{"id":2638,"date":"2022-03-26T18:55:31","date_gmt":"2022-03-26T13:25:31","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=2638"},"modified":"2022-04-07T14:26:36","modified_gmt":"2022-04-07T08:56:36","slug":"go-math-grade-4-answer-key-homework-practice-fl-chapter-2-multiply-by-1-digit-numbers","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-homework-practice-fl-chapter-2-multiply-by-1-digit-numbers\/","title":{"rendered":"Go Math Grade 4 Answer Key Homework Practice FL Chapter 2 Multiply by 1-Digit Numbers"},"content":{"rendered":"

Hello Kids! Here is\u00a0Go Math Grade 4 Answer Key Homework Practice FL Chapter 2 Multiply by 1-Digit Numbers in pdf. Without wasting any time just refer to the Ch 2 Answer Key of Go Math Grade 4 and gain proper knowledge about the concept. Go Math Grade 4 Answer Key<\/a> provided here will increase your Mathematical skills and support parents to understand the concept and educate their children effectively. So, get into these online chapter 2 Multiply by 1-Digit Numbers Go Math 4th Grade Solutions Key & get a good grip on the concepts.<\/p>\n

Go Math Grade 4 Answer Key Homework Practice FL Chapter 2 Multiply by 1-Digit Numbers<\/h2>\n

There are various lessons & concepts included in the Go Math Grade 4 Answer Key Homework Practice FL Chapter 2 Multiply by 1-Digit Numbers such as Multiplication Comparisons, Multiply Tens, Hundreds, and Thousands, Estimate Products, Multiply Using the Distributive Property, and so on. So, move ahead and click on the respective topic to grasp the concept and then solve the sums easily. All these solutions will make you understand the concepts clearly and make you strong on basic fundamentals on your own.<\/p>\n

Lesson: 1 – Multiplication Comparisons<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 23<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 24<\/a><\/p>\n

Lesson: 2 – Comparison Problems<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 25<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 26<\/a><\/p>\n

Lesson: 3 – Multiply Tens, Hundreds, and Thousands<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 27<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 28<\/a><\/p>\n

Lesson: 4 – Estimate Products<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 29<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 30<\/a><\/p>\n

Lesson: 5 – Multiply Using the Distributive Property<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 31<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 32<\/a><\/p>\n

Lesson: 6 – Multiply Using Expanded Form<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 33<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 34<\/a><\/p>\n

Lesson: 7 – Multiply Using Partial Products<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 35<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 36<\/a><\/p>\n

Lesson: 8 – Multiply Using Mental Math<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 37<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 38<\/a><\/p>\n

Lesson: 9 – Problem Solving Multistep Multiplication Problems<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 39<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 40<\/a><\/p>\n

Lesson: 10 – Multiply 2-Digit Numbers with Regrouping<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 41<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 42<\/a><\/p>\n

Lesson: 11 – Multiply 3-Digit and 4-Digit Numbers with Regrouping<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 43<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 44<\/a><\/p>\n

Lesson: 12 – Solve Multistep Problems Using Equations<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 45<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 46<\/a><\/p>\n

Lesson: 13\u00a0<\/strong><\/p>\n

Common Core – Multiply by 1-Digit Numbers – Page No. 47<\/a>
\nCommon Core – Multiply by 1-Digit Numbers – Page No. 48<\/a><\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 23<\/h3>\n

Multiplication Comparisons<\/strong><\/p>\n

Write a comparison sentence.<\/strong><\/p>\n

Question 1.
\n6 \u00d7 3 = 18
\n6<\/span> times as many as 3<\/span> is 18<\/span>.<\/p>\n

Question 2.
\n63 = 7 \u00d7 9
\n_____ is _____ times as many as _____.<\/p>\n

Answer: 63 is 7 times as many as 9.<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 3.
\n5 \u00d7 4 = 20
\n_____ times as many as _____ is _____.<\/p>\n

Answer: 5 times as many as 4 is 20.<\/p>\n

Explanation:<\/p>\n

\"Go<\/p>\n

Question 4.
\n48 = 8 \u00d7 6
\n_____ is _____ times as many as _____.<\/p>\n

Answer: 48 is 6 times as many as 8.<\/p>\n

Explanation:
\n\"Go<\/p>\n

Write an equation.<\/strong><\/p>\n

Question 5.
\n2 times as many as 8 is 16.
\n_____ \u00d7 _____ = _____<\/p>\n

Answer: 2 \u00d7 8 = 16<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 6.
\n42 is 6 times as many as 7.
\n_____ = _____ \u00d7 _____<\/p>\n

Answer: 42 = 6 \u00d7 7<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 7.
\n3 times as many as 5 is 15.
\n_____ \u00d7 _____ = _____<\/p>\n

Answer: 3 \u00d7 5 = 15<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 8.
\n36 is 9 times as many as 4.
\n_____ = _____ \u00d7 _____<\/p>\n

Answer: 36 = 9 \u00d7 4<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 9.
\n72 is 8 times as many as 9.
\n_____ = _____ \u00d7 _____<\/p>\n

Answer: 72 = 8 \u00d7 9<\/p>\n

Explanation:
\n\"Go<\/p>\n

Question 10.
\n5 times as many as 6 is 30.
\n_____ \u00d7 _____ = _____<\/p>\n

Answer: 5 \u00d7 6 = 30<\/p>\n

Explanation:
\n\"Go<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 11.
\nAlan is 14 years old. This is twice as old as his brother James is. How old is James?
\n_____ years old<\/p>\n

Answer: 7 years old.<\/p>\n

Explanation:
\nAlan\u2019s age is 14 years old and his brother is James is twice younger than Alan, So James\u2019s age is 14\u00f72= 7.<\/p>\n

Question 12.
\nThere are 27 campers. This is nine times as many as the number of counselors. How many counselors are there?
\n_____ counselors<\/p>\n

Answer: 3 counselors.<\/p>\n

Explanation: 27 campers= 9\u00d7 no.of counselors,
\nSo no.of counselors are 27\u00f79= 3.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 24<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nWhich equation best represents the comparison sentence?
\n24 is 4 times as many as 6.
\nOptions:
\na. 24 \u00d7 4 = 6
\nb. 24 = 4 \u00d7 6
\nc. 24 = 4 + 6
\nd. 4 + 6 = 24<\/p>\n

Answer: 24 = 4 \u00d7 6<\/p>\n

Explanation:
\n\"Go
\nThe correct answer is option b.<\/p>\n

Question 2.
\nWhich comparison sentence best represents the equation?
\n5 \u00d7 9 = 45
\nOptions:
\na. 5 more than 9 is 45.
\nb. 9 is 5 times as many as 45.
\nc. 5 is 9 times as many as 45.
\nd. 45 is 5 times as many as 9.<\/p>\n

Answer: 45 is 5 times as many as 9.<\/p>\n

Explanation:
\n\"Go
\nThe correct answer is option d.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nWhich of the following statements correctly compares the numbers?
\nOptions:
\na. 273,915 > 274,951
\nb. 134,605 < 143,605
\nc. 529,058 > 530,037
\nd. 452,731 > 452,819<\/p>\n

Answer: 134,605 < 143,605<\/p>\n

Explanation:
\n134,605 is lesser compared to 143,605.
\nThe correct answer is option b.<\/p>\n

Question 4.
\nWhat is the standard form for
\n200,000 + 80,000 + 700 + 6?
\nOptions:
\na. 2,876
\nb. 28,706
\nc. 208,706
\nd. 280,706<\/p>\n

Answer: 280,706<\/p>\n

Explanation:
\n200,000+80,000+700+6= 280,706.
\nThe correct answer is option d.<\/p>\n

Question 5.
\nSean and Leah are playing a computer game. Sean scored 72,491 points. Leah scored 19,326 points more than Sean. How many points did Leah score?
\nOptions:
\na. 53,615
\nb. 91,717
\nc. 91,815
\nd. 91,817<\/p>\n

Answer: 91,817<\/p>\n

Explanation:
\nSean\u2019s score is 72,491 and Leah\u2019s score is 19,326 more than Sean\u2019s score. So Sean score is 72,491+19,326 = 91,817.
\nThe correct answer is option d.<\/p>\n

Question 6.
\nA baseball stadium has 38,496 seats. Rounded to the nearest thousand, how many seats is this?
\nOptions:
\na. 38,000
\nb. 38,500
\nc. 39,000
\nd. 40,000<\/p>\n

Answer: 38,000<\/p>\n

Explanation:
\nRound off to the nearest thousand is 38,000.
\nThe correct answer is option a.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 25<\/h3>\n

Comparison Problems<\/strong><\/p>\n

Draw a model. Write an equation and solve.<\/strong><\/p>\n

Question 1.
\nStacey made a necklace using 4 times as many blue beads as red beads. She used a total of 40 beads. How many blue beads did Stacey use?
\n\"Go<\/p>\n

Question 2.
\nAt the zoo, there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there?
\n______ monkeys<\/p>\n

Answer: 18 monkeys<\/p>\n

Explanation:
\n\"Go
\nTherefore there are 18 monkeys.<\/p>\n

Question 3.
\nFred\u2019s frog jumped 7 times as far as Al\u2019s frog. The two frogs jumped a total of 56 inches. How far did Fred\u2019s frog jump?
\n______ inches<\/p>\n

Answer: 49 inches<\/p>\n

Explanation:
\n\"Go
\nTherefore Fred’s frog jumps 49 inches.<\/p>\n

Question 4.
\nSheila has 5 times as many markers as Dave. Together, they have 18 markers. How many markers does Sheila have?
\n______ markers<\/p>\n

Answer: 15 markers<\/p>\n

Explanation:
\n\"Go
\nTherefore Sheila has 15 markers.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 5.
\nRafael counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many white cars did Rafael count?
\n______ white cars<\/p>\n

Answer: 36 white cars<\/p>\n

Explanation:
\nLet yellow cars be X, As white cars are 9 times as many as yellow cars, So white cars be 9X. Therefore 9X+X=40, X=4. So no.of white cars are 9\u00d74= 36.
\nTherefore Rafael count 36 white cars.<\/p>\n

Question 6.
\nSue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many more points did she score in the second game?
\n______ more points<\/p>\n

Answer: 30 more points<\/p>\n

Explanation:
\nLet the first game points are X and second game points be 6X. Sue\u2019s total score is 35 points in two games so 6X+X= 35 then X is 5.
\nTherefore the second game score is 6 \u00d7 5= 30.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 26<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nSari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have?
\nOptions:
\na. 7
\nb. 14
\nc. 18
\nd. 21<\/p>\n

Answer: 21<\/p>\n

Explanation:
\nLet the X be pencil erasers of Sam and Sari erasers be 3X. As Sari and Sam together have 28 erasers.
\nSo 3X+X= 28. And X is 7. Then Sari has 3\u00d77= 21.
\nThe correct answer is option d.<\/p>\n

Question 2.
\nIn Sean\u2019s fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies?
\nOptions:
\na. 5
\nb. 12
\nc. 15
\nd. 18<\/p>\n

Answer: 18<\/p>\n

Explanation:<\/p>\n

Let Guppies be X and Goldfishes be 6X.
\nAnd the total fishes are 21, So X+6X= 21 then X= 3.
\nSo Goldfishes are 6\u00d73= 18.
\nThe correct answer is option d.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nBarbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
\nOptions:
\na. 3
\nb. 12
\nc. 24
\nd. 27<\/p>\n

Answer: 27<\/p>\n

Explanation:
\nBarbara has 9 stuffed animals and Trish has 3 times as Barbara, So 9\u00d73= 27.
\nThe correct answer is option d.<\/p>\n

Question 4.
\nThere are 104 students in the fourth grade at Allison\u2019s school. One day, 15 fourth-graders were absent. How many fourth-graders were at school that day?
\nOptions:
\na. 89
\nb. 91
\nc. 99
\nd. 119<\/p>\n

Answer: 89<\/p>\n

Explanation:
\nTotal students in fourth grade are 104, as 15 students were absent 104-15= 89.
\nThe correct answer is option a.<\/p>\n

Question 5.
\nJoshua has 112 rocks. Jose has 98 rocks. Albert has 107 rocks. What is the correct order of the boys from the least to the greatest number of rocks owned?
\nOptions:
\na. Jose, Albert, Joshua
\nb. Jose, Joshua, Albert
\nc. Albert, Jose, Joshua
\nd. Joshua, Albert, Jose<\/p>\n

Answer: Jose, Albert, Joshua<\/p>\n

Explanation:<\/p>\n

Given,
\nJoshua has 112 rocks. Jose has 98 rocks. Albert has 107 rocks.
\nAs 98<107<112. So Jose, Albert, Joshua.
\nThe correct answer is option a.<\/p>\n

Question 6.
\nAlicia has 32 stickers. This is 4 times as many stickers as Benita has. How many stickers does Benita have?
\nOptions:
\na. 6
\nb. 8
\nc. 9
\nd. 28<\/p>\n

Answer: 8<\/p>\n

Explanation:
\nGiven,
\nAlicia has 32 stickers. This is 4 times as many stickers as Benita has.
\nLet Benita stickers be S and Alicia has 32 stickers, So 4\u00d7S= 32. Therefore Benita stickers are 8.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 27<\/h3>\n

Multiply Tens, Hundreds, and Thousands<\/strong><\/p>\n

Find the product.<\/strong><\/p>\n

Question 1.
\n4 \u00d7 7,000 = 28,000<\/span>
\nThink: 4 \u00d7 7 = 28
\nSo, 4 \u00d7 7,000 = 28,000<\/p>\n

Question 2.
\n9 \u00d7 60 = ______<\/p>\n

Answer: 540<\/p>\n

Explanation: 9\u00d76= 54.<\/p>\n

Question 3.
\n8 \u00d7 200 = ______<\/p>\n

Answer: 1600<\/p>\n

Explanation: 8\u00d72=16<\/p>\n

Question 4.
\n5 \u00d7 6,000 = ______<\/p>\n

Answer: 30,000<\/p>\n

Explanation: 5\u00d76=30.<\/p>\n

Question 5.
\n7 \u00d7 800 = ______<\/p>\n

Answer: 5600<\/p>\n

Explanation: 7\u00d78= 56.<\/p>\n

Question 6.
\n8 \u00d7 90 = ______<\/p>\n

Answer: 720<\/p>\n

Explanation: 8\u00d79=72.<\/p>\n

Question 7.
\n6 \u00d7 3,000 = ______<\/p>\n

Answer: 18,000<\/p>\n

Explanation: 6\u00d73= 18.<\/p>\n

Question 8.
\n3 \u00d7 8,000 = ______<\/p>\n

Answer: 24,000<\/p>\n

Explanation: 3\u00d78= 24.<\/p>\n

Question 9.
\n5 \u00d7 500 = ______<\/p>\n

Answer: 2500<\/p>\n

Explanation: 5\u00d75= 25.<\/p>\n

Question 10.
\n9 \u00d7 4,000 = ______<\/p>\n

Answer: 36,000<\/p>\n

Explanation: 9\u00d74= 36.<\/p>\n

Question 11.
\n7 \u00d7 7,000 = ______<\/p>\n

Answer: 49,000<\/p>\n

Explanation: 7\u00d77= 49.<\/p>\n

Question 12.
\n3 \u00d7 40 = ______<\/p>\n

Answer: 120<\/p>\n

Explanation: 3\u00d74= 12.<\/p>\n

Question 13.
\n4 \u00d7 5,000 = ______<\/p>\n

Answer: 20,000<\/p>\n

Explanation: 4\u00d75= 20.<\/p>\n

Question 14.
\n2 \u00d7 9,000 = ______<\/p>\n

Answer: 18,000<\/p>\n

Explanation: 2\u00d79= 18.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 15.
\nA bank teller has 7 rolls of coins. Each roll has 40 coins. How many coins does the bank teller have?
\n______ coins<\/p>\n

Answer: 280 coins<\/p>\n

Explanation:
\nThe bank teller has 7 rolls of coins.
\nAs each roll has 40 coins, So total coins are 7\u00d740= 280
\nThus the bank teller has 280 coins.<\/p>\n

Question 16.
\nTheo buys 5 packages of paper. There are 500 sheets of paper in each package. How many sheets of paper does Theo buy?
\n______ sheets.<\/p>\n

Answer: 2,500<\/p>\n

Explanation:
\nTotal no.of sheets of papers in each package are 500, And Theo buys 5 packages of papers.
\nSo total sheets of paper Theo bought are 500\u00d75= 2,500.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 28<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nA plane is traveling at a speed of 400 miles per hour. How far will the plane travel in 5 hours?
\nOptions:
\na. 200 miles
\nb. 2,000 miles
\nc. 20,000 miles
\nd. 200,000 miles<\/p>\n

Answer: 2,000 miles<\/p>\n

Explanation:
\nThe speed of the plane is 400 miles per hour.
\nIn 5 hours plane can travel 400\u00d75= 2,000 miles.
\nThus the correct answer is option b.<\/p>\n

Question 2.
\nOne week, a clothing factory made 2,000 shirts in each of 6 different colors. How many shirts did the factory make in all?
\nOptions:
\na. 2,000
\nb. 12,000
\nc. 120,000
\nd. 200,000<\/p>\n

Answer: 12,000<\/p>\n

Explanation:
\nThe shirts made in one week are 2000 in 6 different colors.
\nSo total shirts made in all are 2000\u00d76= 12,000.
\nThus the correct answer is option b.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nWhich comparison sentence best represents the equation?
\n6 \u00d7 7 = 42
\nOptions:
\na. 7 is 6 times as many as 42.
\nb. 6 is 7 times as many as 42.
\nc. 42 is 6 times as many as 7.
\nd. more than 7 is 42.<\/p>\n

Answer: 42 is 6 times as many as 7.<\/p>\n

Explanation:
\nBy comparing 42= 6\u00d77 represents the equation.
\nThus the correct answer is option c.<\/p>\n

Question 4.
\nThe population of Middleton is six thousand, fifty-four people. Which of the following shows this number written in standard form?
\nOptions:
\na. 654
\nb. 6,054
\nc. 6,504
\nd. 6,540<\/p>\n

Answer: 6,054<\/p>\n

Explanation:
\nThe standard form is Six thousand fifty-four is equal to 6,054.
\nThus the correct answer is option b.<\/p>\n

Question 5.
\nIn an election for mayor, 85,034 people voted for Carl Green and 67,952 people voted for Maria Lewis. By how many votes did Carl Green win the election?
\nOptions:
\na. 17,082
\nb. 17,182
\nc. 22,922
\nd. 152,986<\/p>\n

Answer: 17,082<\/p>\n

Explanation:
\nTotal votes Carl Green has got are 85,034and Maria Lewis got are 67,952. By 85,034-67,952= 17,082 votes Carl Green won the election.
\nThus the correct answer is option a.<\/p>\n

Question 6.
\nMeredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did she pick?
\nOptions:
\na. 4
\nb. 5
\nc. 16
\nd. 24<\/p>\n

Answer: 16<\/p>\n

Explanation:
\nMeredith picked 4 times as many green peppers as red peppers.
\nLet the red peppers be X and green peppers be 4X, And the total she picked is 20 peppers. So X+4X=20
\nThen X=4. Green peppers she picked are 4\u00d74= 16.
\nThus the correct answer is option c.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 29<\/h3>\n

Estimate Products<\/strong><\/p>\n

Estimate the product by rounding.<\/strong><\/p>\n

Question 1.
\n4 \u00d7 472
\n4 \u00d7 472
\n\u2193
\n4 \u00d7 500 = 2,000<\/p>\n

Question 2.
\n2 \u00d7 6,254
\nEstimate: _______<\/p>\n

Answer: 12,000<\/p>\n

Explanation:
\nThe nearest rounding off for 6,254 is 6,000.
\nSo 2\u00d76,000= 12,000.<\/p>\n

Question 3.
\n9 \u00d7 54
\nEstimate: _______<\/p>\n

Answer: 450<\/p>\n

Explanation:
\nThe nearest rounding off for 54 is 50. So 9\u00d750= 450.<\/p>\n

Question 4.
\n5 \u00d7 5,503
\nEstimate: _______<\/p>\n

Answer: 30,000<\/p>\n

Explanation:
\nThe nearest rounding off for 5,503 is 6,000.
\nSo 5\u00d76,000= 30,000.<\/p>\n

Question 5.
\n3 \u00d7 832
\nEstimate: _______<\/p>\n

Answer: 2,400<\/p>\n

Explanation:
\nThe nearest rounding off for 832 is 800.
\nSo 3\u00d7800= 2,400.<\/p>\n

Question 6.
\n6 \u00d7 98
\nEstimate: _______<\/p>\n

Answer: 600<\/p>\n

Explanation:
\nThe nearest rounding off for 98 is 100. So 6\u00d7100= 600.<\/p>\n

Question 7.
\n8 \u00d7 3,250
\nEstimate: _______<\/p>\n

Answer: 24,000<\/p>\n

Explanation:
\nThe nearest rounding off for 3,250 is 3,000.
\nSo 8\u00d73,000= 24,000.<\/p>\n

Question 8.
\n7 \u00d7 777
\nEstimate: _______<\/p>\n

Answer: 5,600<\/p>\n

Explanation:
\nThe nearest rounding off for 777 is 800.
\nSo 7\u00d7800= 5,600.<\/p>\n

Find two numbers the exact answer is between.<\/strong><\/p>\n

Question 9.
\n3 \u00d7 567
\n_____ and _____<\/p>\n

Answer: 1500 and 1800<\/p>\n

Explanation:
\nThe rounding off for 567 is 500 and 600.
\nSo 3\u00d7500= 1500 and 3\u00d7600= 1800.<\/p>\n

Question 10.
\n6 \u00d7 7,381
\n_____ and _____<\/p>\n

Answer: 42,000 and 48,000<\/p>\n

Explanation:
\nThe rounding off for 7,381 is 7,000 and 8,000.
\nSo 6\u00d77000= 42,000 and 6\u00d78000= 48,000.<\/p>\n

Question 11.
\n4 \u00d7 94
\n_____ and _____<\/p>\n

Answer: 360 and 400<\/p>\n

Explanation:
\nThe rounding off for 94 is 90 and 100.
\nSo 4\u00d790= 360 and 4\u00d7100= 400.<\/p>\n

Question 12.
\n8 \u00d7 684
\n_____ and _____<\/p>\n

Answer: 3600 and 4200<\/p>\n

Explanation:
\nThe rounding off for 684 is 600 and 700.
\nSo 6\u00d7600= 3600 and 6\u00d7700= 4200.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 13.
\nIsaac drinks 8 glasses of water each day. He says he will drink 2,920 glasses of water in a year that has 365 days. Is the exact answer reasonable? Explain.
\n_____<\/p>\n

Answer: Yes<\/p>\n

Explanation:
\nAs the round-off for 365 can be 300 or 400.
\nSo 8\u00d7300= 2,400 and 8\u00d7400= 3,200.
\nThe estimated answer can be between 2,400 to 3,200.
\nSo the answer is Yes.<\/p>\n

Question 14.
\nMost Americans throw away about 1,365 pounds of trash each year. Is it reasonable to estimate that Americans throw away over 10,000 pounds of trash in 5 years? Explain.
\n_____<\/p>\n

Answer: No<\/p>\n

Explanation:
\nAs the round-off for 1,365 can be 1000 or 2000.
\nSo 5\u00d71000= 5,000 and 5\u00d72000= 10,000.
\nThe estimated answer can be between 5,000 to 10,000.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 30<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nA theater has 4,650 seats. If the theater sells all the tickets for each of its 5 shows, about how many tickets will the theater sell in all?
\nOptions:
\na. 2,500
\nb. 10,000
\nc. 25,000
\nd. 30,000<\/p>\n

Answer: 25,000<\/p>\n

Explanation:
\nA theater has 4,650 seats.
\nAs the nearest round off for 4,650 is 5,000.
\nSo 5,000\u00d75= 25,000.
\nThe correct answer is option c.<\/p>\n

Question 2.
\nWashington Elementary has 4,358 students. Jefferson High School has 3 times as many students as Washington Elementary. About how many students does Jefferson High School have?
\nOptions:
\na. 16,000
\nb. 12,000
\nc. 10,000
\nd. 1,200<\/p>\n

Answer: 12,000<\/p>\n

Explanation:
\nGiven,
\nWashington Elementary has 4,358 students.
\nJefferson High School has 3 times as many students as Washington Elementary.
\nAs the nearest round off for 4,358 is 4,000.
\nSo 4,000\u00d73= 12,000.
\nThe correct answer is option b.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nDiego has 4 times as many autographed baseballs as Melanie has. Diego has 24 autographed baseballs. How many autographed baseballs does Melanie have?
\nOptions:
\na. 28
\nb. 20
\nc. 8
\nd. 6<\/p>\n

Answer: 6<\/p>\n

Explanation:
\nLet the Melanie baseballs be S.
\nAs Diego has 4 times as many as Melanie and Diego has a total of 24 baseballs.
\nSo 4\u00d7S= 24, Then S= 24\u00f74 which is 6.
\nThe correct answer is option d.<\/p>\n

Question 4.
\nMr. Turkowski bought 4 boxes of envelopes at the office supply store. Each box has 500 envelopes. How many envelopes did Mr. Turkowski buy?
\nOptions:
\na. 200
\nb. 504
\nc. 2,000
\nd. 20,000<\/p>\n

Answer: 2,000<\/p>\n

Explanation:
\nTurkowski has 4 boxes of envelopes and each box contains 500 envelopes.
\nSo total envelopes did Turkowski bought are 4\u00d7500= 2,000.
\nThe correct answer is option c.<\/p>\n

Question 5.
\nPennsylvania has a land area of 44,816 square miles. Which of the following shows the land area of Pennsylvania rounded to the nearest hundred?
\nOptions:
\na. 44,000 square miles
\nb. 44,800 square miles
\nc. 44,900 square miles
\nd. 45,000 square miles<\/p>\n

Answer: 44,800 square miles<\/p>\n

Explanation:
\nAs the nearest round off for 44,816 is 44,800.
\nThe correct answer is option b.<\/p>\n

Question 6.
\nThe table shows the types of DVDs customers rented from Sunshine Movie Rentals last year.
\n\"Go
\nOptions:
\nHow many comedy and action movies were rented in all last year?
\na. 13,620
\nb. 13,000
\nc. 12,260
\nd. 10,752<\/p>\n

Answer: 12,260<\/p>\n

Explanation:
\nComedy and action movies that are rented in last year are 6,720+5,540= 12,260.
\nThe correct answer is option c.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 31<\/h3>\n

Multiply Using the Distributive Property<\/strong><\/p>\n

Model the product on the grid. Record the product.<\/strong><\/p>\n

Question 1.
\n4 \u00d7 19 = 76<\/span>
\n\"Go
\n4 \u00d7 10 = 40 and 4 \u00d7 9 = 36<\/span>
\n40 + 36 = 76<\/span><\/p>\n

Question 2.
\n\"Go
\n5 \u00d7 13 = _____<\/p>\n

Answer: 65<\/p>\n

Explanation:
\n5\u00d710= 50 and 5\u00d73= 15
\n50+15= 65.<\/p>\n

Find the product.<\/strong><\/p>\n

Question 3.
\n\"Go
\n4 \u00d7 14 = _____<\/p>\n

Answer: 56<\/p>\n

Explanation:
\n4\u00d710= 40 and 4\u00d74= 16
\n40+16= 56.<\/p>\n

Question 4.
\n\"Go
\n3 \u00d7 17 = _____<\/p>\n

Answer: 51<\/p>\n

Explanation:
\n3\u00d710=30 and 3\u00d77= 21
\n30+21= 51<\/p>\n

Question 5.
\n\"Go
\n6 \u00d7 15 = _____<\/p>\n

Answer: 90<\/p>\n

Explanation:
\n6\u00d710= 60 and 6\u00d75= 30
\n60+30= 90<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 6.
\nMichael arranged his pennies in the following display.
\n\"Go
\nHow many pennies does Michael have in all?
\n_____ pennies<\/p>\n

Answer: 91<\/p>\n

Explanation: As there are 7 columns and 13 rows, So 13\u00d77= 91.<\/p>\n

Question 7.
\nA farmer has an apple orchard with the trees arranged as shown below.
\n\"Go
\nIf the farmer wants to pick one apple from each tree, how many apples will he pick?
\n_____ apples<\/p>\n

Answer: 70 apples<\/p>\n

Explanation:
\nAs there are 5 columns and 14 rows, So 5\u00d714= 70.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 32<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nThe model shows how Maya planted flowers in her garden.
\n\"Go
\nHow many flowers did Maya plant?
\nOptions:
\na. 15
\nb. 18
\nc. 30
\nd. 45<\/p>\n

Answer: 45<\/p>\n

Explanation:
\nAs 3\u00d710= 30 and 3\u00d75= 15
\n30+15= 45.
\nThe correct answer is option d.<\/p>\n

Question 2.
\nThe model below represents the expression 5 \u00d7 18.
\n\"Go
\nHow many tens will there be in the final product?
\nOptions:
\na. 5
\nb. 6
\nc. 8
\nd. 9<\/p>\n

Answer: 9<\/p>\n

Explanation:
\nAs 5\u00d718 is 90 and 90\u00f710= 9.
\nSo the answer is 9.
\nThe correct answer is option d.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nCenter City has a population of twenty one thousand, seventy people. Which of the following shows the population written in standard form?
\nOptions:
\na. 21,007
\nb. 21,070
\nc. 21,077
\nd. 21,700<\/p>\n

Answer: 21,070<\/p>\n

Explanation:
\nCenter City has a population of twenty one thousand, seventy people.
\nTwenty-one thousand seventy is equal to 21,070.
\nThe correct answer is option b.<\/p>\n

Question 4.
\nCentral School collected 12,516 pounds of newspaper to recycle. Eastland School collected 12,615 pounds of newspapers. How many more pounds of newspaper
\ndid Eastland School collect than Central School?
\nOptions:
\na. 99 pounds
\nb. 101 pounds
\nc. 199 pounds
\nd. 1,099 pounds<\/p>\n

Answer: 99 pounds<\/p>\n

Explanation:
\nCentral school has collected 12,516 pounds and Eastland school collected 12,615 pounds. So 12,615-12,516= 99.
\nThe correct answer is option a.<\/p>\n

Question 5.
\nAllison has 5 times as many baseball cards as football cards. In all, she has 120 baseball and football cards. How many baseball cards does Allison have?
\nOptions:
\na. 20
\nb. 24
\nc. 96
\nd. 100<\/p>\n

Answer: 100<\/p>\n

Explanation:
\nLet Football cards be X and baseball cards be 5X. So 5X+X= 120 in which X= 20.
\nAs Allison has 5 times as many baseball cards as football cards.
\nSo 5\u00d720= 100.
\nThe correct answer is option d.<\/p>\n

Question 6.
\nA ruby-throated hummingbird beats its wings about 53 times each second. About how many times does a ruby-throated hummingbird beat its wings in 5 seconds?
\nOptions:
\na. 25
\nb. 58
\nc. 250
\nd. 300<\/p>\n

Answer: 250<\/p>\n

Explanation:
\nAs the nearest round-off for 53 is 50, So 50\u00d75= 250.
\nThe correct answer is option c.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 33<\/h3>\n

Multiply Using Expanded Form<\/strong><\/p>\n

Record the product. Use expanded form to help.<\/strong><\/p>\n

Question 1.
\n7 \u00d7 14 = 98<\/span>
\n7 \u00d7 14 = 7 \u00d7 (10 + 4)
\n= (7 \u00d7 10) + (7 \u00d7 4)
\n= 70 + 28
\n= 98<\/p>\n

Question 2.
\n8 \u00d7 43 = ______<\/p>\n

Answer: 344<\/p>\n

Explanation:
\n8\u00d7(40+3)
\n= (8\u00d740)+(8\u00d73)
\n= 320+24
\n= 344.<\/p>\n

Question 3.
\n6 \u00d7 532 = ______<\/p>\n

Answer: 3192<\/p>\n

Explanation:
\n6\u00d7(500+30+2)
\n= (6\u00d7500)+(6\u00d730)+(6\u00d72)
\n= 3000+180+12
\n= 3,192.<\/p>\n

Question 4.
\n5 \u00d7 923 = ______<\/p>\n

Answer: 4,615<\/p>\n

Explanation:
\n5\u00d7923= 5\u00d7(900+20+3)
\n=(5\u00d7900)+(5\u00d720)+(5\u00d73)
\n=4500+100+15
\n=4,615.<\/p>\n

Question 5.
\n4 \u00d7 2,371 = ______<\/p>\n

Answer: 9,484<\/p>\n

Explanation:
\n4\u00d72,371= 4\u00d7(2000+300+70+1)
\n= (4\u00d72,000)+(4\u00d7300)+(4\u00d770)+(4\u00d71)
\n=8000+1200+280+4
\n=9,484<\/p>\n

Question 6.
\n7 \u00d7 1,829 = ______<\/p>\n

Answer: 12,803<\/p>\n

Explanation:
\n7\u00d71,829= 7\u00d7(1,000+800+20+9)
\n=(7\u00d71,000)+( 7\u00d7800)+( 7\u00d720)+( 7\u00d79)
\n=7,000+5600+140+63
\n=12,803<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 7.
\nThe fourth-grade students at Riverside School are going on a field trip. There are 68 students on each of the 4 buses. How many students are going on the field trip?
\n______ students<\/p>\n

Answer: 272 students<\/p>\n

Explanation:
\nNo. of buses are 4 and on each bus, there are 68 students.
\nSo 68 \u00d7 4= 272.
\nTherefore 272 students are going on the field trip.<\/p>\n

Question 8.
\nThere are 5,280 feet in one mile. Hannah likes to walk 5 miles each week for exercise. How many feet does Hannah walk each week?
\n______ feet<\/p>\n

Answer: 26,400 feet<\/p>\n

Explanation:
\nThere are 5,280 feet in one mile and Hannah walks 5 miles each week.
\nSo 5,280 5= 26,400.
\nHannah walk 26,400 feet each week.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 34<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nWhich expression shows how to multiply 7 \u00d7 256 by using expanded form and the Distributive Property?
\nOptions:
\na. (7 \u00d7 2) + (7 \u00d7 5) + (7 \u00d7 6)
\nb. (7 \u00d7 200) + (7 \u00d7 500) + (7 \u00d7 600)
\nc. (7 \u00d7 2) + (7 \u00d7 50) + (7 \u00d7 600)
\nd. (7 \u00d7 200) + (7 \u00d7 50) + (7 \u00d7 6)<\/p>\n

Answer: (7 \u00d7 200) + (7 \u00d7 50) + (7 \u00d7 6)<\/p>\n

Explanation:
\nBy Distributive property of multiplication 7\u00d7256=(7\u00d7200)+(7\u00d750)+(7\u00d76)
\nThe correct answer is option d.<\/p>\n

Question 2.
\nSue uses the expression (8 \u00d7 3,000) + (8 \u00d7 200) + (8 \u00d7 9) to help solve a multiplication problem. Which is Sue\u2019s multiplication problem?
\nOptions:
\na. 8 \u00d7 329
\nb. 8 \u00d7 3,029
\nc. 8 \u00d7 3,209
\nd. 8 \u00d7 3,290<\/p>\n

Answer: 8 \u00d7 3,029<\/p>\n

Explanation:
\nThe expression (8\u00d73,000)+(8\u00d7200)+(8\u00d79) is written in the Distributive property of multiplication. So 8\u00d73,029.
\nThe correct answer is option b.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nWhat is another way to write 9 x 200?
\nOptions:
\na. 18 ones
\nb. 18 tens
\nc. 18 hundreds
\nd. 18 thousands<\/p>\n

Answer: 18 hundreds<\/p>\n

Explanation: 9\u00d7200= 1800
\nThe correct answer is option c.<\/p>\n

Question 4.
\nWhat is the value of the digit 4 in 46,000?
\nOptions:
\na. 4 ten thousands
\nb. 4 thousands
\nc. 4 hundreds
\nd. 4 tens<\/p>\n

Answer: 4 ten thousand<\/p>\n

Explanation:
\nThe place value of 4 in 46,000 is 40,000.
\nThe correct answer is option a.<\/p>\n

Question 5.
\nChris bought 6 packages of napkins for his restaurant. There were 200 napkins in each package. How many napkins did Chris buy?
\nOptions:
\na. 120
\nb. 1,200
\nc. 12,000
\nd. 120,000<\/p>\n

Answer: 1,200<\/p>\n

Explanation:
\nTotal packages are 6 and each package contains 200 napkins.
\nSo 6 \u00d7 200=1,200.
\nThe correct answer is option b.<\/p>\n

Question 6.
\nWhich of the following lists the numbers in order from least to greatest?
\nOptions:
\na. 8,512; 8,251; 8,125
\nb. 8,251; 8,125; 8,512
\nc. 8,125; 8,512; 8,251
\nd. 8,125; 8,251; 8,512<\/p>\n

Answer: 8,125; 8,251; 8,512<\/p>\n

Explanation:
\n8,125>8,251>8,512.
\nThe correct answer is option d.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 35<\/h3>\n

Multiply Using Partial Products<\/strong><\/p>\n

Estimate. Then record the product.<\/strong><\/p>\n

Question 1.
\nEstimate: 1,200<\/span>
\n2 4 3
\n\u00d7\u00a0 \u00a0 6
\n———
\n1,200
\n2 4 0
\n+ 1 8
\n———
\n1,458<\/p>\n

Question 2.
\n6 4 0
\n\u00d7\u00a0 \u00a0 3
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 3.
\n$ 1 4 9
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a05
\n———
\nEstimate: $ ________
\nProduct: $ _______<\/p>\n

Answer:<\/p>\n

Question 4.
\n7 2 1
\n\u00d7\u00a0 \u00a08
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 5.
\n2 9 3
\n\u00d7\u00a0 \u00a0 4
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 6.
\n$ 4 1 6
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a06
\n———
\nEstimate: $ ________
\nProduct: $ _______<\/p>\n

Answer:<\/p>\n

Question 7.
\n9 6 1
\n\u00d7\u00a0 \u00a0 2
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 8.
\n8 3 7
\n\u00d7\u00a0 \u00a0 9
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 9.
\n6 5 2
\n\u00d7\u00a0 \u00a0 4
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 10.
\n3 0 7
\n\u00d7\u00a0 \u00a0 3
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 11.
\n5 4 3
\n\u00d7\u00a0 \u00a0 \u00a07
\n———
\nEstimate: ________
\nProduct: _______<\/p>\n

Answer:<\/p>\n

Question 12.
\n$ 8 2 2
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a05
\n———
\nEstimate: $ ________
\nProduct: $ _______<\/p>\n

Answer:<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 13.
\nA maze at a county fair is made from 275 bales of hay. The maze at the state fair is made from 4 times as many bales of hay. How many bales of hay are used for the maze at the state fair?
\n______ bales<\/p>\n

Answer: 1100 bales<\/p>\n

Explanation:
\nNo. of country fair bales are 275 and state fair bales are 4 times as many as country fair bales.
\nSo 275 \u00d7 4= 1100 bales.<\/p>\n

Question 14.
\nPedro gets 8 hours of sleep each night. How many hours does Pedro sleep in a year with 365 days?
\n______ hours<\/p>\n

Answer: 2,920 hours<\/p>\n

Explanation:
\nGiven,
\nPedro sleeps 8 hours each night and 365 days Pedro sleeps 365 \u00d7 8= 2,920 hours.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 36<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nA passenger jet flies at an average speed of 548 miles per hour. At that speed, how many miles does the plane travel in 4 hours?
\nOptions:
\na. 2,092 miles
\nb. 2,112 miles
\nc. 2,192 miles
\nd. 2,480 miles<\/p>\n

Answer: 2,192 miles<\/p>\n

Explanation:
\nThe average speed of a passenger jet is 548 miles per hour.
\nAnd the plane travels in 4 hours is 548 \u00d7 4= 2,192 miles.
\nThe correct answer is option c.<\/p>\n

Question 2.
\nUse the model to find 3 \u00d7 157.
\n\"Go
\nOptions:
\na. 300,171
\nb. 300,157
\nc. 471
\nd. 451<\/p>\n

Answer: 471<\/p>\n

Explanation:
\nBy distributive property of multiplication 3 x 157= 3 x(100+50+7)
\n= (3 x100)+(3\u00d750)+(3\u00d77)
\n= 300+150+21
\n= 471
\nThe correct answer is option c.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nThe school fun fair made $1,768 on games and $978 on food sales. How much money did the fun fair make on games and food sales?
\nOptions
\na. $2,636
\nb. $2,646
\nc. $2,736
\nd. $2,746<\/p>\n

Answer: $2746<\/p>\n

Explanation:
\nMoney made on games is $1,768 and on food, sale is $978.
\nSo total money make on games and food sales are 1768+978= 2746.
\nThe correct answer is option d.<\/p>\n

Question 4.
\nUse the table below.
\n\"Go
\nWhich of the following lists the states from least to greatest population?
\nOptions:
\na. Alaska, North Dakota, Vermont
\nb. Vermont, Alaska, North Dakota
\nc. North Dakota, Vermont, Alaska
\nd. Vermont, North Dakota, Alaska<\/p>\n

Answer: Vermont, North Dakota, Alaska<\/p>\n

Explanation:
\nVermont has 621,760, North Dakota has 646,844 and Alaska has 698,473.
\nSo Vermont, North Dakota, Alaska.
\nThe correct answer is option d.<\/p>\n

Question 5.
\nA National Park covers 218,375 acres. What is this number written in expanded form?
\nOptions:
\na. 200,000 + 10,000 + 8,000 + 300 + 70 + 5
\nb. 20,000 + 1,000 + 800 + 30 + 75
\nc. 218 + 375
\nd. 218 thousand, 375<\/p>\n

Answer: 200,000 + 10,000 + 8,000 + 300 + 70 + 5<\/p>\n

Explanation:
\n218,375 is expanded as 200,000 + 10,000 + 8,000 + 300 + 70 + 5
\nThe correct answer is option a.<\/p>\n

Question 6.
\nLast year a business had profits of $8,000. This year its profits are 5 times as great. What are this year\u2019s profits?
\nOptions:
\na. $4,000
\nb. $40,000
\nc. $44,000
\nd. $400,000<\/p>\n

Answer: $40,000<\/p>\n

Explanation:
\nLast year\u2019s profit of $8,000 and this year 5 times more.
\nSo this year profit is 8000 \u00d7 5= 40,000.
\nThe correct answer is option b.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 37<\/h3>\n

Multiply Using Mental Math<\/strong><\/p>\n

Find the product. Tell which strategy you used.<\/strong><\/p>\n

Question 1.
\n6 \u00d7 297
\nThink: 297 = 300 – 3
\n6 \u00d7 297 = 6 \u00d7 (300 – 3)
\n= (6 \u00d7 300) – (6 \u00d7 3)
\n= 1,800 – 18
\n= 1,782;
\nuse subtraction<\/p>\n

Question 2.
\n8 \u00d7 25 \u00d7 23 = _____<\/p>\n

Answer: 4,600, Associative property.<\/p>\n

Explanation:
\n8\u00d725\u00d723=(8\u00d725)\u00d7 23
\n=(200) \u00d723
\n4,600<\/p>\n

Question 3.
\n8 \u00d7 604 = _____<\/p>\n

Answer: 4,832, Use Addition.<\/p>\n

Explanation:
\n604= 600+4
\n8\u00d7604= 8\u00d7(600+4)
\n=(8\u00d7600)+(8\u00d74)
\n=4800+32
\n=4832.<\/p>\n

Question 4.
\n50 \u00d7 28 = _____<\/p>\n

Answer: 1400, Halving and doubling.<\/p>\n

Explanation:
\n50\u00d728= (25\u00d728)+(50\u00d714)
\n=700+700
\n=1400<\/p>\n

Question 5.
\n9 \u00d7 199 = _____<\/p>\n

Answer: 1,791<\/p>\n

Explanation:
\nBy Distributive property 9 \u00d7 199= 9 \u00d7(100+90+9)
\n=(9\u00d7100)+(9\u00d790)+(9\u00d79)
\n=900+810+81
\n= 1791<\/p>\n

Question 6.
\n20 \u00d7 72 \u00d7 5 = _____<\/p>\n

Answer: 7,200.<\/p>\n

Explanation:
\nThe associative property states that the terms in an addition or multiplication problem can be grouped in different ways, and the answer remains the same.
\n20 \u00d7 72 \u00d7 5= (20\u00d772) \u00d75
\n=1440\u00d75
\n=7,200.<\/p>\n

Question 7.
\n32 \u00d7 25 = _____<\/p>\n

Answer: 800<\/p>\n

Explanation:
\nMultiplication.
\n32\u00d725= 800.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 8.
\nSection J in an arena has 20 rows. Each row has 15 seats. All tickets cost $18 each. If all the seats are sold, how much money will the arena collect for Section J?
\n$ _____<\/p>\n

Answer: $5400<\/p>\n

Explanation:
\nTotal rows in the arena are 20 rows and each row has 15 seats.
\nSo total seats are 20\u00d715= 300 seats.
\nAnd each ticket cost is $18, So the total ticket price is 300\u00d715= 5400.<\/p>\n

Question 9.
\nAt a high-school gym, the bleachers are divided into 6 equal sections. Each section can seat 395 people. How many people can be seated in the gym?
\n_____ people<\/p>\n

Answer: 2,370 people.<\/p>\n

Explanation:
\nTotal sections are 6 and each section contains 395 people.
\nSo the total members can be seated in the gym are 395 \u00d7 6= 2,370 people.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 38<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nPencils come in cartons of 24 boxes. A school bought 50 cartons of pencils for the start of school. Each box of pencils cost $2. How much did the school spend
\non pencils?
\nOptions:
\na. $240
\nb. $1,200
\nc. $2,400
\nd. $4,800<\/p>\n

Answer: $2,400<\/p>\n

Explanation:
\nGiven,
\nTotal boxes of pencils are 24 and a school bought 50 cartons of pencils.
\nSo the total no. of boxes are 24\u00d750=1200 and each box of pencils cost $2.
\nSo 1200\u00d72= 2400 school has spent.
\nThus the correct answer is option c.<\/p>\n

Question 2.
\nThe school also bought 195 packages of markers. There are 6 markers in a package. How many markers did the school buy?
\nOptions:
\na. 1,170
\nb. 1,195
\nc. 1,200
\nd. 1,230<\/p>\n

Answer: 1,170<\/p>\n

Explanation:
\nThe school also bought 195 packages of markers. There are 6 markers in a package.
\nMultiply the number of packages with the number of markers in the package.
\nSo total markers are 195\u00d76= 1170.
\nThus the correct answer is option a.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nAlex has 175 baseball cards. Rodney has 3 times as many baseball cards as Alex. How many fewer cards does Alex have than Rodney?
\nOptions:
\na. 700
\nb. 525
\nc. 450
\nd. 350<\/p>\n

Answer: 350<\/p>\n

Explanation:
\nAlex has 175 baseball cards and Rodney has 3 times as many as Alex.
\nSo the total no. of cards Rodney has is 175\u00d73= 525. And Alex has 525-175= 350 fewer cards than Rodney.
\nThus the correct answer is option d.<\/p>\n

Question 4.
\nA theater seats 1,860 people. The last 6 shows have been sold out. Which is the best estimate of the total number of people attending the last 6 shows?
\nOptions:
\na. fewer than 6,000
\nb. about 6,000
\nc. fewer than 12,000
\nd. more than 20,000<\/p>\n

Answer: fewer than 12,000<\/p>\n

Explanation:
\nGiven,
\nA theater seats 1,860 people.
\nThe last 6 shows have been sold out.
\nNo. of seats in a theater are 1,860 people and the last 6 shows have been sold out.
\nSo 1,860\u00d76= 11,160 which are fewer than 12,000.
\nThus the correct answer is option c.<\/p>\n

Question 5.
\nAt one basketball game, there were 1,207 people watching. At the next game, there were 958 people. How many people in all were at the two games?
\nOptions:
\na. 2,155
\nb. 2,165
\nc. 2,265
\nd. 10,787<\/p>\n

Answer: 2,165<\/p>\n

Explanation:
\nThere are 1207 people are watching a basketball game and in the next game, 958 people are there.
\nSo the total no. of people is 1,207+958= 2165.
\nThus the correct answer is option b.<\/p>\n

Question 6.
\nBill bought 4 jigsaw puzzles. Each puzzle has 500 pieces. How many pieces are in all the puzzles altogether?
\nOptions:
\na. 200
\nb. 900
\nc. 2,000
\nd. 20,000<\/p>\n

Answer: 2,000<\/p>\n

Explanation:
\nGiven,
\nBill bought 4 jigsaw puzzle and each puzzle has 500 pieces.
\nSo altogether pieces are 500\u00d74= 2000.
\nThus the correct answer is option c.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 39<\/h3>\n

Problem Solving Multistep Multiplication Problems<\/strong><\/p>\n

Solve each problem.<\/strong><\/p>\n

Question 1.
\nA community park has 6 tables with a chessboard painted on top. Each board has 8 rows of 8 squares. When a game is set up, 4 rows of 8 squares on each board are covered with chess pieces. If a game is set up on each table, how many total squares are NOT covered by chess pieces?
\n\"Go
\n4 \u00d7 8 = 32
\n32 \u00d7 6 = 192 squares<\/span><\/p>\n

Question 2.
\nJonah and his friends go apple picking. Jonah fills 5 baskets. Each basket holds 15 apples. If 4 of Jonah\u2019s friends pick the same amount as Jonah, how many apples do Jonah and his friends pick in all? Draw a diagram to solve the problem.
\n_____ apples<\/p>\n

Answer: 375 apples<\/p>\n

Explanation:
\nAs Jonah fills 5 baskets which hold 15 apples, So Jonah picked 15\u00d75= 75 apples.
\nAnd 4 of his friends pick the same amount of apples, which means 75\u00d74=300.
\nSo total apples Jonah and his friends picked up are 300+75= 375 apples.<\/p>\n

Question 3.
\nThere are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows, 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students?
\n_____ chairs<\/p>\n

Answer: 80 chairs<\/p>\n

Explanation:
\nAs there are 6 rows of 16 chairs which means 16\u00d76= 96 total chairs.
\nAnd the first 4 rows 2 chairs on each end are reserved for teachers, which means 4\u00d74= 16 chairs are reserved for teachers.
\nSo 96-16= 80 chairs are left for the students.
\nTherefore there are 80 chairs for students.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 40<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nAt a tree farm, there are 9 rows of 36 spruce trees. In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?
\nOptions:
\na. 126
\nb. 198
\nc. 310
\nd. 324<\/p>\n

Answer: 198<\/p>\n

Explanation:
\nThere are 9 rows of 36 spruce trees which means 9\u00d736= 324 spruce trees.
\nAnd in that, each row has 14 blue spruce trees which mean 14\u00d79= 126.
\nSo 324-126= 198 spruce trees are not blue.
\nThus the correct answer is option b.<\/p>\n

Question 2.
\nRon is tiling a countertop. He needs to place 54 square tiles in each of 8 rows to cover the counter. He wants to randomly place 8 groups of 4 blue tiles each and have the rest of the tiles be white. How many white tiles will Ron need?
\nOptions:
\na. 464
\nb. 432
\nc. 400
\nd. 32<\/p>\n

Answer: 400<\/p>\n

Explanation:
\nRon places 54 square tiles in each of 8 rows which means 54\u00d78=432 tiles.
\nAnd he randomly places 8 groups of 4 blue tiles which means 8\u00d74= 32 blue tiles are placed.
\nSo no. of white tiles are 432 – 32= 400.
\nThus the correct answer is option c.<\/p>\n

Question 3.
\nJuan reads a book with 368 pages. Savannah reads a book with 172 fewer pages than Juan\u2019s book. How many pages are in the book Savannah reads?
\nOptions:
\na. 196
\nb. 216
\nc. 296
\nd. 540<\/p>\n

Answer: 196<\/p>\n

Explanation:
\nGiven,
\nJuan reads a book with 368 pages and Savannah reads a book with 172 fewer pages than Juan\u2019s which means 368-172= 196 pages are in Savannah\u2019s read.
\nThus the correct answer is option a.<\/p>\n

Question 4.
\nHailey has bottles that hold 678 pennies each. About how many pennies does she have if she has 6 bottles filled with pennies?
\nOptions:
\na. 3,600
\nb. 3,900
\nc. 4,200
\nd. 6,000<\/p>\n

Answer: 4,200<\/p>\n

Explanation:
\nGiven,
\nHailey has bottles that hold 678 pennies each.
\nLet\u2019s round off 678 to 700 and Hailey has bottles that hold 700 pennies each and if she has 6 bottles filled with pennies which means 700\u00d76= 4200.
\nThus the correct answer is option c.<\/p>\n

Question 5.
\nTerrence plants a garden that has 8 rows of flowers, with 28 flowers in each row. How many flowers did Terrence plant?
\nOptions:
\na. 1,664
\nb. 224
\nc. 164
\nd. 36<\/p>\n

Answer: 224<\/p>\n

Explanation:
\nAs the garden has 8 rows of flowers with 28 flowers in each row.
\nSo no. of flowers is 28\u00d78= 224.
\nThus the correct answer is option b.<\/p>\n

Question 6.
\nKevin has 5 fish in his fish tank. Jasmine has 4 times as many fish as Kevin has. How many fish does Jasmine have?
\nOptions:
\na. 15
\nb. 20
\nc. 25
\nd. 30<\/p>\n

Answer: 20<\/p>\n

Explanation:
\nGiven that,
\nKevin has 5 fishes and Jasmine has 4 times as many as Kevin which means 5\u00d74= 20 fishes Jasmine has.
\nThus the correct answer is option b.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 41<\/h3>\n

Multiply 2-Digit Numbers with Regrouping<\/strong><\/p>\n

Estimate. Then record the product.<\/strong><\/p>\n

Question 1.
\nEstimate: 150<\/span>
\n\"Go<\/p>\n

Question 2.
\n3 2
\n\u00d7 8
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 240
\nProduct: 256<\/p>\n

Explanation:
\nThe number close to 32 is 30 and 30\u00d78=240.
\n3 2
\n\u00d7 8<\/span>
\n256
\nThus the product is 256.<\/p>\n

Question 3.
\n$ 5 5
\n\u00d7\u00a0 \u00a02
\n———-
\nEstimate: $ _________
\nProduct: $ __________<\/p>\n

Answer:
\nEstimate: $120
\nProduct: $110<\/p>\n

Explanation:
\nRound off 55 to 60 and 60\u00d72= 120.
\n$ 5 5
\n\u00d7\u00a0 \u00a02<\/span>
\n$110
\nThus the product is $110.<\/p>\n

Question 4.
\n6 1
\n\u00d7 8
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 480
\nProduct: 488<\/p>\n

Explanation:
\nRound off 61 to 60 and 60\u00d78= 480.
\n6 1
\n\u00d7 8<\/span>
\n488
\nThus the product is 488.<\/p>\n

Question 5.
\n3 7
\n\u00d7 9
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 360
\nProduct: 333<\/p>\n

Explanation:
\nRound off 37 to 40 and 40\u00d76= 360.
\n3 7
\n\u00d7 9<\/span>
\n333
\nThus the product is 333.<\/p>\n

Question 6.
\n$ 1 8
\n\u00d7\u00a0 \u00a0 7
\n———-
\nEstimate: $ _________
\nProduct: $ __________<\/p>\n

Answer:
\nEstimate: $140
\nProduct: $126<\/p>\n

Explanation:
\nRound off 18 to 20 and 20\u00d77= 140.
\n$ 1 8
\n\u00d7\u00a0 \u00a0 7<\/span>
\n$126
\nThus the product is $126.<\/p>\n

Question 7.
\n8 3
\n\u00d7 5
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 400
\nProduct: 415<\/p>\n

Explanation:
\nRound off 83 to 80 and 80\u00d75= 400.
\n8 3
\n\u00d7 5<\/span>
\n415
\nThus the product is 415.<\/p>\n

Question 8.
\n9 5
\n\u00d7 8
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:<\/p>\n

Estimate: 800
\nProduct: 760<\/p>\n

Explanation:
\nRound off 95 to 100 and 100\u00d78= 800.
\n9 5
\n\u00d7 8<\/span>
\n760
\nThus the product is 760.<\/p>\n

Question 9.
\n9 4
\n\u00d7 9
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 810
\nProduct: 846<\/p>\n

Explanation:
\nRound off 94 to 90 and 90\u00d79= 810.
\n9 4
\n\u00d7 9<\/span>
\n846
\nThus the product is 846.<\/p>\n

Question 10.
\n5 7
\n\u00d7 6
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 360
\nProduct: 342<\/p>\n

Explanation:
\nRound off 57 to 60 and 60\u00d76= 360.
\n5 7
\n\u00d7 6<\/span>
\n342
\nThus the product is 342.<\/p>\n

Question 11.
\n7 2
\n\u00d7 3
\n———-
\nEstimate: _________
\nProduct: __________<\/p>\n

Answer:
\nEstimate: 210
\nProduct: 216<\/p>\n

Explanation: Round off 72 to 70 and 70\u00d73= 210.
\n7 2
\n\u00d7 3<\/span>
\n216
\nThus the product is 216.<\/p>\n

Question 12.
\n$ 7 9
\n\u00d7 8
\n———-
\nEstimate: $ _________
\nProduct: $ __________<\/p>\n

Answer:
\nEstimate: $640
\nProduct: $632<\/p>\n

Explanation: Round off 79 to 80 and 80\u00d78= 640.
\n$ 7 9
\n\u00d7 8<\/span>
\n$632
\nThus the product is $632.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 13.
\nSharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches, between the top of the tree and the floor of the treehouse?
\n_______ inches<\/p>\n

Answer: 162 inches<\/p>\n

Explanation:
\nGiven,
\nSharon is 54 inches tall and a tree in her backyard is 5 times as tall as she is which means 54\u00d75= 270.
\nAnd her treehouse is twice as tall as she is which means 54\u00d72= 108 inches.
\nSo the difference between the top of the tree and the floor of the treehouse is 270-108= 162 inches.<\/p>\n

Question 14.
\nMr. Diaz\u2019s class is taking a field trip to the science museum. There are 23 students in the class, and a student admission ticket is $8. How much will the student
\ntickets cost?
\n$ _______<\/p>\n

Answer: $184<\/p>\n

Explanation:
\nGiven,
\nMr. Diaz\u2019s class is taking a field trip to the science museum.
\nThere are 23 students in the class, and a student admission ticket is $8.
\nTotal no. of students are 23 and tickets cost is $8, So 23\u00d78= $184.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 42<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nA ferryboat makes four trips to an island each day. The ferry can hold 88 people. If the ferry is full on each trip, how many passengers are carried by the ferry
\neach day?
\nOptions:
\na. 176
\nb. 322
\nc. 332
\nd. 352<\/p>\n

Answer: 352<\/p>\n

Explanation:
\nTotal trips made by the ferryboat each day are 4 and it can hold 88 people.
\nSo 88\u00d74= 352 passengers are carried by ferryboat each day.
\nThus the correct answer is option d.<\/p>\n

Question 2.
\nJulian counted the number of times he drove across the Seven Mile Bridge while vacationing in the Florida Keys. He crossed the bridge 34 times. How many miles in all did Julian drive crossing the bridge?
\nOptions:
\na. 328 miles
\nb. 248 miles
\nc. 238 miles
\nd. 218 miles<\/p>\n

Answer: 238 miles<\/p>\n

Explanation:
\nGiven,
\nNo. of times Julian drive across the bridge is 7 miles and he crossed the bridge 34 times.
\nSo 34\u00d77= 238 miles Julian drive crossing the bridge.
\nThus the correct answer is option c.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nSebastian wrote the population of his city as 300,000 + 40,000 + 60 + 7. Which of the following shows the population of Sebastian\u2019s city written in standard form?
\nOptions:
\na. 346,700
\nb. 340,670
\nc. 340,607
\nd. 340,067<\/p>\n

Answer: 340,067<\/p>\n

Explanation:
\n300,000+40,000+60+7= 340,067.
\nThus the correct answer is option d.<\/p>\n

Question 4.
\nA plane flew 2,190 kilometers from Chicago to Flagstaff. Another plane flew 2,910 kilometers from Chicago to Oakland. How much farther did the plane that flew to Oakland fly than the plane that flew to Flagstaff?
\nOptions:
\na. 720 kilometers
\nb. 820 kilometers
\nc. 5,000 kilometers
\nd. 5,100 kilometers<\/p>\n

Answer: 720 kilometers<\/p>\n

Explanation:
\nGiven,
\nA plane flew from Chicago to Flagstaff is 2,190 km and another plane flew from Chicago to Oakland is 2,910.
\nSo 2910-2190= 720 km.
\nThus the correct answer is option a.<\/p>\n

Question 5.
\nTori buys 27 packages of miniature racing cars. Each package contains 5 cars. About how many miniature racing cars does Tori buy?
\nOptions:
\na. 15
\nb. 32
\nc. 100
\nd. 150<\/p>\n

Answer: 150<\/p>\n

Explanation:
\nGiven,
\nTori buys 27 packages of miniature racing cars.
\nEach package contains 5 cars.
\nLet\u2019s round off 27 packages to 30 and each package contains 5 cars, which means 30\u00d75=150.
\nThus the correct answer is option d.<\/p>\n

Question 6.
\nWhich of the following equations represents the Distributive Property?
\nOptions:
\na. 3 \u00d7 4 = 4 \u00d7 3
\nb. 9 \u00d7 0 = 0
\nc. 5 \u00d7 (3 + 4) = (5 \u00d7 3) + (5 \u00d7 4)
\nd. 6 \u00d7 (3 \u00d7 2) = (6 \u00d7 3) \u00d7 2<\/p>\n

Answer: 5 \u00d7 (3 + 4) = (5 \u00d7 3) + (5 \u00d7 4)<\/p>\n

Explanation:
\nDistributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 43<\/h3>\n

Multiply 3-Digit and 4-Digit Numbers with Regrouping<\/strong><\/p>\n

Estimate. Then find the product.<\/strong><\/p>\n

Question 1.
\nEstimate: 4,000<\/span>
\n\"Go<\/p>\n

Question 2.
\n5,339
\n\u00d7\u00a0 \u00a0 \u00a06
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 30,000
\nProduct: 32,034<\/p>\n

Explanation:
\nRound off 5,339 to 5000 then 5000\u00d76= 30,000.
\n5,339
\n\u00d7\u00a0 \u00a0 \u00a06<\/span>
\n32,034
\nThus the product is 32,034.<\/p>\n

Question 3.
\n$ 8 7 9
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a08
\n———-
\nEstimate: $ ________
\nProduct: $ _________<\/p>\n

Answer:
\nEstimate: $7,200.
\nProduct: $7,032.<\/p>\n

Explanation: Round off 879 to 900 then 900\u00d78= 7,200.
\n$ 8 7 9
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a08<\/span>
\n$7,032
\nThus the product is $7,032<\/p>\n

Question 4.
\n3,182
\n\u00d7\u00a0 \u00a0 5
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 15,000
\nProduct: 15,910<\/p>\n

Explanation: Round off 3,182 to 3000 then 3000\u00d75= 15,000.
\n3,182
\n\u00d7\u00a0 \u00a0 5<\/span>
\n15,910
\nThus the product is 15,910.<\/p>\n

Question 5.
\n4,616
\n\u00d7\u00a0 \u00a0 \u00a03
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 15,000
\nProduct: 13,848<\/p>\n

Explanation: Round off 4,616 to 5,000 then 5000\u00d73= 15,000.
\n4,616
\n\u00d7\u00a0 \u00a0 \u00a03<\/span>
\n13,848
\nThus the product is 13,848.<\/p>\n

Question 6.
\n2,854
\n\u00d7 9
\n———-
\nEstimate: $ ________
\nProduct: $ _________<\/p>\n

Answer:
\nEstimate: 27,000
\nProduct: 25,686<\/p>\n

Explanation: Round off 2,854 to 3000 then 3000\u00d79= 27,000.
\n2,854
\n\u00d7\u00a0 \u00a0 \u00a0 9<\/span>
\n25,686
\nThus the product is 25,686.<\/p>\n

Question 7.
\n7,500
\n\u00d7 2
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 16,000
\nProduct: 15,000<\/p>\n

Explanation: Round off 7,500 to 8000 then 8000\u00d72= 16,000.
\n7,500
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a02<\/span>
\n15,000
\nThus the product is 15,000.<\/p>\n

Question 8.
\n9 4 2
\n\u00d7\u00a0 \u00a0 7
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 6,300
\nProduct: 6,594<\/p>\n

Explanation: Round off 942 to 900 then 900\u00d77= 6,300.
\n9 4 2
\n\u00d7\u00a0 \u00a0 7<\/span>
\n6,594
\nThus the product is 6,594.<\/p>\n

Question 9.
\n1,752
\n\u00d7\u00a0 \u00a0 \u00a06
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 12,000.
\nProduct: 10,512.<\/p>\n

Explanation: Round off 1,752 to 2000 then 2000\u00d76= 12,000.
\n1,752
\n\u00d7\u00a0 \u00a0 \u00a06<\/span>
\n10,512
\nThus the product is 10,512.<\/p>\n

Question 10.
\n5 5 0
\n\u00d7\u00a0 \u00a0 9
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 5,400
\nProduct: 4,950<\/p>\n

Explanation: Round off 550 to 600 then 600\u00d79= 5,400.
\n5 5 0
\n\u00d7\u00a0 \u00a0 9<\/span>
\n4,950
\nThus the product is 4,950.<\/p>\n

Question 11.
\n6,839
\n\u00d7\u00a0 \u00a0 \u00a04
\n———-
\nEstimate: ________
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 28,000
\nProduct: 27,356<\/p>\n

Explanation: Round off 6,839 to 7000 then 7000\u00d74= 28,000.
\n6,839
\n\u00d7\u00a0 \u00a0 \u00a04<\/span>
\n27,356
\nThus the product is 27,356.<\/p>\n

Question 12.
\n$ 9,614
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a0 3
\n———-
\nEstimate: $ ________
\nProduct: $ _________<\/p>\n

Answer:
\nEstimate: 60,000.
\nProduct: 57,684.<\/p>\n

Explanation: Round off 9,614 to 10,000 then 10,000\u00d76= 60,000.
\n$ 9,614
\n\u00d7\u00a0 \u00a0 \u00a0 3<\/span>
\n57,684
\nThus the product is 57,684.<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 13.
\nLafayette County has a population of 7,022 people. Columbia County\u2019s population is 8 times as great as Lafayette County\u2019s population. What is the population of Columbia County?
\n_____ people<\/p>\n

Answer: 56,176 people<\/p>\n

Explanation:
\nLafayette County has a population of 7,022 people and Columbia County\u2019s population is 8 times Lafayette County which means 7,022\u00d78= 56,176.
\nTherefore the population of Columbia County is 56,176.<\/p>\n

Question 14.
\nA seafood company sold 9,125 pounds of fish last month. If 6 seafood companies sold the same amount of fish, how much fish did the 6 companies sell last month in all?
\n_____ pounds<\/p>\n

Answer: 54,750 pounds.<\/p>\n

Explanation:
\nAs the seafood company sold 9,125 pounds of fishes last month and 6 seafood companies also sold the same amount which means 9,125\u00d76= 54,750 pounds.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 44<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nBy recycling 1 ton of paper, 6,953 gallons of water are saved. How many gallons of water are saved by recycling 4 tons of paper?
\nOptions:
\na. 24,602 gallons
\nb. 27,612 gallons
\nc. 27,812 gallons
\nd. 28,000 gallons<\/p>\n

Answer: 27,812 gallons<\/p>\n

Explanation:
\nGiven that,
\nBy recycling 1 ton of paper, 6,953 gallons of water are saved.
\nSo 4 tons of paper can save 6,953\u00d74= 27,812.
\nThe correct answer is option c.<\/p>\n

Question 2.
\nEsteban counted the number of steps it took him to walk to school. He counted 1,138 steps. How many steps does he take walking to and from school each day?
\nOptions:
\na. 2,000
\nb. 2,266
\nc. 2,276
\nd. 22,616<\/p>\n

Answer: 2,276<\/p>\n

Explanation:
\nGiven, Esteban counted the number of steps it took him to walk to school. He counted 1,138 steps.
\nAs Esteban counted 1,138 steps to school and from school, it will be 1,138+1,138=2,276 steps
\nThe correct answer is option c.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nA website has 13,406 people registered. What is the word form of this number?
\nOptions:
\na. thirty thousand, four hundred six
\nb. thirteen thousand, four hundred sixty
\nc. thirteen thousand, four hundred six
\nd. thirteen thousand, six hundred six<\/p>\n

Answer: thirteen thousand, four hundred six<\/p>\n

Explanation:
\n13,406 in words are thirteen thousand four hundred six.
\nThe correct answer is option c.<\/p>\n

Question 4.
\nIn one year, the McAlister family drove their car 15,680 miles. To the nearest thousand, how many miles did they drive their car that year?
\nOptions:
\na. 15,000 miles
\nb. 15,700 miles
\nc. 16,000 miles
\nd. 20,000 miles<\/p>\n

Answer: 16,000 miles<\/p>\n

Explanation: 15,680 nearest thousand is 16,000.
\nThe correct answer is option c.<\/p>\n

Question 5.
\nConnor scored 14,370 points in a game. Amy scored 1,089 fewer points than Connor. How many points did Amy score?
\nOptions:
\na. 12,281
\nb. 13,281
\nc. 15,359
\nd. 15,459<\/p>\n

Answer: 13,281<\/p>\n

Explanation:
\nConnor scored 14,370 points and Amy scored 1,089 fewer points.
\nSo Amy score is 14,370-1089= 13,281.
\nThe correct answer is option b.<\/p>\n

Question 6.
\nLea buys 6 model cars that each cost $15. She also buys 4 bottles of paint that each cost $11. How much does Lea spend in all on model cars and paint?
\nOptions:
\na. $134
\nb. $90
\nc. $44
\nd. $36<\/p>\n

Answer: $134<\/p>\n

Explanation: Lea buys 6 model cars that each cost $15.
\nSo the total cost for cars is $15\u00d76= $90.
\nAnd 4 bottles of paint that each cost $11.
\nSo the total cost of the paints is $11\u00d74= $44. Then
\n$90+$44= $134.
\nThe correct answer is option a.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 45<\/h3>\n

Solve Multistep Problems Using Equations<\/strong><\/p>\n

Find the value of n.<\/strong><\/p>\n

Question 1.
\n4 \u00d7 27 + 5 \u00d7 34 – 94 = n
\n108 + 5 \u00d7 34 – 94 = n
\n108 + 170 – 94 = n
\n278 – 94 = n
\n184 = n<\/p>\n

Question 2.
\n7 \u00d7 38 + 3 \u00d7 45 – 56 = n
\n_____ = n<\/p>\n

Answer: 345<\/p>\n

Explanation:
\n7 \u00d7 38 + 3 \u00d7 45 – 56 = n
\nn = 266 + 135 – 56
\nn = 401 – 56
\nn = 345<\/p>\n

Question 3.
\n6 \u00d7 21 + 7 \u00d7 29 – 83 = n
\n_____ = n<\/p>\n

Answer: 246<\/p>\n

Explanation:
\n6 \u00d7 21 + 7 \u00d7 29 – 83 = n
\nn = 126 + 203 – 83
\nn = 329 – 83
\nn = 246<\/p>\n

Question 4.
\n9 \u00d7 19 + 2 \u00d7 57 – 75 = n
\n_____ = n<\/p>\n

Answer: 210<\/p>\n

Explanation:
\n9 \u00d7 19 + 2 \u00d7 57 – 75 = n
\nn = 171 + 114 – 75
\nn = 285 – 75
\nn = 210.<\/p>\n

Question 5.
\n5 \u00d7 62 + 6 \u00d7 33 – 68 = n
\n_____ = n<\/p>\n

Answer: 440<\/p>\n

Explanation:
\n5 \u00d7 62 + 6 \u00d7 33 \u2013 68= n
\nn = 310 + 198 – 68
\nn = 508 – 68
\nn = 440<\/p>\n

Question 6.
\n8 \u00d7 19 + 4 \u00d7 49 – 39 = n
\n_____ = n<\/p>\n

Answer: 309<\/p>\n

Explanation:
\n8 \u00d7 19 + 4 \u00d7 49 – 39 = n
\nn =152 + 196 – 39
\nn = 348 – 39
\nn = 309<\/p>\n

Problem Solving<\/strong><\/em><\/p>\n

Question 7.
\nA bakery has 4 trays with 16 muffins on each tray. The bakery has 3 trays of cupcakes with 24 cupcakes on each tray. If 15 cupcakes are sold, how many muffins and cupcakes are left?
\n_____ muffins and cupcakes<\/p>\n

Answer: 121 muffins and cupcakes.<\/p>\n

Explanation:
\nGiven,
\nA bakery has 4 trays with 16 muffins on each tray.
\nThe bakery has 3 trays of cupcakes with 24 cupcakes on each tray.
\n4 \u00d7 16 + 3 \u00d7 24 – 15 = n
\n64 + 3 \u00d7 24 – 15 = n
\n64 + 72 – 15 = n
\n136 – 15 = n
\n121 = n
\nThus 121 muffins and cupcakes are left.<\/p>\n

Question 8.
\nKaty bought 5 packages of stickers with 25 stickers in each package. She also bought 3 boxes of markers with 12 markers in each box. If she receives 8 stickers from a friend, how many stickers and markers does Katy have now?
\n_____ stickers and markers<\/p>\n

Answer: 69 stickers and markers<\/p>\n

Explanation:
\nGiven,
\nKaty bought 5 packages of stickers with 25 stickers in each package.
\nShe also bought 3 boxes of markers with 12 markers in each box.
\n5 \u00d7 25 + 3 \u00d7 12 + 8 = n
\n125 + 3 \u00d7 12 + 8 = n
\n125 + 36 + 8 = n
\n169 = n
\nThus Katy have 69 stickers and markers.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 46<\/h3>\n

Lesson Check<\/strong><\/em><\/p>\n

Question 1.
\nWhat is the value of n?
\n9 \u00d7 23 + 3 \u00d7 39 – 28 = n
\nOptions:
\na. 240
\nb. 296
\nc. 2,310
\nd. 8,162<\/p>\n

Answer: 296<\/p>\n

Explanation:
\nGiven the expression,
\n9 \u00d7 23 + 3 \u00d7 39 \u2013 28 = n
\nn = 207 + 117 – 28
\nn = 324 – 28
\nn = 296
\nThus the correct answer is option b.<\/p>\n

Question 2.
\nWhich expression has a value of 199?
\nOptions:
\na. 4 \u00d7 28 + 6 \u00d7 17 – 15
\nb. 4 \u00d7 17 + 6 \u00d7 28 – 38
\nc. 4 \u00d7 38 + 6 \u00d7 15 – 28
\nd. 4 \u00d7 15 + 6 \u00d7 38 – 88<\/p>\n

Answer: 4 \u00d7 28 + 6 \u00d7 17 – 15<\/p>\n

Explanation:
\nGiven the expression,
\n4 \u00d7 28 + 6 \u00d7 17 – 15 = n
\nn = 112 + 102 – 15
\nn = 214 – 15
\nn = 199.
\nThus the correct answer is option a.<\/p>\n

Spiral Review<\/strong><\/em><\/p>\n

Question 3.
\nWhich expression shows how you can multiply 9 \u00d7 475 using expanded form and the Distributive Property?
\nOptions:
\na. (9 \u00d7 4) + (9 \u00d7 7) + (9 \u00d7 5)
\nb. (9 \u00d7 4) + (9 \u00d7 70) + (9 \u00d7 700)
\nc. (9 \u00d7 400) + (9 \u00d7 70) + (9 \u00d7 5)
\nd. (9 \u00d7 400) + (9 \u00d7 700) + (9 \u00d7 500)<\/p>\n

Answer: (9 \u00d7 400) + (9 \u00d7 70) + (9 \u00d7 5)<\/p>\n

Explanation:
\nDistributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.
\n9 \u00d7 475= (9\u00d7400)+(9\u00d770)+(9\u00d75)
\nThus the correct answer is option c.<\/p>\n

Question 4.
\nWhich equation best represents the comparison sentence?
\n32 is 8 times as many as 4
\nOptions:
\na. 32 = 8 \u00d7 4
\nb. 32 \u00d7 8 = 4
\nc. 32 = 8 + 4
\nd. 8 + 4 = 32<\/p>\n

Answer: 32 = 8 \u00d7 4<\/p>\n

Explanation:
\nThe equation for the sentence 32 is 8 times as many as 4 is 32 = 8 \u00d7 4.
\nThus the correct answer is option a.<\/p>\n

Question 5.
\nBetween which pair of numbers is the exact product of 379 and 8?
\nOptions:
\na. between 2,400 and 2,500
\nb. between 2,400 and 2,800
\nc. between 2,400 and 3,000
\nd. between 2,400 and 3,200<\/p>\n

Answer: between 2,400 and 3,200<\/p>\n

Explanation:
\n379 \u00d7 8 = 3,032
\nThus the correct answer is option d.<\/p>\n

Question 6.
\nWhich of the following statements shows the halving and doubling strategy to find 28 \u00d7 50?
\nOptions:
\na. 28 \u00d7 50 = 14 \u00d7 100
\nb. 28 \u00d7 50 = (14 \u00d7 25) \u00d7 (14 \u00d7 25)
\nc. 28 \u00d7 50 = (20 \u00d7 50) \u00d7 (8 \u00d7 50)
\nd. 28 \u00d7 50 = 2 \u00d7 (14 \u00d7 25)<\/p>\n

Answer: 28 \u00d7 50 = 14 \u00d7 100<\/p>\n

Explanation:
\n28\u00d750 = 14\u00d7100
\nThus the correct answer is option a.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 47<\/h3>\n

Lesson 2.1<\/strong><\/em><\/p>\n

Write a comparison sentence.<\/p>\n

Question 1.
\n27 = 3 \u00d7 9
\n____ is ____ times as many as ____<\/p>\n

Answer: 27 is 3 times as many as 9.<\/p>\n

Question 2.
\n7 \u00d7 8 = 56
\n____ times as many as ____ is ____<\/p>\n

Answer: 7 times as many as 8 is 56.<\/p>\n

Lessons 2.3, 2.5\u20132.6<\/strong><\/em><\/p>\n

Find the product.<\/strong><\/p>\n

Question 3.
\n2 \u00d7 700 = ____<\/p>\n

Answer: 1400<\/p>\n

Explanation:
\n2 \u00d7 7 = 14
\n2 \u00d7 700 = 1400<\/p>\n

Question 4.
\n6 \u00d7 6,000 = ____<\/p>\n

Answer: 36000<\/p>\n

Explanation:
\n6 \u00d7 6 = 36
\n6 \u00d7 6,000 = 36,000<\/p>\n

Question 5.
\n7 \u00d7 13 = ____<\/p>\n

Answer: 91<\/p>\n

Explanation:
\nThe multiple of 7 and 13 is 91.
\n7 \u00d7 13 = 91<\/p>\n

Question 6.
\n4 \u00d7 19 = ____<\/p>\n

Answer: 76<\/p>\n

Explanation:
\nThe product of 4 and 19 is 76.<\/p>\n

Question 7.
\n5 \u00d7 216 = ____<\/p>\n

Answer: 1080<\/p>\n

Explanation:
\nThe product of 5 and 216 is 1080.<\/p>\n

Question 8.
\n9 \u00d7 1,362 = ____<\/p>\n

Answer: 12258<\/p>\n

Explanation:
\nThe product of 9 and 1,362 is 12,258.<\/p>\n

Lessons 2.2, 2.9<\/strong><\/em><\/p>\n

Draw a diagram. Write an equation and solve.<\/strong><\/p>\n

Question 9.
\nJulia saw 5 times as many cars as trucks in a parking lot. If she saw 30 cars and trucks altogether in the parking lot, how many were trucks?
\n____ trucks<\/p>\n

Answer: 5 trucks<\/p>\n

Explanation:
\nGiven,
\nJulia saw 5 times as many cars as trucks in a parking lot.
\n25 + 5 = 30
\n25\/5 = 5
\nThus there are 5 trucks altogether in the parking lot.<\/p>\n

Question 10.
\nIvan has 6 times as many blue beads as red beads. He has 49 red and blue beads in all. How many blue beads does Ivan have?
\n____ blue beads<\/p>\n

Answer: 42 blue beads<\/p>\n

Explanation:
\nGiven that,
\nIvan has 6 times as many blue beads as red beads.
\nHe has 49 red and blue beads in all.
\nLet x be the number of blue beads
\ny be the number of red beads
\nWe know that,
\nx + y = 49
\nx = 49 – y ——> eq. 1
\nx = 6y ———> eq. 2
\nEquate equation 1 and 2
\n49 – y = 6y
\n6y + y = 49
\n7y = 49
\ny = 49\/7
\ny = 7
\nNow find the value of x
\nx = 6y
\nx = 6 \u00d7 7 = 42
\nTherefore the answer is 42 blue beads.<\/p>\n

Question 11.
\nThere are 6 rows with 18 chairs in each row. In the center of the chairs, 4 rows of 6 chairs are brown. The rest of the chairs are blue. How many chairs are blue?
\n____ blue chairs<\/p>\n

Answer: 84 blue chairs<\/p>\n

Explanation:
\nGiven that,
\nThere are 6 rows with 18 chairs in each row.
\nIn the center of the chairs, 4 rows of 6 chairs are brown. The rest of the chairs are blue.
\n18 \u00d7 6 = 108
\n4 \u00d7 6 = 24
\nTo find the number of chairs that are blue
\nWe have to subtract 24 from 108.
\n108 – 24 = 84
\nThus there are 84 blue chairs.<\/p>\n

<\/a>Common Core – Multiply by 1-Digit Numbers – Page No. 48<\/h3>\n

Lessons 2.7, 2.10\u20132.11<\/strong><\/em><\/p>\n

Estimate. Then record the product.<\/strong><\/p>\n

Question 1.
\n3 1 8
\n\u00d7\u00a0 \u00a03
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 900
\nProduct: 954<\/p>\n

Explanation:
\nThe number close to 318 is 300.
\n300 \u00d7 3 = 900.
\nThe estimated product of 318 and 3 is 900.
\n3 1 8
\n\u00d7\u00a0 3<\/span>
\n954
\nThe product of 318 and 3 is 954.<\/p>\n

Question 2.
\n$ 5 2 2
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a09
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 4500
\nProduct: 4698<\/p>\n

Explanation:
\nThe number close to 522 is 500.
\n500 \u00d7 9 = 4500
\nThe estimated product of 522 and 9 is 4500.
\n$ 5 2 2
\n\u00d7\u00a0 \u00a0 \u00a0 9<\/span>
\n$4698<\/p>\n

Question 3.
\n$ 3 6
\n\u00d7\u00a0 \u00a0 6
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 240
\nProduct: 216<\/p>\n

Explanation:
\nThe number close to 36 is 40.
\n40 \u00d7 6 = 240
\nThe estimated product of 40 and 6 is 240.
\n$ 3 6
\n\u00d7\u00a0 6<\/span>
\n216<\/p>\n

Question 4.
\n5 7
\n\u00d7 8
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 480
\nProduct: 456<\/p>\n

Explanation:
\nThe number close to 57 is 60.
\n60 \u00d7 8 = 480.
\nThe estimated product of 57 and 8 is 480.
\n5 7
\n\u00d7 8<\/span>
\n456<\/p>\n

Question 5.
\n3,600
\n\u00d7\u00a0 \u00a0 \u00a0 8
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 32,000
\nProduct: 28,800<\/p>\n

Explanation:
\nThe number close to 3600 is 4000.
\n4000 \u00d7 8 = 32,000
\nThe estimated product of 3600 and 8 is 32,000.
\n3,600
\n\u00d7\u00a0 \u00a0 \u00a08<\/span>
\n28,800<\/p>\n

Question 6.
\n$ 9,107
\n\u00d7 5
\n———-
\nEstimate: _______
\nProduct: _________<\/p>\n

Answer:
\nEstimate: 45,000
\nProduct: 45,535<\/p>\n

Explanation:
\nThe number close to 9107 is 9000.
\n9000 \u00d7 5 = 45,000
\nThe estimated product of 9107 and 5 is 45,000.
\n$ 9,107
\n\u00d7\u00a0 \u00a0 \u00a0 \u00a05<\/span>
\n45,535<\/p>\n

Lesson 2.8<\/strong><\/em><\/p>\n

Find the product. Tell which strategy you used.<\/strong><\/p>\n

Question 7.
\n(4 \u00d7 10) \u00d7 10 = ______
\nExplain:
\n_________<\/p>\n

Answer: 400, Associative property<\/p>\n

Explanation:
\n(4 \u00d7 10) \u00d7 10 = 4 \u00d7 10 \u00d7 10
\n40 \u00d7 10 = 400<\/p>\n

Question 8.
\n2 \u00d7 898 = ______
\nExplain:
\n_________<\/p>\n

Answer: 1796, Distributive property<\/p>\n

Explanation:
\n2 \u00d7 898 = (2 \u00d7 800) + (2 \u00d7 90) + (2 \u00d7 8)
\n1600 + 180 + 16 = 1796<\/p>\n

Question 9.
\n______
\nExplain:
\n_________<\/p>\n

Answer:<\/p>\n

Lessons 2.4, 2.12<\/strong><\/em><\/p>\n

Question 10.
\nSchool pennants cost $18 each. Ms. Lee says she will pay $146 for 7 pennants. Is her answer reasonable? Explain.
\n______<\/p>\n

Answer: No<\/p>\n

Explanation:
\nGiven,
\nSchool pennants cost $18 each. Ms. Lee says she will pay $146 for 7 pennants.
\n18 multiplied by 7 is equal to 126 when Ms. Lee is buying the pennants for 146.<\/p>\n

Question 11.
\nCaleb draws 14 dogs on each of 4 posters. He draws 18 cats on each of 6 other posters. If he draws 5 more dogs on each poster with dogs, how many dogs and cats does he draw?
\n______ dogs and cats<\/p>\n

Answer: 184 dogs and cats<\/p>\n

Explanation:
\nGiven,
\nCaleb draws 14 dogs on each of 4 posters. He draws 18 cats on each of 6 other posters.
\n14 \u00d7 4 = 56
\n18 \u00d7 6 = 108
\n5 \u00d7 4 =20
\nTotal = 56 + 108 + 20 = 184
\nThus he draw 184 dogs and cats.<\/p>\n

Conclusion<\/em><\/h3>\n

Kids have a strong grip on the ch 2 concepts using\u00a0Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers<\/a> pdf and secure the highest marks in the exams. Moreover, you can also find other grades Go Math HMH Answer Keys on our site ie., Ccssmathanswers.com<\/p>\n","protected":false},"excerpt":{"rendered":"

Hello Kids! Here is\u00a0Go Math Grade 4 Answer Key Homework Practice FL Chapter 2 Multiply by 1-Digit Numbers in pdf. Without wasting any time just refer to the Ch 2 Answer Key of Go Math Grade 4 and gain proper knowledge about the concept. Go Math Grade 4 Answer Key provided here will increase your … Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8869,"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-4-chapter-2-multiply-by-1-digit-numbers-pages-21-47-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2638"}],"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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=2638"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2638\/revisions"}],"predecessor-version":[{"id":92837,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/2638\/revisions\/92837"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8869"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=2638"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=2638"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=2638"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}