nProduct:: 6,498 + 21,660 = 28,158<\/p>\n<p>Question 16.<br \/>\nEstimate: ________<br \/>\n957 \u00d7 43 = ________<\/p>\n<p>Answer:<br \/>\nEstimate: 40,000<br \/>\nProduct: 44,022<\/p>\n<p>Explanation:<br \/>\n957 \u00d7 43<br \/>\nEstimate: 1,000 x 40 = 40,000<br \/>\n957 x 3 = 2,871<br \/>\n957 x 40 = 41,151<br \/>\nProduct:: 2,871 + 41,151 = 44,022<\/p>\n<h3><a id=\"Multiply_by_Multi-Digit_Numbers_Lesson_Check_-_Page_No._34\"><\/a>Multiply by 2-digit numbers &#8211; Problem Solving &#8211; Page No. 34<\/h3>\n<p><strong>Use the table for 17\u201320.<\/strong><\/p>\n<p>Question 17.<br \/>\nHow much sleep does a jaguar get in 1 year?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-15.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Multiply by 2-digit numbers img 15\" width=\"669\" height=\"771\" \/><br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n4,004 hours<\/p>\n<p>Explanation:<br \/>\n52 weeks x 77 = 4,004 hours<\/p>\n<p>Question 18.<br \/>\nIn 1 year, how many more hours of sleep does a giant armadillo get than a platypus?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n1,508 hours<\/p>\n<p>Explanation:<br \/>\ngiant armadillo: 52 x 127 = 6,604<br \/>\nplatypus: 52 x 98 = 5,096<br \/>\n6,604 &#8211; 5,096 = 1,508<\/p>\n<p>Question 19.<br \/>\nOwl monkeys sleep during the day, waking about 15 minutes after sundown to find food. At midnight, they rest for an hour or two, then continue to feed until sunrise. They live about 27 years. How many hours of sleep does an owl monkey that lives 27 years get in its lifetime?<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n4927.5 days<\/p>\n<p>Explanation:<br \/>\nGiven that the time of Owl monkeys sleeps during the day walking about 15 minutes after sundown. Then, at midnight they rest for an hour or two then continue to feed until sunrise. Notice that the above description doesn&#8217;t say that they sleep in after sundown. They either eat or rest.<br \/>\nDay time is usually considered from 6 am to 6 pm which is total of 12 hours.<br \/>\nAs per the given information, owl monkey sleeps in that period.<br \/>\nGiven that owl, monkeys live for 27 years.<br \/>\nSo the time for sleeping in their lifetime = 12 hours * 27 years<br \/>\n= (12\/24 days) * 27 years<br \/>\n= (1\/2 days) * 27 years<br \/>\n= (1\/2 days) * (27*365 days)<br \/>\n= (1\/2 days) * (9855 days)<br \/>\n= 4927.5 days<br \/>\nHence final answer is 4927.5 days.<\/p>\n<p>Question 20.<br \/>\nThree-toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down. A baby sloth may cling to its mother for as much as 36 weeks after being born. How much of that time is the sloth asleep?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n3,636 hours<\/p>\n<p>Explanation:<br \/>\n101 x 36 = 3,636<\/p>\n<p>Question 21.<br \/>\nTest Prep A sloth\u2019s maximum speed on the ground is 15 feet in 1 minute. Even though it would be unlikely for a sloth to stay in motion for more than a few moments, how far would a sloth travel in 45 minutes at that speed?<br \/>\nOptions:<br \/>\nA. 60 feet<br \/>\nB. 270 feet<br \/>\nC. 675 feet<br \/>\nD. 6,750 feet<\/p>\n<p>Answer:<br \/>\nC. 675 feet<\/p>\n<p>Explanation:<br \/>\nsloth\u2019s maximum speed on the ground is 15 feet in 1 minute. For 45 minutes, 45 x 15 = 675 feet<\/p>\n<h3><a id=\"Relate_Multiplication_to_Division_\u2013_Page_No._37\"><\/a>Relate Multiplication to Division &#8211; Share and Show &#8211; Page No. 37<\/h3>\n<p>Question 1.<br \/>\nBrad has 72 toy cars that he puts into 4 equal groups. How many cars does Brad have in each group? Use the array to show your answer.<br \/>\n4 \u00d7 = 72\u00a0 \u00a0 \u00a0 \u00a0 \u00a072 \u00f7 4 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-16.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Relate Multiplication to Division img 16\" width=\"526\" height=\"131\" \/><br \/>\n4 \u00d7 ________ = 72<br \/>\n72 \u00f7 4 = ________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-4777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-8-300x111.jpg\" alt=\"Grade 5 Chapter 1 Image 8\" width=\"503\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-8-300x111.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-8.jpg 689w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/p>\n<p>Explanation:<br \/>\nBrad has 18 toy cars in each group.<br \/>\nBecause 72\u00f74 =18<br \/>\n4 \u00d7 18 = 72<br \/>\n4 x (9 + 9) = (4 x 9) + (4 x 9)<\/p>\n<p><strong>Use multiplication and the Distributive Property to find the quotient.<\/strong><\/p>\n<p>Question 2.<br \/>\n108 \u00f7 6 = _____<\/p>\n<p>Answer:<br \/>\n18<\/p>\n<p>Explanation:<br \/>\n108 \u00f7 6<br \/>\n6 x 18 = 6 x (9 + 9) = (6 x 9) + (6 x 9) = 54 + 54 = 108<br \/>\n(36 + 72) \u00f7 6 = (36 \u00f7 6) + (72\u00f7 6) = 6 + 12 = 18<\/p>\n<p>Question 3.<br \/>\n84 \u00f7 6 = _____<\/p>\n<p>Answer:<br \/>\n14<\/p>\n<p>Explanation:<br \/>\n84 \u00f7 6<br \/>\n(42 + 42) \u00f7 6 = (42\u00f7 6) + (42\u00f7 6) = 7 + 7 = 14<br \/>\n6 x 14 = 6 x (7 + 7) = (6 x 7) + (6 x 7) = 42 + 42 = 84<\/p>\n<p>Question 4.<br \/>\n184 \u00f7 8 = _____<\/p>\n<p>Answer:<br \/>\n23<\/p>\n<p>Explanation:<br \/>\n184 \u00f7 8<br \/>\n(92 + 92) \u00f7 8 = (92\u00f7 8) + (92\u00f7 8) = 11.5 + 11.5 = 23<br \/>\n8 x 23 = 8 x (11 + 12) = (8 x 11) + (8 x 12) = 88 + 96 = 184<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Use multiplication and the Distributive Property to find the quotient.<\/strong><\/p>\n<p>Question 5.<br \/>\n60 \u00f7 4 = _____<\/p>\n<p>Answer:<br \/>\n15<\/p>\n<p>Explanation:<br \/>\n60 \u00f7 4<br \/>\n(20 + 40) \u00f7 4 = (20 \u00f7 4) + (40 \u00f7 4) = 5 + 10 = 15<br \/>\n4 x 15 = 4 x (7+ 8) = (4 x 7) + (4 x 8) = 28 + 32 = 60<\/p>\n<p>Question 6.<br \/>\n144 \u00f7 6 = _____<\/p>\n<p>Answer:<br \/>\n24<\/p>\n<p>Explanation:<br \/>\n144 \u00f7 6<br \/>\n(72 + 72) \u00f7 6 = (72 \u00f7 6) + (72 \u00f7 6) = 12 + 12 = 24<br \/>\n6 x 24 = 6 x ( 12 + 12) = (6 x 12) + (6 x 12) = 72 + 72 = 144<\/p>\n<p>Question 7.<br \/>\n252 \u00f7 9 = _____<\/p>\n<p>Answer:<br \/>\n28<\/p>\n<p>Explanation:<br \/>\n252 \u00f7 9<br \/>\n(126 + 126) \u00f7 9 = (126 \u00f7 9) + (126 \u00f7 9) = 14 + 14 = 28<br \/>\n6 x 28 = 6 x ( 14 + 14) = (6 x 14) + (6 x 14) = 126 + 126 = 252<\/p>\n<p><strong>Find each quotient. Then compare. Write &lt;, &gt; or =.<\/strong><\/p>\n<p>Question 8.<br \/>\n51 \u00f7 3 _____ 68 \u00f7 4<\/p>\n<p>Answer:<br \/>\n51 \u00f7 3 = 68 \u00f7 4<\/p>\n<p>Explanation:<br \/>\n51 \u00f7 3 = 17<br \/>\n68 \u00f7 4 = 17<br \/>\n17 = 17.<\/p>\n<p>Question 9.<br \/>\n252 \u00f7 6 _____ 135 \u00f7 3<\/p>\n<p>Answer:<br \/>\n252 \u00f7 6 &lt; 135 \u00f7 3<\/p>\n<p>Explanation:<br \/>\n252 \u00f7 6 = 42<br \/>\n135 \u00f7 3 = 45<br \/>\n42 &lt; 45<\/p>\n<p>Question 10.<br \/>\n110 \u00f7 5 _____ 133 \u00f7 7<\/p>\n<p>Answer:<br \/>\n110 \u00f7 5 &gt; 133 \u00f7 7<\/p>\n<p>Explanation:<br \/>\n110 \u00f7 5 = 22<br \/>\n133 \u00f7 7 = 19<br \/>\n22 &gt; 19<\/p>\n<h3><a id=\"Relate_Multiplication_to_Division_Lesson_Check_\u2013_Page_No._38\"><\/a>Relate Multiplication to Division &#8211; Problem Solving &#8211; Page No. 38<\/h3>\n<p><strong>Use the table to solve 11\u201313.<\/strong><\/p>\n<p>Question 11.<br \/>\nA group of 6 friends share a bag of the 45-millimeter bouncy balls equally among them. How many does each friend get?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-17.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Relate Multiplication to Division img 17\" width=\"393\" height=\"368\" \/><br \/>\n____ balls<\/p>\n<p>Answer:<br \/>\n7 balls<\/p>\n<p>Explanation:<br \/>\nA group of 6 friends shares a bag of the 45-millimeter bouncy balls equally among them.<br \/>\n45\/6 = 7 balls and 3 balls remained<\/p>\n<p>Question 12.<br \/>\nMr. Henderson has 2 bouncy-ball vending machines. He buys one bag of the 27-millimeter balls and one bag of the 40-millimeter balls. He puts an equal number of each in the 2 machines. How many bouncy balls does he put in each machine?<br \/>\n________ balls of the 27-millimeter .<br \/>\n________ balls of the 40-millimeter .<br \/>\n________ total balls<\/p>\n<p>Answer:<br \/>\n51 balls of the 27-millimeter<br \/>\n29 balls of the 40-millimeter<br \/>\n80 total balls<\/p>\n<p>Explanation:<br \/>\nThere&#8217;s 51 27 mm, 29 40 mm<\/p>\n<p>Question 13.<br \/>\nLindsey buys a bag of each size of bouncy ball. She wants to put the same number of each size of bouncy ball into 5 party-favor bags. How many of each size of bouncy ball will she put in a bag?<br \/>\n________ balls of the 27-millimeter<br \/>\n________ balls of the 40-millimeter<br \/>\n________ balls of the 45-millimeter<\/p>\n<p>Answer:<br \/>\n34 balls of the 27-millimeter<br \/>\n12 balls of the 40-millimeter<br \/>\n34 balls of the 45-millimeter<\/p>\n<p>Explanation:<br \/>\nThere&#8217;s 34 27 mm, 12 40 mm, and 34 45 mm bouncy balls<\/p>\n<p>Question 14.<br \/>\nWhat\u2019s the Error? Sandy writes (4 \u00d7 30) + (4 \u00d7 2) and says the quotient for 128 \u00f7 4 is 8. Is she correct? Explain.<br \/>\n128 \u00f7 4 = ____<\/p>\n<p>Answer:<br \/>\nSandy&#8217;s answer is incorrect.<br \/>\n128 \u00f7 4 = 32<\/p>\n<p>Explanation:<br \/>\n(4 \u00d7 30) + (4 \u00d7 2) = 120 + 8 = 128<br \/>\n128 \u00f7 4 = 32.<br \/>\n(4 \u00d7 30) + (4 \u00d7 2) = 4 x (30 + 2) = 4 x 32 = 128.<br \/>\n128 \u00f7 4 = 32<\/p>\n<p>Question 15.<br \/>\nTest Prep Which of the following can be used to find 150 \u00f7 6?<br \/>\nOptions:<br \/>\nA. (6 \u00d7 20) + (6 \u00d7 5)<br \/>\nB. (6 \u00d7 10) + (6 \u00d7 5)<br \/>\nC. (2 \u00d7 75) + (2 \u00d7 3)<br \/>\nD. (6 \u00d7 15) + (6 \u00d7 5)<\/p>\n<p>Answer:<br \/>\nA. (6 \u00d7 20) + (6 \u00d7 5)<\/p>\n<p>Explanation:<br \/>\n150 \u00f7 6 = 25<br \/>\n25 x 6 = 150<br \/>\n6 x 25 = 6 x (20 + 5) = (6 \u00d7 20) + (6 \u00d7 5)<\/p>\n<h3><a id=\"Multiplication_and_Division_-_Page_No._41\"><\/a>Problem Solving Multiplication and Division &#8211; Share and Show &#8211; Page No. 41<\/h3>\n<p>Question 1.<br \/>\nTo make concrete mix, Monica pours 34 pounds of cement, 68 pounds of sand, 14 pounds of small pebbles, and 19 pounds of large pebbles into a large wheelbarrow. If she pours the mixture into 9 equalsize bags, how much will each bag weigh?<br \/>\nFirst, find the total weight of the mixture.<br \/>\n____ pounds<\/p>\n<p>Answer:<br \/>\n135 pounds<\/p>\n<p>Explanation:<br \/>\n34 + 68 + 14 + 19 = 135<\/p>\n<p>Question 1.<br \/>\nThen, divide the total by the number of bags. Break the total into two simpler numbers to make the division easier, if necessary.<br \/>\nFinally, find the quotient and solve the problem.<br \/>\nSo, each bag will weigh _ pounds.<br \/>\n____ pounds<\/p>\n<p>Answer:<br \/>\n15 pounds<\/p>\n<p>Explanation:<br \/>\nnow, calculate 135\/9 = 15 pounds.<\/p>\n<p>Question 2.<br \/>\nWhat if Monica pours the mixture into 5 equal-size bags? How much will each bag weigh?<br \/>\n____ pounds<\/p>\n<p>Answer:<br \/>\n27 pounds<\/p>\n<p>Explanation:<br \/>\n135\/5 = 27<\/p>\n<p>Question 3.<br \/>\nTaylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?<br \/>\n____<\/p>\n<p>Answer:<br \/>\n56 doghouses<\/p>\n<p>Explanation:<br \/>\nTaylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets.<br \/>\n(12 x 14)\/3 = 168\/3 = 56 doghouses<\/p>\n<p>Question 4.<br \/>\nEileen is planting a garden. She has seeds for 60 tomato plants, 55 sweet corn plants, and 21 cucumber plants. She plants them in 8 rows, with the same number of plants in each row. How many seeds are planted in each row?<br \/>\n____ seeds \/ row<\/p>\n<p>Answer:<br \/>\n17 seeds<\/p>\n<p>Explanation:<br \/>\nEileen is planting a garden. She has seeds for 60 tomato plants, 55 sweet corn plants, and 21 cucumber plants. She plants them in 8 rows, with the same number of plants in each row.<br \/>\n60 + 55 + 21 = 136<br \/>\n136\/8 = 17<\/p>\n<h3><a id=\"Multiplication_and_Division_Lesson_Check_-_Page_No._42\"><\/a>Problem Solving Multiplication and Division &#8211; On Your Own &#8211; Page No. 42<\/h3>\n<p>Question 5.<br \/>\nStarting on day 1 with 1 jumping jack, Keith doubles the number of jumping jacks he does every day. How many jumping jacks will Keith do on day 10?<br \/>\n____\u00a0 jumping jack<\/p>\n<p>Answer:<br \/>\n512 jumping jacks<\/p>\n<p>Explanation:<br \/>\nShe doubled the number so you&#8217;re supposed to multiply by 2.<br \/>\nOn day 1, 1 jumping pack;<br \/>\nOn day 2, 2 jumping packs;<br \/>\nOn day 3, 2 x 2 = 4 jumping packs;<br \/>\nOn day 4, 2 x 2 x 2 = 8 jumping packs;<br \/>\nOn day 5, 2 x 2 x 2 x 2 = 16 jumping packs;<br \/>\nOn day 6, 2 x 2 x 2 x 2 x 2 = 32 jumping packs;<br \/>\nOn day 7, 2 x 2 x 2 x 2 x 2 x 2 = 64 jumping packs;<br \/>\nOn day 8, 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 jumping packs;<br \/>\nOn day 9, 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256 jumping packs;<br \/>\nOn day 10, 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512 jumping packs;<br \/>\n512 jumping jacks<\/p>\n<p>Question 6.<br \/>\nStarting in the blue square, in how many different ways can you draw a line that passes through every square without picking up your pencil or crossing a line you\u2019ve already drawn? Show the ways.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-18.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Problem Solving Multiplication and Division img 18\" width=\"106\" height=\"106\" \/><br \/>\n____ ways<\/p>\n<p>Answer:<br \/>\n8 ways<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-4814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-9-300x92.jpg\" alt=\"Grade 5 Chapter 1 Image 9\" width=\"300\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-9-300x92.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-5-Chapter-1-Image-9.jpg 683w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n8 ways<\/p>\n<p>Question 7.<br \/>\nOn April 11, Millie bought a lawn mower with a 50-day guarantee. If the guarantee begins on the date of purchase, what is the first day on which the mower will no longer be guaranteed?<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMay 31<\/p>\n<p>Explanation:<br \/>\nThe guarantee begins on April 11. April has 30 days. So, we have 20 days of the guarantee in April.<br \/>\nMay has 31 days. So, we have 30 days of the guarantee in May.<br \/>\nTherefore, the last day of the guarantee is May 31.<\/p>\n<p>Question 8.<br \/>\nA classroom bulletin board is 7 feet by 4 feet. If there is a picture of a student every 6 inches along the edge, including one in each corner, how many pictures are on the bulletin board?<br \/>\n____ pictures<\/p>\n<p>Answer:<br \/>\n40 pictures<\/p>\n<p>Explanation:<br \/>\n2 pictures per foot, so that&#8217;s 14 pics along the top and bottom (counting the corners), and<br \/>\n6 pictures along each side (not counting the corners)<br \/>\n14+14+6+6 = 40<\/p>\n<p>Question 9.<br \/>\nDave wants to make a stone walkway. The rectangular walkway is 4 feet wide and 12 feet long. Each 2 foot by 2 foot stone covers an area of 4 square feet. How many stones will Dave need to make his walkway?<br \/>\n____ stones<\/p>\n<p>Answer:<br \/>\n12 stones<\/p>\n<p>Explanation:<br \/>\nArea of walkway = 4 x 12 = 48 square feet<br \/>\nArea of 1 stone = 2 x 2 = 4 square feet<br \/>\n48\/4 = 12 stones.<\/p>\n<p>Question 10.<br \/>\nTest Prep Dee has 112 minutes of recording time. How many 4-minute songs can she record?<br \/>\nOptions:<br \/>\nA. 28<br \/>\nB. 27<br \/>\nC. 18<br \/>\nD. 17<\/p>\n<p>Answer:<br \/>\nA. 28<\/p>\n<p>Explanation:<br \/>\nDee has 112 minutes of recording time. 112\/4 = 28<\/p>\n<h3><a id=\"Numerical_Expressions_-_Page_No._45\"><\/a>Numerical Expressions &#8211; Share and Show &#8211; Page No. 45<\/h3>\n<p><strong>Circle the expression that matches the words.<\/strong><\/p>\n<p>Question 1.<br \/>\nTeri had 18 worms. She gave 4 worms to Susie and 3 worms to Jamie.<br \/>\n(18 &#8211; 4) + 3\u00a0 \u00a0 \u00a0 \u00a0 \u00a018 &#8211; (4 + 3)<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n18 &#8211; (4 + 3)<\/p>\n<p>Explanation:<br \/>\nTeri had 18 worms. She gave 4 worms.<br \/>\n18 &#8211; 4 = 14.<br \/>\n3 worms to Jamie<br \/>\n14 &#8211; 3 = 11.<br \/>\n(18 &#8211; 4) + 3 = 14 + 3 = 17 not equal to 11;<br \/>\n18 &#8211; (4 + 3) = 18 &#8211; 7 = 11 = 11<\/p>\n<p>Question 2.<br \/>\nRick had $8. He then worked 4 hours for $5 each hour.<br \/>\n$8 + (4 \u00d7 $5)\u00a0 \u00a0 \u00a0 \u00a0($8 + 4) \u00d7 $5<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n$8 + (4 \u00d7 $5)<\/p>\n<p>Explanation:<br \/>\nRick had $8. He then worked 4 hours for $5 each hour = 4 x $5 = $20;<br \/>\n$20 +$8 =$28.<br \/>\n$8 + (4 \u00d7 $5) = 8 + 20 = $28 = $28.<\/p>\n<p><strong>Write an expression to match the words.<\/strong><\/p>\n<p>Question 3.<br \/>\nGreg drives 26 miles on Monday and 90 miles on Tuesday.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n26 + 90 = 116 miles<\/p>\n<p>Explanation:<br \/>\nGreg drives 26 miles on Monday and 90 miles on Tuesday. 26 + 90 = 116 miles<\/p>\n<p>Question 4.<br \/>\nLynda has 27 fewer fish than Jack. Jack has 80 fish.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n80 &#8211; 27 = 53<\/p>\n<p>Explanation:<br \/>\nLynda has 27 fewer fish than Jack. Jack has 80 fish. 80 &#8211; 27 = 53<\/p>\n<p><strong>Write words to match the expression.<\/strong><\/p>\n<p>Question 5.<br \/>\n34 &#8211; 17<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAnna has 17 fewer apples than Jack. Jack has 34 apples.<\/p>\n<p>Explanation:<br \/>\n34 &#8211; 17 = 17.<br \/>\nAnna has 17 fewer apples than Jack. Jack has 34 apples.<\/p>\n<p>Question 6.<br \/>\n6 \u00d7 (12 &#8211; 4)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nTeri had 12 worms. She gave 4 worms to Susie. She sell remaining worms for $6 each.<\/p>\n<p>Explanation:<br \/>\nTeri had 12 worms. She gave 4 worms to Susie. She sell remaining worms for $6 each.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Write an expression to match the words.<\/strong><\/p>\n<p>Question 7.<br \/>\nJos\u00e9 shared 12 party favors equally among 6 friends.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n12\/6 = 2<\/p>\n<p>Explanation:<br \/>\nJos\u00e9 shared 12 party favors equally among 6 friends. 12\/6 = 2<\/p>\n<p>Question 8.<br \/>\nBraden has 14 baseball cards. He finds 5 more baseball cards.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n14 + 5 = 19<\/p>\n<p>Explanation:<br \/>\nBraden has 14 baseball cards. He finds 5 more baseball cards. 14 + 5 = 19<\/p>\n<p>Question 9.<br \/>\nIsabelle bought 12 bottles of water at $2 each.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n12 x $2 = $24<\/p>\n<p>Explanation:<br \/>\nIsabelle bought 12 bottles of water at $2 each. 12 x $2 = $24<\/p>\n<p>Question 10.<br \/>\nMonique had $20. She spent $5 on lunch and $10 at the bookstore.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n20 &#8211; (5 + 10)<\/p>\n<p>Explanation:<br \/>\nMonique had $20. She spent $5 on lunch and $10 at the bookstore. 20 &#8211; (5 + 10)<\/p>\n<p><strong>Write words to match the expression.<\/strong><\/p>\n<p>Question 11.<br \/>\n36 \u00f7 9<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAnna shared 36 apples to 9 friends.<\/p>\n<p>Question 12.<br \/>\n35 &#8211; (16 + 11)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMonique had 35 balls. She gave 16 to her one frined and 11 to other friend.<\/p>\n<p><strong>Draw a line to match the expression with the words.<\/strong><\/p>\n<p>Question 13.<br \/>\nFred catches 25 fish. Then he<br \/>\nreleases 10 fish and catches 8 more.\u00a0 \u00a0 \u00a0\u2022\u00a0 \u00a0 \u00a0 \u00a0 \u20223 \u00d7 (15 &#8211; 6)<\/p>\n<p>Nick has 25 pens. He gives 10 pens to<br \/>\none friend and 8 pens to another friend.\u00a0 \u2022\u00a0 \u00a0 \u00a0\u202215 &#8211; 6<\/p>\n<p>Jan catches 15 fish and lets 6 fish go.\u00a0 \u00a0 \u00a0 \u00a0\u2022\u00a0 \u00a0 \u00a0\u202225 &#8211; (10 + 8)<\/p>\n<p>Libby catches 15 fish and lets 6 fish go<br \/>\nfor three days in a row.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2022\u00a0 \u00a0 \u00a0\u2022(25 &#8211; 10) + 8<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nFred catches 25 fish. Then he releases 10 fish and catches 8 more = (25 &#8211; 10) + 8<br \/>\nNick has 25 pens. He gives 10 pens to one friend and 8 pens to another friend = 25 &#8211; (10 + 8)<br \/>\nJan catches 15 fish and lets 6 fish go = 15 &#8211; 6<br \/>\nLibby catches 15 fish and lets 6 fish go for three days in a row = 3 \u00d7 (15 &#8211; 6)<\/p>\n<h3><a id=\"Numerical_Expressions_Lesson_Check_-_Page_No._46\"><\/a>Numerical Expressions &#8211; Problem Solving &#8211; Page No. 46<\/h3>\n<p><strong>Use the rule and the table for 14.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-19.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Numerical Expressions img 19\" width=\"444\" height=\"279\" \/><\/p>\n<p>Question 14.<br \/>\nWrite a numerical expression to represent the total number of lemon tetras that could be in a 20-gallon aquarium.<br \/>\n_____ lemon tetras<\/p>\n<p>Answer:<br \/>\n2 lemon tetras<\/p>\n<p>Explanation:<br \/>\nFrom the given data, increase each inch of lenth, 1 gallon of water increases.<br \/>\n2 + 3 + 5 + 3 + 5 = 18 inches. So, 18 gallon of water available in aquarium. Add 1 lemon tetra to get the 20 gallon of water. So, in total there are 2 lemon tetra available.<\/p>\n<p>Question 15.<br \/>\nWrite a word problem for an expression that is three times as great as (15 + 7). Then write the expression.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 x (15 + 7)<\/p>\n<p>Explanation:<br \/>\nGiven that that is three times as great as (15 + 7)<\/p>\n<p>Question 16.<br \/>\nWhat\u2019s the Question? Lu has 3 swordtails in her aquarium. She buys 2 more swordtails.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n3 + 2 = 5<\/p>\n<p>Explanation:<br \/>\nLu has 3 swordtails in her aquarium. She buys 2 more swordtails. So, 3 + 2 = 5 swordtails<\/p>\n<p>Question 17.<br \/>\nTammy gives 45 stamps to her 9 friends. She shares them equally among her friends. Write an expression to match the words. How many stamps does each friend get?<br \/>\n_____ stamps<\/p>\n<p>Answer:<br \/>\n45\/9 = 5 stamps<\/p>\n<p>Explanation:<br \/>\nTammy gives 45 stamps to her 9 friends. 45\/9 = 5.<\/p>\n<p>Question 18.<br \/>\nTest Prep Josh has 3 fish in each of 5 buckets. Then he releases 4 fish. Which expression matches the words?<br \/>\nOptions:<br \/>\na. (3 \u00d7 4) &#8211; 5<br \/>\nb. (5 \u00d7 4) &#8211; 3<br \/>\nc. (5 \u00d7 3) &#8211; 4<br \/>\nd. (5 &#8211; 3) \u00d7 4<\/p>\n<p>Answer:<br \/>\nc. (5 \u00d7 3) &#8211; 4<\/p>\n<p>Explanation:<br \/>\nJosh has 3 fish in each of 5 buckets. 3 x 5.<br \/>\nThen he releases 4 fish. (3 x 5) &#8211; 4<\/p>\n<h3><a id=\"Evaluate_Numerical_Expressions_-_Page_No._49\"><\/a>Evaluate Numerical Expressions &#8211; Share and Show &#8211; Page No. 49<\/h3>\n<p><strong>Evaluate the numerical expression.<\/strong><\/p>\n<p>Question 1.<br \/>\n10 + 36 \u00f7 9<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n14<\/p>\n<p>Explanation:<br \/>\n10 + 36 \u00f7 9 = 10 + (36 \u00f7 9) = 10 + 4 = 14<\/p>\n<p>Question 2.<br \/>\n10 + (25 &#8211; 10) \u00f7 5<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n13<\/p>\n<p>Explanation:<br \/>\n10 + (25 &#8211; 10) \u00f7 5 = 10 + 15 \u00f7 5 = 10 + (15 \u00f7 5) = 10 + 3 = 13<\/p>\n<p>Question 3.<br \/>\n9 &#8211; (3 \u00d7 2) + 8<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n11<\/p>\n<p>Explanation:<br \/>\n9 &#8211; (3 \u00d7 2) + 8 = 9 &#8211; 6 + 8 = 3 + 8 = 11<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Evaluate the numerical expression.<\/strong><\/p>\n<p>Question 4.<br \/>\n(4 + 49) &#8211; 4 \u00d7 10<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n13<\/p>\n<p>Explanation:<br \/>\n(4 + 49) &#8211; 4 \u00d7 10 = 53 &#8211; 4 x 10 = 53 &#8211; (4 x 10) = 53 &#8211; 40 = 13<\/p>\n<p>Question 5.<br \/>\n5 + 17 &#8211; 100 \u00f7 5<br \/>\n_____<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\n5 + 17 &#8211; 100 \u00f7 5 = (5 + 17) &#8211; (100 \u00f7 5) = 22 &#8211; 20 = 2<\/p>\n<p>Question 6.<br \/>\n36 &#8211; (8 + 5)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n23<\/p>\n<p>Explanation:<br \/>\n36 &#8211; (8 + 5) = 36 &#8211; 13 = 23<\/p>\n<p>Question 7.<br \/>\n125 &#8211; (68 + 7)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n50<\/p>\n<p>Explanation:<br \/>\n125 &#8211; (68 + 7) = 125 &#8211; 75 = 50<\/p>\n<p>Question 8.<br \/>\n(4 \u00d7 6) &#8211; 12<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n12<\/p>\n<p>Explanation:<br \/>\n(4 \u00d7 6) &#8211; 12 = 24 &#8211; 12 = 12<\/p>\n<p>Question 9.<br \/>\n3 \u00d7 (22 &#8211; 2)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n60<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 (22 &#8211; 2) = 3 x 20 = 60<\/p>\n<p>Question 10.<br \/>\n23 + (16 &#8211; 7)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n32<\/p>\n<p>Explanation:<br \/>\n23 + (16 &#8211; 7) = 23 + 9 = 32<\/p>\n<p>Question 11.<br \/>\n(25 &#8211; 4) \u00f7 3<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n7<\/p>\n<p>Explanation:<br \/>\n(25 &#8211; 4) \u00f7 3 = 21 \u00f7 3 = 7<\/p>\n<p><strong>Rewrite the expression with parentheses to equal the given value.<\/strong><\/p>\n<p>Question 12.<br \/>\n100 &#8211; 30 \u00f7 5<br \/>\nvalue: 14<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n(100 &#8211; 30) \u00f7 5 = 14<\/p>\n<p>Explanation:<br \/>\n100 &#8211; 30 \u00f7 5 = (100 &#8211; 30) \u00f7 5 = 70 \u00f7 5 = 14<\/p>\n<p>Question 13.<br \/>\n12 + 17 &#8211; 3 \u00d7 2<br \/>\nvalue: 23<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n23<\/p>\n<p>Explanation:<br \/>\n(12 + 17) &#8211; (3 \u00d7 2) = 29 &#8211; 6 = 23<\/p>\n<p>Question 14.<br \/>\n9 + 5 \u00f7 5 + 2<br \/>\nvalue: 12<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n12<\/p>\n<p>Explanation:<br \/>\n9 + (5 \u00f7 5) + 2 = 9 + 1 + 2 = 12<\/p>\n<h3><a id=\"Evaluate_Numerical_Expressions_Lesson_Check_-_Page_No._50\"><\/a>Evaluate Numerical Expressions &#8211; UNLOCK the Problem &#8211; Page No. 50<\/h3>\n<p>Question 15.<br \/>\nA movie theater has 4 groups of seats. The largest group of seats, in the middle, has 20 rows, with 20 seats in each row. There are 2 smaller groups of seats on the sides, each with 20 rows and 6 seats in each row. A group of seats in the back has 5 rows, with 30 seats in each row. How many seats are in the movie theater?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-20.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Evaluate Numerical Expressions img 20\" width=\"222\" height=\"177\" \/><br \/>\na. What do you need to know?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nWe have to know the number of seats in each row to calculate the total number of seats.<\/p>\n<p>Question 15.<br \/>\nb. What operation can you use to find the number of seats in the back group of seats? Write the expression.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nA group of seats in the back has 5 rows with 30 seats in each row. So, to calculate the number of seats, we can use multiplication.<\/p>\n<p>Question 15.<br \/>\nc. What operation can you use to find the number of seats in both groups of side seats? Write the expression.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n2 x (20 x 6) = 2 x 120 = 240<\/p>\n<p>Question 15.<br \/>\nd. What operation can you use to find the number of seats in the middle group? Write the expression.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n20 x 20 = (2 x 2) x (10 x 10) = 4 x 100 = 400<\/p>\n<p>Question 15.<br \/>\ne. Write an expression to represent the total number of seats in the theater.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n(20 x 20) + (2 x 20 x 6) + (5 x 30)<\/p>\n<p>Question 15.<br \/>\nf. How many seats are in the theater? Show the steps you use to solve the problem.<br \/>\n_____ seats<\/p>\n<p>Answer:<br \/>\n(20 x 20) + (2 x 20 x 6) + (5 x 30) = 400 + 240 + 150 = 640 + 150 = 790<\/p>\n<p>Question 16.<br \/>\nTest Prep In the wild, an adult giant panda eats about 30 pounds of food each day. Which expression shows how many pounds of food 6 pandas eat in 3 days?<br \/>\nOptions:<br \/>\na. 3 + (30 \u00d7 6)<br \/>\nb. 3 \u00d7 (30 \u00d7 6)<br \/>\nc. (30 \u00d7 6) \u00f7 3<br \/>\nd. (30 \u00d7 6) &#8211; 3<\/p>\n<p>Answer:<br \/>\nb. 3 \u00d7 (30 \u00d7 6)<\/p>\n<p>Explanation:<br \/>\n1 panda eats 30 pounds of food each day.<br \/>\nfor 3 days, 3 x 30 = 90<br \/>\n1 panda eats 90 pounds of food in 3 days.<br \/>\n6 pandas can eat 90 x 6 = 540 pounds.<br \/>\n3 + (180) = 183 not equal to 540 pounds.<br \/>\n3 x (30 x 6) = 3 x (180) = 540<\/p>\n<p>Question 17.<br \/>\nTest Prep Which expression has a value of 6?<br \/>\nOptions:<br \/>\na. (6 \u00f7 3) \u00d7 4 + 8<br \/>\nb. 27 &#8211; 9 \u00f7 3 \u00d7 ( 4 + 1)<br \/>\nc. (18 + 12) \u00d7 6 &#8211; 4<br \/>\nd. 71 &#8211; 5 \u00d7 (9 + 4)<\/p>\n<p>Answer:<br \/>\nd. 71 &#8211; 5 \u00d7 (9 + 4)<\/p>\n<p>Explanation:<br \/>\n(6 \u00f7 3) \u00d7 4 + 8 = 2 x 4 + 8 = 8 + 8 = 16<br \/>\n27 &#8211; 9 \u00f7 3 \u00d7 ( 4 + 1) = 27 &#8211; (9 \u00f7 3) \u00d7 5 = 27 &#8211; 3 x 5 = 27 &#8211; 15 = 12<br \/>\n(18 + 12) \u00d7 6 &#8211; 4 = 180 &#8211; 4 = 176<br \/>\n71 &#8211; 5 \u00d7 (9 + 4) = 71 &#8211; (5 x 13) = 71 &#8211; 65 = 6<\/p>\n<h3><a id=\"Grouping_Symbols_-_Page_No._53\"><\/a>Grouping Symbols &#8211; Share and Show &#8211; Page No. 53<\/h3>\n<p><strong>Evaluate the numerical expression.<\/strong><\/p>\n<p>Question 1.<br \/>\n12 + [(15 &#8211; 5) + (9 &#8211; 3)]<br \/>\n12 + [10 + ____]<br \/>\n12 +____<br \/>\n____<\/p>\n<p>Answer:<br \/>\n12 + [(15 &#8211; 5) + (9 &#8211; 3)]<br \/>\n12 + [10 + 6]<br \/>\n12 + 16<br \/>\n28<\/p>\n<p>Question 2.<br \/>\n5 \u00d7 [(26 &#8211; 4) &#8211; (4 + 6)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n5 \u00d7 [(26 &#8211; 4) &#8211; (4 + 6)]<br \/>\n5 x [22 &#8211; 10]<br \/>\n5 x 12 = 60<\/p>\n<p>Question 3.<br \/>\n36 \u00f7 [(18 &#8211; 10) &#8211; (8 &#8211; 6)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n36 \u00f7 [(18 &#8211; 10) &#8211; (8 &#8211; 6)]<br \/>\n36 \u00f7 [8 &#8211; 2]<br \/>\n36 \u00f7 6 = 6<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Evaluate the numerical expression.<\/strong><\/p>\n<p>Question 4.<br \/>\n4 + [(16 &#8211; 4) + (12 &#8211; 9)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n4 + [(16 &#8211; 4) + (12 &#8211; 9)]<br \/>\n4 + [12 + 3]<br \/>\n4 + 15 = 19<\/p>\n<p>Question 5.<br \/>\n24 &#8211; [(10 &#8211; 7) + (16 &#8211; 9)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n24 &#8211; [(10 &#8211; 7) + (16 &#8211; 9)]<br \/>\n24 &#8211; [3 + 7] = 24 &#8211; 10 = 14<\/p>\n<p>Question 6.<br \/>\n16 \u00f7 [(13 + 7) &#8211; (12 + 4)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n16 \u00f7 [(13 + 7) &#8211; (12 + 4)]<br \/>\n16 \u00f7 [20 &#8211; 16]<br \/>\n16 \u00f7 4 = 4<\/p>\n<p>Question 7.<br \/>\n5 \u00d7 [(7 &#8211; 2) + (10 &#8211; 8)]<br \/>\n____<\/p>\n<p>Answer:<br \/>\n5 \u00d7 [(7 &#8211; 2) + (10 &#8211; 8)]<br \/>\n5 x [5 + 2]<br \/>\n5 x 7 = 35<\/p>\n<p>Question 8.<br \/>\n[(17 + 8) + (29 &#8211; 12)] \u00f7 6<br \/>\n____<\/p>\n<p>Answer:<br \/>\n[(17 + 8) + (29 &#8211; 12)] \u00f7 6<br \/>\n[25 + 17] \u00f7 6<br \/>\n42 \u00f7 6 = 7<\/p>\n<p>Question 9.<br \/>\n[(6 \u00d7 7) + (3 \u00d7 4)] &#8211; 28<br \/>\n____<\/p>\n<p>Answer:<br \/>\n[(6 \u00d7 7) + (3 \u00d7 4)] &#8211; 28<br \/>\n[42 + 12] &#8211; 28<br \/>\n54 &#8211; 28 = 26<\/p>\n<p>Question 10.<br \/>\n3 \u00d7 {[(12 &#8211; 8) \u00d7 2] + [(11 &#8211; 9) \u00d7 3]}<br \/>\n____<\/p>\n<p>Answer:<br \/>\n3 \u00d7 {[(12 &#8211; 8) \u00d7 2] + [(11 &#8211; 9) \u00d7 3]}<br \/>\n3 x {[4 x 2] + [2 x 3]}<br \/>\n3 x {8 + 6}<br \/>\n3 x 14 = 42<\/p>\n<p>Question 11.<br \/>\n{[(3 \u00d7 4) + 18] + [(6 \u00d7 7) &#8211; 27]} \u00f7 5<br \/>\n____<\/p>\n<p>Answer:<br \/>\n{[(3 \u00d7 4) + 18] + [(6 \u00d7 7) &#8211; 27]} \u00f7 5<br \/>\n{[12 + 18] + [42 &#8211; 27]} \u00f7 5<br \/>\n{30 + 15} \u00f7 5<br \/>\n45 \u00f7 5 = 9<\/p>\n<h3><a id=\"Grouping_Symbols_Lesson_Check_-_Page_No._54\"><\/a>Grouping Symbols &#8211; UNLOCK the Problem &#8211; Page No. 54<\/h3>\n<p>Question 12.<br \/>\nDan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the<br \/>\nrest. What expression can you use to find out how many roses and carnations Dan sells in a week?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-21.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Place Value, Multiplication, and Expressions; Grouping Symbols img 21\" width=\"209\" height=\"283\" \/><br \/>\na. What information are you given?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nEach day, Dan displays 24 roses (gives away 10 and sells the rest), and he displays 36 carnations (gives away 12 and selles the rest).<\/p>\n<p>Question 12.<br \/>\nb. What are you being asked to do?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nWe have to find out how many roses and carnations Dan sells in a week.<\/p>\n<p>Question 12.<br \/>\nc. What expression shows how many roses Dan sells in one day?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n24 &#8211; 10 = 14 roses<\/p>\n<p>Question 12.<br \/>\nd. What expression shows how many carnations Dan sells in one day?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n36 &#8211; 12 = 24 carnation<\/p>\n<p>Question 12.<br \/>\ne. Write an expression to represent the total number of roses and carnations Dan sells in one day.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n(24 &#8211; 10) + (36 &#8211; 12) = 14 + 24 = 38 roses and carnations<\/p>\n<p>Question 12.<br \/>\nf. Write the expression that shows how many roses and carnations Dan sells in a week.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n7 x ((24 &#8211; 10) + (36 &#8211; 12)) = 7 x (14 + 24) = 7 x 38 = 266 roses and carnations<\/p>\n<p>Question 13.<br \/>\nEvaluate the expression to find out how many roses and carnations Dan sells in a week.<br \/>\n____ flowers<\/p>\n<p>Answer:<br \/>\n7 x ((24 &#8211; 10) + (36 &#8211; 12))<br \/>\n7 x (14 + 24)<br \/>\n7 x 38 = 266 roses and carnations<\/p>\n<p>Explanation:<\/p>\n<p>Question 14.<br \/>\nTest Prep Which expression has a value of 4?<br \/>\nOptions:<br \/>\na. [(4 \u00d7 5) + (9 + 7)] + 9<br \/>\nb. [(4 \u00d7 5) + (9 + 7)] \u00f7 9<br \/>\nc. [(4 \u00d7 5) &#8211; (9 + 7)] \u00d7 9<br \/>\nd. [(4 + 5) + (9 + 7)] &#8211; 9<\/p>\n<p>Answer:<br \/>\nb. [(4 \u00d7 5) + (9 + 7)] \u00f7 9<\/p>\n<p>Explanation:<br \/>\n[(4 \u00d7 5) + (9 + 7)] + 9 = [20 + 16] + 9 = 36 + 9 = 45<br \/>\n[(4 \u00d7 5) + (9 + 7)] \u00f7 9 = [20 + 16] \u00f7 9 = 36 \u00f7 9 = 4<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._55\"><\/a>Chapter Review\/Test &#8211; Vocabulary &#8211; Page No. 55<\/h3>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-22.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Chapter Review\/Test img 22\" width=\"384\" height=\"221\" \/><\/p>\n<p>Question 1.<br \/>\nThe ____ states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nDistributive Property<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Complete the sentence.<\/strong><\/p>\n<p>Question 2.<br \/>\n7,000 is 10 times as much as _____<\/p>\n<p>Answer:<br \/>\n700<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n7,000 = 10S<br \/>\nS = 7,000\/10 = 700.<br \/>\n7,000 is 10 times as much as 700.<\/p>\n<p>Question 3.<br \/>\n50 is \\(\\frac{1}{10}\\) of _____<\/p>\n<p>Answer:<br \/>\n500<\/p>\n<p>Explanation:<br \/>\nLet the unknown number is S.<br \/>\n50 = \\(\\frac{1}{10}\\) S<br \/>\nS = 50 X 10 = 500<\/p>\n<p><strong>Complete the equation, and tell which property you used.<\/strong><\/p>\n<p>Question 4.<br \/>\n4 \u00d7 (12 + 14) =<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n104; Distributive Property of Multiplication<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 (12 + 14) = (4 x 12) + (4 x 14) = 48 + 56 = 104; Distributive Property of Multiplication<\/p>\n<p>Question 5.<br \/>\n45 + 16 =__ + 45<br \/>\nType below:<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n45 + 16 = 16 + 45; Commutative Property of Addition<\/p>\n<p>Explanation:<br \/>\n45 + 16 = 16 + 45; Commutative Property of Addition<\/p>\n<p><strong>Find the value.<\/strong><\/p>\n<p>Question 6.<br \/>\n10<sup>2<\/sup> = _____<\/p>\n<p>Answer:<br \/>\n100<\/p>\n<p>Explanation:<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<\/p>\n<p>Question 7.<br \/>\n3 \u00d7 10<sup>4<\/sup> = _____<\/p>\n<p>Answer:<br \/>\n30,000<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 10<sup>4<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n3 x 10,000 = 30,000<\/p>\n<p>Question 8.<br \/>\n8 \u00d7 10<sup>3<\/sup> = _____<\/p>\n<p>Answer:<br \/>\n8,000<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 10<sup>3<\/sup><br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n8 x 1,000 = 8,000<\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 9.<br \/>\nEstimate:<br \/>\n5 7 9<br \/>\n\u00d7\u00a0 \u00a06<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: _____ Product: _____<\/p>\n<p>Answer:<br \/>\nEstimate: 3,600<br \/>\nProduct: 3,474<\/p>\n<p>Explanation:<br \/>\nEstimate: 579 is close to 600;<br \/>\n600 x 6 = 3,600<br \/>\n579 x 6<br \/>\n6 x 9 =54; add ones and regroup tens<br \/>\n6 x 7 = 42; 42 + 5 = 47; add tens and regroup hundreds<br \/>\n6 x 5 = 30; 30 + 4 = 34<br \/>\nSo, 3,474 is the product<\/p>\n<p>Question 10.<br \/>\nEstimate:<br \/>\n7,316<br \/>\n\u00d7\u00a0 \u00a0 6<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: _____ Product: _____<\/p>\n<p>Answer:<br \/>\nEstimate: 42,000<br \/>\nProduct: 43,986<\/p>\n<p>Explanation:<br \/>\nEstimate: 7,316 is close to 7,000;<br \/>\n7,000 x 6 = 42,000<br \/>\n7,316 x 6<br \/>\n6 x 6 = 36; add ones and regroup tens<br \/>\n6 x 1 = 6; 6 + 3 = 18; add tens and regroup hundreds<br \/>\n6 x 3 = 18; 18 + 1 = 19; add hundreds and regroup thousads<br \/>\n6 x 7 = 42; 42 + 1 = 43<br \/>\nSo, 43,986 is the product<\/p>\n<p>Question 11.<br \/>\nEstimate:<br \/>\n4 3 6<br \/>\n\u00d7 3 2<br \/>\n&#8212;&#8212;&#8212;-<br \/>\nEstimate: _____ Product: _____<\/p>\n<p>Answer:<br \/>\nEstimate: 12,000<br \/>\nProduct: 13,952<\/p>\n<p>Explanation:<br \/>\nEstimate: 436 is close to 400; 32 is close to 30<br \/>\n400 x 30 = 12,000<br \/>\n436 x 32;<br \/>\n436 x 2 = 872<br \/>\n436 x 30 = 13,080<br \/>\n13,080 + 872 = 13,952<\/p>\n<p><strong>Use multiplication and the Distributive Property to find the quotient.<\/strong><\/p>\n<p>Question 12.<br \/>\n54 \u00f7 3 = _____<\/p>\n<p>Answer:<br \/>\n18<\/p>\n<p>Explanation:<br \/>\n54 \u00f7 3<br \/>\n(27 + 27) \u00f7 3 = (27 \u00f7 3) + (27 \u00f7 3) = 9 + 9 = 18<br \/>\n3 x 18 = 3 x (9+ 9) = (3 x 9) + (3 x 9) = 27 + 27 = 54<\/p>\n<p>Question 13.<br \/>\n90 \u00f7 5 = _____<\/p>\n<p>Answer:<br \/>\n18<\/p>\n<p>Explanation:<br \/>\n90 \u00f7 5<br \/>\n(45 + 45) \u00f7 5 = (45 \u00f7 5) + (45 \u00f7 5) = 9 + 9 = 18<br \/>\n5 x 18 = 5 x (9+ 9) = (5 x 9) + (5 x 9) = 45 + 45 = 90<\/p>\n<p>Question 14.<br \/>\n96 \u00f7 6 = _____<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<br \/>\n96 \u00f7 6<br \/>\n(48 + 48) \u00f7 6 = (48 \u00f7 6) + (48 \u00f7 6) = 8 + 8 = 16<br \/>\n6 x 16 = 6 x (8 + 8) = (6 x 8) + (6 x 8) = 48 + 48 = 96<\/p>\n<p><strong>Evaluate the numerical expression.<\/strong><\/p>\n<p>Question 15.<br \/>\n42 \u2212 (9 + 6) = _____<\/p>\n<p>Answer:<br \/>\n42 \u2212 (9 + 6)<br \/>\n42 &#8211; 15<br \/>\n27<\/p>\n<p>Question 16.<br \/>\n15 + (22 \u2212 4) \u00f7 6 = _____<\/p>\n<p>Answer:<br \/>\n15 + (22 \u2212 4) \u00f7 6<br \/>\n15 + (18 \u00f7 6)<br \/>\n15 + 3<br \/>\n18<\/p>\n<p>Question 17.<br \/>\n6 \u00d7 [(5 \u00d7 7) \u2212 (7 + 8)] = _____<\/p>\n<p>Answer:<br \/>\n6 \u00d7 [(5 \u00d7 7) \u2212 (7 + 8)]<br \/>\n6 x [35 &#8211; 15]<br \/>\n6 x [20]<br \/>\n120<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._56\"><\/a>Chapter Review\/Test &#8211; Page No. 56<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 18.<br \/>\nErica\u2019s high score on her new video game is 30,000 points. Maria\u2019s high score is \\(\\frac{1}{10}\\) of Erica\u2019s. How many points did Maria score?<br \/>\nOptions:<br \/>\nA. 30<br \/>\nB. 300<br \/>\nC. 3,000<br \/>\nD. 30,000<\/p>\n<p>Answer:<br \/>\nC. 3,000<\/p>\n<p>Explanation:<br \/>\nErica\u2019s high score on her new video game is 30,000 points. Maria\u2019s high score is \\(\\frac{1}{10}\\) of Erica\u2019s.<br \/>\n30,000 x \\(\\frac{1}{10}\\) = 3,000<\/p>\n<p>Question 19.<br \/>\nRich makes $35 a week mowing lawns in his neighborhood. Which expression can be used to show how much money he makes in 8 weeks?<br \/>\nOptions:<br \/>\nA. (8 \u00d7 30) + (8 \u00d7 5)<br \/>\nB. (8 \u00d7 30) + (8 \u00d7 5)<br \/>\nC. (8 + 30) \u00d7 (8 + 5)<br \/>\nD. (8 \u00d7 30) \u00d7 (8 \u00d7 5)<\/p>\n<p>Answer:<br \/>\nB. (8 \u00d7 30) + (8 \u00d7 5)<\/p>\n<p>Explanation:<br \/>\nRich makes $35 a week mowing lawns in his neighborhood.<br \/>\n8 x $35 = 8 x (30 + 5) = (8 x 30) + (8 x 5)<\/p>\n<p>Question 20.<br \/>\nMr. Rodriguez bought a supply of 20 reams of printer paper. Each ream contains 500 sheets of paper. How many sheets of printer paper are there?<br \/>\nOptions:<br \/>\nA. 1,000<br \/>\nB. 5,000<br \/>\nC. 10,000<br \/>\nD. 100,000<\/p>\n<p>Answer:<br \/>\nC. 10,000<\/p>\n<p>Explanation:<br \/>\nMr. Rodriguez bought a supply of 20 reams of printer paper. Each ream contains 500 sheets of paper.<br \/>\n500 x 20 = 10,000<\/p>\n<p>Question 21.<br \/>\nHarvester ants are common in the southwestern United States. A single harvester ant colony may have as many as 90,000 members. What is that number written as a whole number multiplied by a power of ten?<br \/>\nOptions:<br \/>\nA. 9 \u00d7 10<sup>4<\/sup><br \/>\nB. 9 \u00d7 10<sup>3<\/sup><br \/>\nC. 9 \u00d7 10<sup>2<\/sup><br \/>\nD. 9 \u00d7 10<sup>1<\/sup><\/p>\n<p>Answer:<br \/>\nA. 9 \u00d7 10<sup>4<\/sup><\/p>\n<p>Explanation:<br \/>\nHarvester ants are common in the southwestern United States. A single harvester ant colony may have as many as 90,000 members.<br \/>\n90,000<br \/>\n10<sup>0<\/sup> = 1;<br \/>\n10<sup>1<\/sup> = 1 x 10 = 10;<br \/>\n10<sup>2<\/sup> = 10 x 10 = 100;<br \/>\n10<sup>3<\/sup> = 10 x 10 x 10 = 1,000;<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 = 10,000;<br \/>\n9 x 10,000 = 90,000 = 9 x 10<sup>4<\/sup><\/p>\n<h3><a id=\"Review\/Test_-_Page_No._57\"><\/a>Chapter Review\/Test &#8211; Page No. 57<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 22.<br \/>\nMegan used the following expression to find the quotient of a division problem.<br \/>\n(4 \u00d7 12) + (4 \u00d7 6)<br \/>\nWhat was the division problem and the quotient?<br \/>\nOptions:<br \/>\nA. 24 \u00f7 4 = 6<br \/>\nB. 48 \u00f7 4 = 12<br \/>\nC. 64 \u00f7 4 = 16<br \/>\nD. 72 \u00f7 4 = 18<\/p>\n<p>Answer:<br \/>\nD. 72 \u00f7 4 = 18<\/p>\n<p>Explanation:<br \/>\nMegan used (4 \u00d7 12) + (4 \u00d7 6)<br \/>\n4 x (12 + 6)<br \/>\n4 x 18 = 72<br \/>\n72 \u00f7 4 = 18<\/p>\n<p>Question 23.<br \/>\nIt is 1,325 feet from Kinsey\u2019s house to her school. Kinsey walks to school each morning and gets a ride home each afternoon. How many feet does Kinsey walk to school in 5 days?<br \/>\nOptions:<br \/>\nA. 6,725 feet<br \/>\nB. 6,625 feet<br \/>\nC. 6,525 feet<br \/>\nD. 5,625 feet<\/p>\n<p>Answer:<br \/>\nB. 6,625 feet<\/p>\n<p>Explanation:<br \/>\nIt is 1,325 feet from Kinsey\u2019s house to her school. Kinsey walks to school each morning and gets a ride home each afternoon.<br \/>\n1,325 feet x 5 = 6,625 feet<\/p>\n<p>Question 24.<br \/>\nAn adult elephant eats about 300 pounds of food each day. Which expression shows about how many pounds of food a herd of 12 elephants eats in 5 days?<br \/>\nOptions:<br \/>\nA. 5 + (300 \u00d7 12)<br \/>\nB. 5 \u00d7 (300 \u00d7 12)<br \/>\nC. (300 \u00d7 12) \u00f7 5<br \/>\nD. (300 \u00d7 12) \u2212 5<\/p>\n<p>Answer:<br \/>\nB. 5 \u00d7 (300 \u00d7 12)<\/p>\n<p>Explanation:<br \/>\nAn adult elephant eats about 300 pounds of food each day.<br \/>\n(300 x 12)<br \/>\nIn 5 days, 5 \u00d7 (300 \u00d7 12)<\/p>\n<p>Question 25.<br \/>\nCarla can type 265 characters a minute on her computer keyboard. At that rate, how many characters can she type in 15 minutes?<br \/>\nOptions:<br \/>\nA. 2,975<br \/>\nB. 3,875<br \/>\nC. 3,905<br \/>\nD. 3,975<\/p>\n<p>Answer:<br \/>\nD. 3,975<\/p>\n<p>Explanation:<br \/>\nCarla can type 265 characters a minute on her computer keyboard.<br \/>\nIn 15 minutes, 265 x 15 = 3,975<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._58\"><\/a>Chapter Review\/Test &#8211; Page No. 58<\/h3>\n<p><strong>Constructed Response<\/strong><\/p>\n<p>Question 26.<br \/>\nDonavan copied the problem below from the board. He missed one of the numbers needed to show his work. What number is missing in his work? Explain how you found the missing number<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-5-Answer-Key-Chapter-1-Place-Value-Multiplication-and-Expressions-img-23.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions Chapter Review\/Test img 23\" width=\"314\" height=\"196\" \/><br \/>\n17 \u00d7 5 = ( ______ +7) \u00d7 5<br \/>\n= ( ______ \u00d7 5) + (7 \u00d7 5)<\/p>\n<p>Answer:<br \/>\nMissing number is 10. Using the Distributive Property, the sum of the two number within the () has to be equal to the other factor 17.<br \/>\n10 + 7 = 17<br \/>\n17 \u00d7 5 = ( 10 +7) \u00d7 5<br \/>\n= ( 10 \u00d7 5) + (7 \u00d7 5)<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Question 27.<br \/>\nDrew\u2019s weekly allowance is $8.00. His friend Jan\u2019s weekly allowance is $10. Drew spends $3 a week and Jan spends $4 a week.<br \/>\nA. Write two expressions to show how much money each person has at the end of the week. Use parentheses.<br \/>\nDrew has __ .<br \/>\nJan has __ .<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nDrew has ($8 &#8211; $3) .<br \/>\nJan has ($10 &#8211; $4).<\/p>\n<p>Question 27.<br \/>\nB. Drew and Jan decide that they want to put their money together to buy a video game. Write an expression that shows how much they can save each week. Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n(8 &#8211; 3) + (10 &#8211; 4); Add the amount of money Drew and Jan have at the end of the week. This equals the amount they can save a week.<\/p>\n<p>Question 27.<br \/>\nC. The video game Drew and Jan want to buy costs $55. Write an expression to show how many weeks it will take them to save enough to buy the video game. Use parentheses and brackets in your expression. Then evaluate the expression.<br \/>\n_____ weeks<\/p>\n<p>Answer:<br \/>\n55 \u00f7 [(8 &#8211; 3) +(10 &#8211; 4)]<br \/>\n55 \u00f7 [5 + 6]<br \/>\n55 \u00f7 11<br \/>\n5<br \/>\nIt will take them 5 weeks to save the money from the game.<\/p>\n<h3>Conclusion:<\/h3>\n<p>You need not look everywhere to seek assistance regarding Go Math Grade 5 Ch 1. Simply access Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions and know how to approach while solving different problems on the related concepts.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Help your kid be on the track and ensure him Math Proficiency with our Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions. Go Math Grade 5 Chapter 1 Place Value, Multiplication, and Expressions Answer Key enhances your subject knowledge. Use the Best resource Go Math Grade 5 Chapter 1 Answer &#8230; <a title=\"Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-1-place-value-multiplication-and-expressions\/\" aria-label=\"More on Go Math Grade 5 Answer Key Chapter 1 Place Value, Multiplication, and Expressions\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":8844,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-5-chapter-1-place-value-multiplication-and-expressions-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4047"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=4047"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4047\/revisions"}],"predecessor-version":[{"id":92741,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4047\/revisions\/92741"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8844"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=4047"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=4047"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=4047"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}