Go Math Answer Key

Go Math Solutions Resource is the best guide for students of 4th grade. In Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers you will find the questions and their detailed solutions in an easy manner. By using the 4th Standard Go Math solutions key everyone can prepare all chapter 2 topics easily & score well in the exams. This Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers will let students grasp the concepts properly & make them practice more regularly.

Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers

Practicing each and every step by step explained questions will provide immense results. Students can easily understand the topics of chapter 2 Multiply by 1-Digit Numbers via Go Math 4th Grade Answer Key. You will look up the concepts called Multiplication Comparisons, Multiplying using Distributive property and Expanded form, Estimate products, etc. clearly through this Go Math Grade 4 Answer Key Chapter 2 Multiply by 1-Digit Numbers for standard knowledge of the subject.

Lesson 1: Algebra • Multiplication Comparisons

• Common Core – Multiplication Comparisons – Page No. 67
• Common Core – Multiplication Comparisons – Lesson Check – Page No. 68
• Multiplication Comparisons – Page No. 71

Lesson 2: Algebra • Comparison Problems

• Common Core – Comparison Problems – Page No. 73
• Common Core – Comparison Problems – Lesson Check – Page No. 74
• Comparison Problems – Page No. 77
• Comparison Problems – Page No. 78

Lesson 3: Multiply Tens, Hundreds, and Thousands

• Common Core – Multiply Tens, Hundreds, and Thousands – Page No. 79
• Common Core – Multiply Tens, Hundreds, and Thousands – Lesson Check – Page No. 80
• Multiply Tens, Hundreds, and Thousands – Page No. 83
• Multiply Tens, Hundreds, and Thousands – Page No. 84

Lesson 4: Estimate Products

• Common Core – Estimate Products – Page No. 85
• Common Core – Estimate Products – Lesson Check – Page No. 86
• Estimate Products – Page No. 89
• Estimate Products – Page No. 90

Lesson 5: Investigate • Multiply Using the Distributive Property

• Common Core – Multiply Using the Distributive Property – Page No. 91
• Common Core – Multiply Using the Distributive Property – Lesson Check – Page No. 92
• Multiply Using the Distributive Property – Page No. 95
• Multiply Using the Distributive Property – Page No. 96

Lesson 6: Multiply Using Expanded Form

• Common Core – Multiply Using Expanded Form – Page No. 97
• Common Core – Multiply Using Expanded Form – Lesson Check – Page No. 98
• Multiply Using Expanded Form – Page No. 101
• Multiply Using Expanded Form – Page No. 102

Lesson 7: Multiply Using Partial Products

• Common Core – Multiply Using Partial Products – Page No. 103
• Common Core – Multiply Using Partial Products – Lesson Check – Page No. 104
• Multiply Using Partial Products – Page No. 105
• Multiply Using Partial Products – Page No. 106
• Multiply Using Partial Products – Page No. 109
• Multiply Using Partial Products – Page No. 110

Lesson 8: Multiply Using Mental Math

• Common Core – Multiply Using Mental Math – Page No. 111
• Common Core – Multiply Using Mental Math – Lesson Check – Page No. 112
• Multiply Using Mental Math – Page No. 115
• Multiply Using Mental Math – Page No. 116

Lesson 9: Problem Solving • Multistep Multiplication Problems

• Common Core – Problem Solving Multistep Multiplication Problems – Page No. 117
• Common Core – Problem Solving Multistep Multiplication Problems – Lesson Check – Page No. 118
• Problem Solving Multistep Multiplication Problems – Page No. 121

Lesson 10: Multiply 2-Digit Numbers with Regrouping

• Common Core – Multiply 2-Digit Numbers with Regrouping – Page No. 123
• Common Core – Multiply 2-Digit Numbers with Regrouping – Lesson Check – Page No. 124
• Multiply 2-Digit Numbers with Regrouping – Page No. 127
• Multiply 2-Digit Numbers with Regrouping – Page No. 128

Lesson 11: Multiply 3-Digit and 4-Digit Numbers with Regrouping

• Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 129
• Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Lesson Check – Page No. 130

Lesson 12: Algebra • Solve Multistep Problems Using Equations

• Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 133
• Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 134
• Common Core – Solve Multistep Problems Using Equations – Page No. 135
• Common Core – Solve Multistep Problems Using Equations – Lesson Check – Page No. 136

Chapter 2 Review/Test

• Review/Test – Page No. 137
• Review/Test – Page No. 138
• Review/Test – Page No. 139
• Review/Test – Page No. 140
• Review/Test – Page No. 141
• Review/Test – Page No. 142
• Page No. 147
• Page No. 148

Common Core – Multiplication Comparisons – Page No. 67

Write a comparison sentence.

Question 1.
6 × 3 = 18
6 times as many as 3 is 18.

Question 2.
63 = 7 × 9

Answer: 63 is 7 times as many as 9.

Explanation:

Question 3.
5 × 4 = 20

Answer: 5 times as many as 4 is 20.

Explanation:

Question 4.
48 = 8 × 6

Answer: 48 is 6 times as many as 8.

Explanation:

Write an equation.

Question 5.
2 times as many as 8 is 16.

Answer: 2 × 8 = 16

Explanation:

Question 6.
42 is 6 times as many as 7.

Answer: 42 = 6 × 7

Explanation:

Question 7.
3 times as many as 5 is 15.

Answer: 3 × 5 = 15

Explanation:

Question 8.
36 is 9 times as many as 4.
Answer: 36 = 9 × 4

Explanation:

Question 9.
72 is 8 times as many as 9.
Answer: 72 = 8 × 9

Explanation:

Question 10.
5 times as many as 6 is 30.
Answer: 5 × 6 = 30

Explanation:

Problem Solving

Question 11.
Alan is 14 years old. This is twice as old as his brother James is. How old is James?

Answer: 7 years old.

Explanation:
Alan’s age is 14 years old and his brother is James is twice younger than Alan, So James’s age is 14÷2= 7.

Question 12.
There are 27 campers. This is nine times as many as the number of counselors. How many counselors are there?

Answer: 3 counselors.

Explanation: 27 campers= 9× no.of counselors,
So no.of counselors are 27÷9= 3.

Question 13.

Draw a model, and write an equation to represent “4 times as many as 3 is 12.” Explain your work.

Answer: 4×3= 12.

Explanation:

Common Core – Multiplication Comparisons – Lesson Check – Page No. 68

Question 1.
Which equation best represents the comparison sentence?
24 is 4 times as many as 6.
Options:
a. 24 × 4 = 6
b. 24 = 4 × 6
c. 24 = 4 + 6
d. 4 + 6 = 24

Answer: b

Explanation:

Question 2.
Which comparison sentence best represents the equation?
5 × 9 = 45
Options:
a. 5 more than 9 is 45.
b. 9 is 5 times as many as 45.
c. 5 is 9 times as many as 45.
d. 45 is 5 times as many as 9.

Answer: d

Explanation:

Spiral Review

Question 3.
Which of the following statements correctly compares the numbers?
Options:
a. 273,915 > 274,951
b. 134,605 < 143,605
c. 529,058 > 530,037
d. 452,731 > 452,819

Answer: b

Explanation: 134,605 is lesser compared to 143,605.

Question 4.
What is the standard form for
200,000 + 80,000 + 700 + 6?
Options:
a. 2,876
b. 28,706
c. 208,706
d. 280,706

Answer: d

Explanation: 200,000+80,000+700+6= 280,706.

Question 5.
Sean 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?
Options:
a. 53,615
b. 91,717
c. 91,815
d. 91,817

Answer: d

Explanation: Sean’s score is 72,491 and Leah’s score is 19,326 more than Sean’s score. So Sean score is 72,491+19,326 = 91,817.

Question 6.
A baseball stadium has 38,496 seats. Rounded to the nearest thousand, how many seats is this?
Options:
a. 38,000
b. 38,500
c. 39,000
d. 40,000

Answer: b

Explanation: Round off to nearest thousand is 38,000.

Multiplication Comparisons – Page No. 71

Question 1.
Maria’s dog weighs 6 times as much as her rabbit. Together the pets weigh 56 pounds. What does Maria’s dog weigh? Draw a model. Let n represent the unknown.

Answer: 48 Pounds.

Explanation: Let the weight of the rabbit be X and the dog’s weight is 6X. Both pet’s weight is 56 pounds i.e 6X+X=56, 7X=56 then X is 8.
Rabbit’s weight is 8 and Dog’s weight is 6×8= 48.

Draw a model. Write an equation and solve.

Question 2.
Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many cats did Kim train?

Answer: 7

Explanation: Let the cats trained to be X and dogs trained to be 3X.
Total Cats and Dogs she trained are 28, then X+3X= 28 and X= 7.
Therefore Cats trained are 7.

Question 3.
How many more dogs than cats did Kim train?

Answer: 21 dogs

Explanation: 3×7= 21.

Practice: Copy and Solve Draw a model.
Write an equation and solve.

Question 4.
At the dog show, there are 4 times as many boxers as spaniels. If there are a total of 30 dogs, how many dogs are spaniels?

Answer: 24.

Explanation: Let spaniels be S and the boxers be 4S. As the total is 30, S+4S=30 then 5S=30.
Therefore S is 6. Spaniels are 6 and boxers are 4 times as many as spaniels. So boxers are 4×6=24.

Question 5.
There are 5 times as many yellow labs as terriers in the dog park. If there are a total of 18 dogs, how many dogs are terriers?

Answer: 3.

Explanation: Let the Terriers be T and yellow labs be 5T. As total dogs are 18, 5T+T=18, and therefore T=18/6 which is 3. Terriers are 3.

Question 6.
Ben has 3 times as many guppies as goldfish. If he has a total of 20 fish, how many guppies does he have?

Answer: 15.

Explanation: Let Goldfish be X and Guppies be 3X, So X+3X= 20.
Therefore X= 5. So guppies are 3×5= 15.

Question 7.
Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 24 birds. How many more robins did she see than cardinals?

Answer: 4 cardinals and 20 robins.

Explanation: Let the cardinals be X and robins be 5X. Then the total is 5X+X=24 then X= 4. So Carlita saw 4 cardinals and 5×4= 20 robins.

Multiplication Comparisons – Page No. 72

Question 8.
To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11 miles. Finally, he turns north and drives 4 miles to the dog show. How far north of Mr. Luna’s home is the dog show? To solve the problem, Dara and Cliff drew diagrams. Which diagram is correct? Explain.

Answer: Cliff diagram is correct.

Explanation: Mr. Luna’s travels east and west are irrelevant to the question. As he drives 3 miles north, then he drives 4 more miles north. 3 + 4 = 7, so Mr. Luna ends up 7 miles north of his home.

Question 9.
Use Reasoning Valerie and Bret have a total of 24 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have?
Valerie’s ribbons: ______          Bret’s ribbons: ______

Answer: Valerie has 8 and Bret has 16.

Explanation: Let the Valerie ribbons be X and Bret’s ribbons be 2X and the total be X+2X= 24. Therefore X= 8.
Valerie has 8 and Bret has 2×8= 16.

Question 10.
Noah built a fenced dog run that is 8 yards long and 6 yards wide. He placed posts at every corner and every yard along the length and width of the run. How many posts did he use?

Answer: 2×7+2×5+4(as he posted at every corner)= 14+10+4= 28 posts

Explanation: As there are 7 posts along one 8 yard side and 5 posts along one 6 yard side, so he used 2×7+2×5+4(as he posted at every corner)= 14+10+4= 28 posts

Question 11.
Last weekend, Mandy collected 4 times as many shells as Cameron. Together, they collected 40 shells. How many shells did Mandy collect? Complete the bar model. Then, write an equation and solve.

 

Common Core – Comparison Problems – Page No. 73

Draw a model. Write an equation and solve.

Question 1.
Stacey 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?

Question 2.
At 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?
______ monkeys

Answer: 18 monkeys.

Explanation:

Question 3.
Fred’s frog jumped 7 times as far as Al’s frog. The two frogs jumped a total of 56 inches. How far did Fred’s frog jump?

Answer: 49 inches.

Explanation:

Question 4.
Sheila has 5 times as many markers as Dave. Together, they have 18 markers. How many markers does Sheila have?

Answer:

Explanation: 15 markers.

Problem Solving

Question 5.
Rafael 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?

Answer: 36 white cars.

Explanation: Let 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 9×4= 36.

Question 6.
Sue 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?

Answer: 30 points.

Explanation: Let the first game points be X and second game points be 6X. Sue’s total score is 35 points in two games so 6X+X= 35 then X is 5. Therefore the second game score is 6×5= 30.

Question 7.
Write a problem involving how much more than and solve it. Explain how drawing a diagram helped you solve the problem.

Answer: Mike has 10 chocolates and John has 5 chocolates. How many more chocolates does Chirs have?
5 chocolates more Chirs have.

Explanation: As Mike has 10 chocolates and john has 5 chocolates, Chirs has 5 more chocolates than John.

Common Core – Comparison Problems – Lesson Check – Page No. 74

Question 1.
Sari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have?
Options:
a. 7
b. 14
c. 18
d. 21

Answer: d

Explanation: Let the X be pencil erasers of Sam and Sari erasers be 3X. As Sari and Sam together have 28 erasers. So 3X+X= 28. And X is 7. Then Sari has 3×7= 21.

Question 2.
In Sean’s 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?
Options:
a. 5
b. 12
c. 15
d. 18

Answer: d

Explanation: Let Guppies be X and Goldfishes be 6X. And the total fishes are 21, So X+6X= 21 then X= 3.
So Goldfishes are 6×3= 18.

Spiral Review

Question 3.
Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Options:
a. 3
b. 12
c. 24
d. 27

Answer: d

Explanation: Barbara has 9 stuffed animals and Trish has 3 times as Barbara, So 9×3= 27.

Question 4.
There are 104 students in the fourth grade at Allison’s school. One day, 15 fourth-graders were absent. How many fourth-graders were at school that day?
Options:
a. 89
b. 91
c. 99
d. 119

Answer: a

Explanation: Total students in fourth grade are 104, as 15 students were absent 104-15= 89.

Question 5.
Joshua 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?
Options:
a. Jose, Albert, Joshua
b. Jose, Joshua, Albert
c. Albert, Jose, Joshua
d. Joshua, Albert, Jose

Answer: a

Explanation: As 98<107<112. So Jose, Albert, Joshua.

Question 6.
Alicia has 32 stickers. This is 4 times as many stickers as Benita has. How many stickers does Benita have?
Options:
a. 6
b. 8
c. 9
d. 28

Answer: 8.

Explanation: Let Benita stickers be S and Alicia has 32 stickers, So 4×S= 32. Therefore Benita stickers are 8.

Comparison Problems – Page No. 77

Question 1.
Use the drawing to find 2 × 500.

Answer: 2×= 1000.

Explanation: 2×500 is 2 times 5 hundreds, which is equal to 10 hundreds and 10 hundreds are equal to 1000.

Complete the pattern.

Question 2.
3 × 8 = 2
i. 3 × 80 = _____
ii. 3 × 800 = _____
iii. 3 × 8,000 = _____

Answer: 240, 2400, 24,000.

Explanation: 3×80= 240
3×800= 2400
3×8000= 24,000

Question 3.
6 × 2 = 12
i. 6 × 12 = _____
ii. 6 × 120 = _____
iii. 6 × 1,200 = _____

Answer: 72, 720, 7200.

Explanation: 6×12= 72
6×120= 720
6×1200= 7200.

Question 4.
i. 4 × 5 = _____
ii. 4 × 50 = _____
iii. 4 × 500 = _____
iv. 4 × 5,000 = _____

Answer: 20, 200, 2000, 20,000.

Explanation: 4×5= 20
4×50= 200
4×500= 2000
4×5,000= 20,000.

Find the product.

Question 5.
6 × 500 = 6 × _____ hundreds
= _____ hundreds
= _____

Answer: 6×5 hundreds = 30  hundreds.

Explanation: 6 × 500 = 6 × 5 hundreds = 30 hundreds = 3000

Question 6.
9 × 5,000 = 9 × _____ thousands
= _____ thousands
= _____

Answer: 9 × 5 thousands = 45 thousands.

Explanation: 9 × 5 thousands = 45 thousands. = 45,000.

Find the product.

Question 7.
7 × 6,000 = _____

Answer: 42,000.

Explanation:

Question 8.
4 × 80 = _____

Answer: 320

Explanation:

Question 9.
3 × 500 = _____

Answer: 1500

Explanation:

Use Reasoning Algebra Find the missing factor.

Question 10.
_____ × 9,000 = 63,000

Answer: 7

Explanation: As 7×9= 63

Question 11.
7 × _____ = 56,000

Answer: 8

Explanation: 7×8= 56.

Question 12.
8 × _____ = 3,200

Answer: 4

Explanation: 8×4= 32.

Question 13.
Communicate How does the number of zeros in the product of 8 and 5,000 compare to the number of zeros in the factors? Explain.

Answer: 8×5=40.

Explanation: There are 4 zeros in the product and 3 zeros only in the factors. Because there is a zero in basic fact as 8×5=40.

Comparison Problems – Page No. 78

Question 14.
Joe’s Fun and Sun rents beach chairs. The store rented 300 beach chairs each month in April and in May. The store rented 600 beach chairs each month from June through September. How many beach chairs did the store rent during the 6 months?
a. What do you need to know?

Answer: We need to know about the total number of beach chairs rented during the 6 months.

Question 14.
b. How will you find the number of beach chairs?

Answer: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000

Explanation: We will multiply 2 times 300 and 4 times 600 and the will add the product.

Question 14.
c. Show the steps you use to solve the problem.

Answer: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000.

Question 14.
d. Complete the sentences.
For April and May, a total of ______ beach chairs were rented.

Answer: 600

Explanation: As the store rented 300 beach chairs in April and May, So 300×2= 600.

Question 14.
For June through September, a total of _____ beach chairs were rented.

Answer: 2400

Explanation: As the store rented 600 beach chairs from June to September, So 600×4= 2400.

Question 14.
Joe’s Fun and Sun rented _____ beach chairs during the 6 months.

Answer: 3,000

Explanation: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000.

Question 15.
Mariah makes bead necklaces. Beads are packaged in bags of 50 and bags of 200. Mariah bought 4 bags of 50 beads and 3 bags of 200 beads. How many beads did Mariah buy?

Answer: 800 beads.

Explanation: Mariah bought 4 bags of 50 beads which is 4×50= 200 beads. And 3 bags of 200 beads which is 3×200= 600. Total beads Mariah bought are 200+600= 800.

Question 16.
Carmen has three books of 20 stamps and five books of 10 stamps. How many stamps does Carmen have? Complete the equation using the numbers on the tiles.

______ × 20 + ______ × 10 = ______

Answer: 3, 5, 110

Explanation: 3×20+5×10= 110.

Common Core – Multiply Tens, Hundreds, and Thousands – Page No. 79

Find the product.

Question 1.
4 × 7,000 = 28,000
Think: 4 × 7 = 28
So, 4 × 7,000 = 28,000

Question 2.
9 × 60 = _____

Answer: 540

Explanation: 9×6= 54.

Question 3.
8 × 200 = _____

Answer: 1600

Explanation: 8×2=16

Question 4.
5 × 6,000 = _____

Answer: 30,000.

Explanation: 5×6=30.

Question 5.
7 × 800 = _____

Answer: 5600

Explanation: 7×8= 56.

Question 6.
8 × 90 = _____

Answer: 720

Explanation: 8×9=72.

Question 7.
6 × 3,000 = _____

Answer: 18,000.

Explanation: 6×3= 18.

Question 8.
3 × 8,000 = _____

Answer: 24,000

Explanation: 3×8= 24.

Question 9.
5 × 500 = _____

Answer: 2500.

Explanation: 5×5= 25.

Question 10.
9 × 4,000 = _____

Answer: 36,000

Explanation: 9×4= 36.

Question 11.
7 × 7,000 = _____

Answer: 49,000.

Explanation: 7×7= 49.

Question 12.
3 × 40 = _____

Answer: 120.

Explanation: 3×4= 12.

Question 13.
4 × 5,000 = _____

Answer: 20,000.

Explanation: 4×5= 20.

Question 14.
2 × 9,000 = _____

Answer: 18,000

Explanation: 2×9= 18.

Problem Solving

Question 15.
A bank teller has 7 rolls of coins. Each roll has 40 coins. How many coins does the bank teller have?

Answer: 280 coins.

Explanation: Bank teller has 7 rolls of coins. As each roll has 40 coins, So total coins are 7×40= 280

Question 16.
Theo buys 5 packages of paper. There are 500 sheets of paper in each package. How many sheets of paper does Theo buy?

Answer: 2,500.

Explanation: Total no.of sheets of papers in each package are 500, And Theo buys 5 packages of papers. So total sheets of paper Theo bought are 500×5= 2,500.

Common Core – Multiply Tens, Hundreds, and Thousands – Lesson Check – Page No. 80

Question 1.
A plane is traveling at a speed of 400 miles per hour. How far will the plane travel in 5 hours?
Options:
a. 200 miles
b. 2,000 miles
c. 20,000 miles
d. 200,000 miles

Answer: b

Explanation: The speed of the plane is 400 miles per hour. In 5 hours plane can travel 400×5= 2,000 miles.

Question 2.
One week, a clothing factory made 2,000 shirts in each of 6 different colors. How many shirts did the factory make in all?
Options:
a. 2,000
b. 12,000
c. 120,000
d. 200,000

Answer: b

Explanation: Shirts made in one week are 2000 in 6 different colors. So total shirts made in all are 2000×6= 12,000.

Spiral Review

Question 3.
Which comparison sentence best represents the equation?
6 × 7 = 42
Options:
a. 7 is 6 times as many as 42.
b. 6 is 7 times as many as 42.
c. 42 is 6 times as many as 7.
d. 6 more than 7 is 42.

Answer: c

Explanation: By comparing 42= 6×7 represents the equation.

Question 4.
The population of Middleton is six thousand, fifty-four people. Which of the following shows this number written in standard form?
Options:
a. 654
b. 6,054
c. 6,504
d. 6,540

Answer: b

Explanation: Six thousand fifty-four is equal to 6,054.

Question 5.
In 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?
Options:
a. 17,082
b. 17,182
c. 22,922
d. 152,986

Answer: a

Explanation: Total 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.

Question 6.
Meredith 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?
Options:
a. 4
b. 5
c. 16
d. 24

Answer: c

Explanation: Let the red peppers be X and green peppers be 4X, And the total she picked is 20 peppers. So X+4X=20,
Then X=4. Green peppers she picked are 4×4= 16.

Multiply Tens, Hundreds, and Thousands – Page No. 83

Question 1.
Estimate the product by rounding.
5 × 2,213
_____ × _____ = _____

Answer: 5×2000= 10,000

Explanation: The rounding off for 2,213 is 2000. So 5×2000= 10,000.

Question 2.
Estimate the product by finding two numbers the exact answer is between.
5 × 2,213

Answer: 5×2000= 10,000 and 5×3000= 15,000.

Explanation: The rounding off for 2,213 is 2000 and 3000. So 5×2000= 10,000 and 5×3000= 15,000.

Tell whether the exact answer is reasonable.

Question 3.
Kira needs to make color copies of a horse show flyer. The printer can make 24 copies in 1 minute. Kira says the printer makes 114 copies in 6 minutes.

Answer: Kira is incorrect.

Explanation: As the printer can make 24 copies in 1 minute, So if we take 24 rounds off to 20 or 30 then the printer makes 120 or 180 copies. So Kira is incorrect.

Question 4.
Jones Elementary is having a car wash to raise money for a community horse trail. Each car wash ticket costs $8. Tiara says the school will receive $1,000 if 125 tickets are sold.

Answer: Tiara says correct.

Explanation: As 1000÷125= 8 which is each car wash ticket cost. So the answer is reasonable.

Tell whether the exact answer is reasonable.

Question 5.
Evaluate Reasonableness Mrs. Hense sells a roll of coastal Bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls.

Answer: The answer is reasonable.

Explanation: As 174 is the nearest rounding off to 180. So the answer is reasonable.

Question 6.
Mr. Brown sells horse supplies. A pair of riding gloves sells for $16. He says he will make $144 if he sells 9 pairs.

Answer: The answer is reasonable

Explanation: As 144 is between 90 and 180, So the answer is reasonable. Here we will take rounding off for 9 as 10 and 20. So the answer must be between 90 and 180.

Question 7.
Path A and Path B are walking paths used for horses. Path A is 118 feet long. Path B is 180 feet long. Carlos walks his horse down each path 3 times. Which path did Carlos use to walk his horse about 500 feet? Explain.

Answer: Path B

Explanation: 118 is rounded off to 100 and then multiply with 3, 100  Then round off 180 to 200 and multiply with 3, 200  As 500 is closer to estimate of 600 compared to 300. So Path B is correct.

Question 8.
Students in the third grade sell 265 tickets to the school play. Students in the fourth grade sell 3 times as many tickets as the third-grade students. Estimate the number of tickets the fourth-grade students sold by finding the two numbers the exact answer is between.
The students sold between

Answer: 600 and 900.

Explanation: 1let 265 be rounded off 200 and 300. As fourth-grade students sell 3 times as many as third-grade students, So 200 and 300  So tickets sold between 600 and 900.

Multiply Tens, Hundreds, and Thousands – Page No. 84

Predict whether the exact answer will be less than or greater than the estimate. Explain your answer.

Question 9.
The food stand at the zoo sold 2,514 pounds of hamburger last month. The average cost of a pound of hamburger is $2. Jeremy estimates that about $6,000 worth of hamburger was sold last month.

Answer: Lesser than the actual amount of hamburger.

Explanation: As the amount of hamburger sold is 468 pounds less than the estimated amount of 3000 pounds. So, the answer will be less than estimated.

Question 10.
A zoo bought 2,240 pounds of fresh food for the bears this month. The average cost of a pound of food is $4. Jeremy estimates that about $8,000 was spent on fresh food for the bears this month.

Answer: Greater than the actual amount of food bought.

Explanation: As the actual amount of food bought for the bears this month was 240 pounds greater than the estimated amount of 2,000 pounds. So, the answer will be greater than the estimated amount.

Common Core – Estimate Products – Page No. 85

Estimate the product by rounding.

Question 1.
4 × 472
4 × 472
↓
4 × 500 = 2,000

Question 2.
2 × 6,254

Answer: 12,000.

Explanation: The nearest rounding off for 6,254 is 6,000. So 2×6,000= 12,000.

Question 3.
9 × 54

Answer: 450

Explanation: The nearest rounding off for 54 is 50. So 9×50= 450.

Question 4.
5 × 5,503

Answer: 30,000.

Explanation: The nearest rounding off for 5,503 is 6,000. So 5×6,000= 30,000.

Question 5.
3 × 832

Answer: 2,400.

Explanation: The nearest rounding off for 832 is 800. So 3×800= 2,400.

Question 6.
6 × 98

Answer: The nearest rounding off for 98 is 100. So 6×100= 600.

Question 7.
8 × 3,250

Answer: The nearest rounding off for 3,250 is 3,000. So 8×3,000= 24,000.

Question 8.
7 × 777

Answer: 5,600.

Explanation: The nearest rounding off for 777 is 800. So 7×800= 5,600.

Find two numbers the exact answer is between.

Question 9.
3 × 567

Answer: 1500 and 1800.

Explanation: The rounding off for 567 is 500 and 600. So 3×500= 1500 and 3×600= 1800.

Question 10.
6 × 7,381

Answer: 42,000 and 48,000.

Explanation: The rounding off for 7,381 is 7,000 and 8,000. So 6×7000= 42,000 and 6×8000= 48,000.

Question 11.
4 × 94

Answer: 360 and 400.

Explanation: The rounding off for 94 is 90 and 100. So 4×90= 360 and 4×100= 400.

Question 12.
6 × 684

Answer: 3600 and 4200

Explanation: The rounding off for 684 is 600 and 700. So 6×600= 3600 and 6×700= 4200.

Problem Solving

Question 13.
Isaac 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

Answer: Yes.

Explanation: As the round-off for 365 can be 300 or 400. So 8×300= 2,400 and 8×400= 3,200. The estimated answer can be between 2,400 to 3,200. So the answer is Yes.

Question 14.
Most 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.

Answer: No.

Explanation: As the round-off for 1,365 can be 1000 or 2000. So 5×1000= 5,000 and 5×2000= 10,000. The estimated answer can be between 5,000 to 10,000.

Common Core – Estimate Products – Lesson Check – Page No. 86

Question 1.
A 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?
Options:
a. 2,500
b. 10,000
c. 25,000
d. 30,000

Answer: c

Explanation: As the nearest round off for 4,650 is 5,000. So 5,000×5= 25,000.

Question 2.
Washington 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?
Options:
a. 16,000
b. 12,000
c. 10,000
d. 1,200

Answer: b

Explanation: As the nearest round off for 4,358 is 4,000. So 4,000×3= 12,000.

Spiral Review

Question 3.
Diego has 4 times as many autographed baseballs as Melanie has. Diego has 24 autographed baseballs. How many autographed baseballs does Melanie have?
Options:
a. 28
b. 20
c. 8
d. 6

Answer: d

Explanation: Let the Melanie baseballs be S. As Diego has 4 times as many as Melanie and Diego has a total of 24 baseballs. So 4×S= 24, Then S= 24÷4 which is 6.

Question 4.
Mr. Turkowski bought 4 boxes of envelopes at the office supply store. Each box has 500 envelopes. How many envelopes did Mr. Turkowski buy?
Options:
a. 200
b. 504
c. 2,000
d. 20,000

Answer: c

Explanation: Turkowski has 4 boxes of envelopes and each box contains 500 envelopes, So total envelopes did Turkowski bought are 4×500= 2,000.

Question 5.
Pennsylvania has a land area of 44,816 square miles. Which of the following shows the land area of Pennsylvania rounded to the nearest hundred?
Options:
a. 44,000 square miles
b. 44,800 square miles
c. 44,900 square miles
d. 45,000 square miles

Answer: b.

Explanation: As the nearest round off for 44,816 is 44,800.

Question 6.
The table shows the types of DVDs customers rented from Sunshine Movie Rentals last year.

How many comedy and action movies were rented in all last year?
Options:
a. 13,620
b. 13,000
c. 12,260
d. 10,752

Answer: c

Explanation: Comedy and action movies that are rented in last year are 6,720+5,540= 12,260.

Estimate Products – Page No. 89

Model the product on the grid. Record the product.

Question 1.
3 × 13

3 × 13 = _____

Answer: 39

Explanation: 3×13= 3 ×(10+3)
=(3×10)+ (3×3)
=30+9
=39

Question 2.
5 × 14

5 × 14 = _____

Answer: 70.

Explanation: 5×14 = 5×(10+4)
= (5×10)+(5×4)
= 50+20
= 70

Find the product.

Question 3.
6 × 14

6 × 14 = ______

Answer: 84

Explanation: 6×14= 6×(10+4)
= (6×10)+(6×4)
= 60+24
= 84

Question 4.
5 × 18

5 × 18 = ______

Answer: 90

Explanation: 5 × 18 =5 ×(10+8)
= (5 × 10)+ (5 ×8)
= 50+40
= 90.

Question 5.
4 × 16

4 × 16 = ______

Answer: 64

Explanation: 4 × 16= (4 × 10)+( 4 ×6)
= 40+24
= 64.

Use grid paper or base-ten blocks to model the product.
Then record the product.

Question 6.
7 × 12 = ______

Answer: 84

Explanation: 7×12 = 7×(10+2)
=(7×10)+(7×2)
=70+14
84

Question 7.
5 × 16 = ______

Answer: 80

Explanation: 5×16= 5×(10+6)
=(5×10)+(5×6)
= 50+30
= 80

Question 8.
9 × 13 = ______

Answer: 117

Explanation: 9 × 13 = 9 ×(10+3)
=(9×10)+(9×3)
=90+27
=117

Question 9.
Explain how modeling partial products can be used to find the products of greater numbers.

Answer: 25 3= (20+5) 3
=(20×3)+(5×3)= 60+15=75

Explanation: The multiplication is easy. For example if we take 25 3= (20+5) 3
=(20×3)+(5×3)= 60+15=75

Question 10.
Use the Distributive Property to model the product on the grid. Record the product.
4 × 14 = _____

Answer: 56.

Explanation: 4×14= 4×(10+4)
=(4×10)+(4×4)
=40+16
=56

Estimate Products – Page No. 90

Question 11.
Kyle went to a fruit market. The market sells a wide variety of fruits and vegetables. The picture at the right shows a display of oranges. Write a problem that can be solved using the picture.

Answer: A shopkeeper has oranges. He keeps his oranges in the basket having 6 rows and each row has 12 oranges. So how many oranges he owned.

Explanation: From the above picture we can see 6 rows and 12 columns of Oranges. So total
no. of Oranges are 6 12= 72 Oranges.

Question 12.
Describe how you could change the problem by changing the number of rows of oranges and the number of empty spaces in the picture. Then solve the problem.

Common Core – Multiply Using the Distributive Property – Page No. 91

Model the product on the grid. Record the product.

Question 1.
4 × 19 = 76

4 × 10 = 40 and 4 × 9 = 36
40 + 36 = 76

Question 2.

5 × 13 = ______

Answer: 65.

Explanation:
5×10= 50 and 5×3= 15
50+15= 65.

Find the product.

Question 3.

4 × 14 = ______

Answer: 56

Explanation:
4×10= 40 and 4×4= 16
40+16= 56.

Question 4.

3 × 17 = ______

Answer: 51

Explanation:
3×10=30 and 3×7= 21
30+21= 51

Question 5.

6 × 15 = ______

Answer: 90

Explanation:
6×10= 60 and 6×5= 30
60+30= 90

Problem Solving

Question 6.
Michael arranged his pennies in the following display.

How many pennies does Michael have in all?

Answer: 91

Explanation: As there are 7 columns and 13 rows, So 13×7= 91.

Question 7.
A farmer has an apple orchard with the trees arranged as shown below.

If the farmer wants to pick one apple from each tree, how many apples will he pick?

Answer: 70

Explanation: As there are 5 columns and 14 rows, So 5×14= 70.

Common Core – Multiply Using the Distributive Property – Lesson Check – Page No. 92

Question 1.
The model shows how Maya planted flowers in her garden.

How many flowers did Maya plant?
Options:
a. 15
b. 18
c. 30
d. 45

Answer: d

Explanation: As 3×10= 30 and 3×5= 15
30+15= 45.

Question 2.
The model below represents the expression 5 x 18.

How many tens will there be in the final product?
Options:
a. 5
b. 6
c. 8
d. 9

Answer: d

Explanation: As 5×18 is 90 and 90÷10= 9. So answer is 9.

Spiral Review

Question 3.
Center City has a population of twenty one thousand, seventy people. Which of the following shows the population written in standard form?
Options:
a. 21,007
b. 21,070
c. 21,077
d. 21,700

Answer: b

Explanation: Twenty-one thousand seventy is equal to 21,070.

Question 4.
Central School collected 12,516 pounds of newspaper to recycle. Eastland School collected 12,615 pounds of newspapers. How many more pounds of newspaper
did Eastland School collect than Central School?
Options:
a. 99 pounds
b. 101 pounds
c. 199 pounds
d. 1,099 pounds

Answer: a

Explanation: Central school has collected 12,516 pounds and Eastland school collected 12,615 pounds. So
12,615-12,516= 99.

Question 5.
Allison 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?
Options:
a. 20
b. 24
c. 96
d. 100

Answer: d

Explanation: Let Football cards be X and baseball cards be 5X. So 5X+X= 120 in which X= 20. As Allison has 5 times as many baseball cards as football cards. So 5×20= 100.

Question 6.
A 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?
Options:
a. 25
b. 58
c. 250
d. 300

Answer: c

Explanation: As the nearest round-off for 53 is 50, So 50×5= 250.

Multiply Using the Distributive Property – Page No. 95

Question 1.
Find 4 × 213. Use expanded form.


_____

Record the product. Use expanded form to help.

Question 2.
4 × 59 = _____

Answer: 236

Explanation: 4×(50+9)
= (4×50)+(4×9)
= 200+36
= 236.

Question 3.
3 × 288 = _____

Answer: 864

Explanation: 3×(200+80+8)
= (3×200)+(3×80)+(3×8)
= 600+240+24
= 864.

Record the product. Use expanded form to help.

Question 4.
4 × 21 = _____

Answer: 84

Explanation: 4×(20+1)
= (4×20)+(4×1)
= 80+4
= 84.

Question 5.
6 × 35 = _____

Answer: 210

Explanation: 6×(30+5)
= (6×30)+(6×5)
= 180+30
= 210.

Question 6.
A hotel has 128 rooms on each floor. There are 4 floors in all. If 334 of the rooms in the hotel have been cleaned, how many rooms still need to be cleaned?

Answer: 178.

Explanation: Total floors in a hotel are 4 and each floor has 128 rooms, So total rooms in the hotel are 128×4= 512.
In 512 rooms 334 were cleaned and the remaining rooms yet to be cleaned are 512-334= 178.

Question 7.
Ben wants to buy 2 blue sweaters for $119 each and 3 brown sweaters for $44 each. How much will Ben spend on the five sweaters?

Answer: $370.

Explanation: Ben wants to buy 2 blue sweaters for $119 each, So 119×2= 238. And 3 brown sweater for $44 each which means 44×3= 132. The total he spent on five sweaters is 238+132= 370.

Question 8.
A jeweler has 36 inches of silver chain. She needs 5 times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?

Answer: 288 inches.

Explanation: As the jeweler has 36 inches of silver chain and she needs 5 times to make some necklaces which means 36×5= 180 and 3 times to make a bracelet which means 36×3= 108. So the total sliver she needs is 180+108= 288.

Question 9.
Gretchen walks her dog 3 times a day. Each time she walks the dog, she walks 1,760 yards. How many yards does she walk her dog in 3 days?

Answer: 15,840 yards.

Explanation: Gretchen walks 3 times a day which means for 3 days it will be 9 times. As she walks 1,760 yards, So 1760×9= 15,840.

Question 10.
Write an Expression Which expression could you write to show how to multiply 9 × 856 using place value and expanded form?

Answer: (9×800)+(9×50)+(9×6)

Explanation: Place value is the value of each digit in a number. So 856 can be expanded as 800+50+6.

Question 11.
Jennifer bought 4 packages of tacks. There are 48 tacks in a package. She used 160 of the tacks to put up posters. How many tacks does she have left? Explain.

Answer: 32.

Explanation: Jennifer bought 4 packages of tacks and each package contains 48 tacks. So total tacks are 48×4= 192.
As she used 160 tacks total tacks she left are 192-160= 32

Multiply Using the Distributive Property – Page No. 96

Use the table for 12–13.

Question 12.
What is the total cost of 3 Italian cypress trees?

Answer: $237.

Explanation: The cost of each Italian cypress tree is $79.  The total cost of 3 Italian cypress tree is 79×3= 237.

Question 13.
What’s the Error? Tanya says that the difference in the cost of 4 flowering cherry trees and 4 Muskogee crape myrtles is $80. Is she correct? Explain.

Answer: No, Because she used a normal price instead of discounted price.

Explanation: For 4 and above trees, there is a discount price. So she is wrong.

Question 14.
What is the greatest possible product of a 2-digit number and a 1-digit number? Explain how you know.

Answer: 891.

Explanation: The greatest 2 digit number is 99 and the greatest single-digit number is 9. So the product is
99×9= 891.

Question 15.
Multiply 5 × 381 using place value and expanded form. Select a number from each box to complete the expression.

Answer: (5×300)+(5×80)+(5×1).

Explanation: The expanded form of 381 is 300+80+1.

Common Core – Multiply Using Expanded Form – Page No. 97

Record the product. Use expanded form to help.

Question 1.
7 × 14 = 98
7 × 14 = 7 × (10 + 4)
= (7 × 10) + (7 × 4)
= 70 + 28
= 98

Question 2.
8 × 43 = _____

Answer: 344.

Explanation: 8×(40+3)
= (8×40)+(8×3)
= 320+24
= 344.

Question 3.
6 × 532 = _____

Answer: 3,192.

Explanation: 6×(500+30+2)
= (6×500)+(6×30)+(6×2)
= 3000+180+12
= 3,192.

Question 4.
5 × 923 = _____

Answer: 4,615

Explanation: 5×923= 5×(900+20+3)
=(5×900)+(5×20)+(5×3)
=4500+100+15
=4,615.

Question 5.
4 × 2,371 = _____

Answer: 9,484

Explanation: 4×2,371= 4×(2000+300+70+1)
= (4×2,000)+(4×300)+(4×70)+(4×1)
=8000+1200+280+4
=9,484

Question 6.
7 × 1,829 = _____

Answer: 12,803

Explanation: 7×1,829= 7×(1,000+800+20+9)
=(7×1,000)+( 7×800)+( 7×20)+( 7×9)
=7,000+5600+140+63
=12,803

Problem Solving

Question 7.
The 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?

Answer: 272 students.

Explanation: No. of buses are 4 and on each bus, there are 68 students. So 68 4= 272.

Question 8.
There 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?

Answer: 26,400 feet.

Explanation: There are 5,280 feet in one mile and Hannah walks 5 miles each week, So 5,280 5= 26,400.

Common Core – Multiply Using Expanded Form – Lesson Check – Page No. 98

Question 1.
Which expression shows how to multiply 7 × 256 by using expanded form and the Distributive Property?
Options:
a. (7 × 2) + (7 × 5) + (7 × 6)
b. (7 × 200) + (7 × 500) + (7 × 600)
c. (7 × 2) + (7 × 50) + (7 × 600)
d. (7 × 200) + (7 × 50) + (7 × 6)

Answer: d

Explanation: By Distributive property of multiplication 7×256=(7×200)+(7×50)+(7×6)

Question 2.
Sue uses the expression (8 × 3,000) + (8 × 200) + (8 × 9) to help solve a multiplication problem. Which is Sue’s multiplication problem?
Options:
a. 8 × 329
b. 8 × 3,029
c. 8 × 3,209
d. 8 × 3,290

Answer: b

Explanation: The expression (8×3,000)+(8×200)+(8×9) is written in the Distributive property of multiplication. So 8×3,029.

Spiral Review

Question 3.
What is another way to write 9 × 200?
Options:
a. 18 ones
b. 18 tens
c. 18 hundreds
d. 18 thousands

Answer: c

Explanation: 9×200= 1800

Question 4.
What is the value of the digit 4 in 46,000?
Options:
a. 4 ten thousands
b. 4 thousands
c. 4 hundreds
d. 4 tens

Answer: a

Explanation: The place value of 4 in 46,000 is 40,000.

Question 5.
Chris bought 6 packages of napkins for his restaurant. There were 200 napkins in each package. How many napkins did Chris buy?
Options:
a. 120
b. 1,200
c. 12,000
d. 120,000

Answer: b

Explanation: Total packages are 6 and each package contains 200 napkins. So 6 200=1,200.

Question 6.
Which of the following lists the numbers in order from least to greatest?
Options:
a. 8,512; 8,251; 8,125
b. 8,251; 8,125; 8,512
c. 8,125; 8,512; 8,251
d. 8,125; 8,251; 8,512

Answer: d

Explanation: 8,125>8,251>8,512.

Multiply Using Expanded Form – Page No. 101

Question 1.
Use the model to find 2 × 137.

Answer: 274.

Explanation: 2×137= 2×(100+30+7)
=(2×100)+(2×30)+(2×7)
=200+60+14
=274.

Estimate. Then record the product.

Question 2.
1 9 0
×   3
———–
Estimate: ________
Product: ________

Answer:
Estimate: 600
Product: 570.

Explanation: Round off 190 to 200 and 200×3= 600. And the product is 190×3= 570.

Question 3.
4 7 1
×   4
———–
Estimate: ________
Product: ________

Answer:
Estimate: 2000
Product: 1884.

Explanation: Round off 471 to 500 and 500×4= 2000. And the product is 471×4= 1884.

Question 4.
3, 439
×     7
———–
Estimate: ________
Product: ________

Answer:
Estimate: 24,500
Product: 24,073.

Explanation: Round off 3,439 to 3500 and 3500×7= 24,500. And the product is 35000×7= 24,073.

Estimate. Then record the product.

Question 5.
$ 5 3
×   4
———–
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $ 240
Product: $ 212

Explanation: Round off 53 to 60 and 60×4= 240. And the product is 53×4= 212.

Question 6.
$ 4 7 3
×      4
———–
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $2,000
Product: $1,892.

Explanation: Round off 473 to 500 and 500×4= 2,000. And the product is 473×4= 1892.

Question 7.
6 0 8
×    6
———–
Estimate: ________
Product: ________

Answer:
Estimate: 4,200
Product: 3,648

Explanation: Round off 608 to 700 and 700×6= 4,200. And the product is 608×6= 3,648.

Practice: Copy and Solve Estimate. Then record the product.

Question 8.
2 × 78 =
Estimate: ________
Product: ________

Answer:
Estimate: 200
Product: 156

Explanation: Round off 78 to 100 and 100×2= 200. And the product is 78×2= 156.

Question 9.
2 × $210 =
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $600
Product: $420

Explanation: Round off 210 to 300 and 300×2= 600. And the product is 210×2= 420.

Question 10.
2 × $682 =
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $1,400.
Product: $1,364

Explanation: Round off 682 to 700 and 700×2= 1400. And the product is 682×2= 1364.

Question 11.
8 × 8,145 =
Estimate: ________
Product: ________

Answer:
Estimate: 68,000.
Product: 65,160.

Explanation: Round off 8,145 to 8,500 and 8,500×8= 68,000. And the product is 8145×8= 65,160.

Use Reasoning Algebra Find the missing digit.

Question 12.
■5
× 7
————-
455
■ = _____

Answer: 65

Explanation: 65×7= 455.

Question 13.
2 4 8
×   3
————-
■ 44
■ = _____

Answer: 744

Explanation: 248×3= 744

Question 14.
$3 9 5
×     ■
————
$2,370
■ = _____

Answer: 6

Explanation: 395×6= 2370

Question 15.
3,748
×    4
———-
1 ■,992
■ = _____

Answer: 14,992

Explanation: 3,748×4= 14,992

Question 16.
A store bought 9 cases of light bulbs in May and 8 cases in June. There are 48 light bulbs in a case. How many light bulbs did the store buy in May and June?

Answer: 816 bulbs.

Explanation: Light bulbs in May are 9 cases and in June are 8 cases. And each case have 48 light bulbs. So 9×48= 432 in May and 8×48= 384 in June. So total light bulbs in May and June are 384+432= 816.

Question 17.
Mr. Wilson saved $2,500 to buy airline tickets for his family. He bought 6 airline tickets for $372 each. How much of his savings does Mr. Wilson have after he buys the tickets?

Answer: $268.

Explanation: Mr. Wilson bought 6 tickets and each costs $372, So 372×6= 2,232. Total money Mr. Wilson saved is $2,500. Total Savings are 2500-2232=$268.

Question 18.
Coach Ramirez bought 8 cases of bottled water for a road race. There are 24 bottles in each case. After the race, 34 bottles of water were left. How many bottles were used at the race? Explain.

Answer: 158 bottles.

Explanation: Ramirez bought 8 cases of water and each case contains 24 bottles. So total bottles are 8×24=192 and 34 bottles left. Therefore used bottles are 192-34= 158.

Multiply Using Expanded Form – Page No. 102

Question 19.
Use Diagrams Look at the picture. Kylie has 832 songs on her portable media player. Lance has 3 times as many songs. How many fewer songs can Lance add to his player than Kylie can add to hers?

Answer: 1664.

Explanation: Total songs in portable media players are 9,000, And kylie has 832 songs. So Kylie can add 9000-832= 8,168 songs. Lance has 3 times as many songs as Kylie, So Lance has 832×3= 2,496. He can add 9000-2496= 6504 to his player. Therefore 8168-6504=1664 Lance can add 1664 fewer songs to his player than Kylie.

Question 20.
James wants to buy the new portable media player shown. He has 5 times as many songs as Susan. Susan has 1,146 songs. Will all of his songs fit on the portable media player? How many songs does James have?

Answer: 5,730 songs. Yes, will fit on the portable media player.

Explanation: Susan has 1,146 songs and James has 5 times as many songs as Susan, So 1,146 5= 5,730 songs will fit on the portable media player.

Question 21.
The sum of a 3-digit number and a 1-digit number is 217. The product of the numbers is 642. If one number is between 200 and 225, what are the numbers?

Answer: 3.

Explanation: As the given product is 642 and the 3 digit number is between 200 and 225, So the 1 digit number is 3 because if we multiply 200 and 225 by 3 we will get the product as 600 and 675 and 642 is in between them. So 642 3= 214. And the one-digit number is 3.

Question 22.
Mrs. Jackson bought 6 gallons of juice for a party. Each gallon has 16 cups. After the party, 3 cups of juice were left over. At the party, how many cups did people drink? Show your work and explain how you found your answer.

Answer: 93.

Explanation: Mrs. Jackson bought 6 gallons of juice and each gallon has 16 cups. So total cups of juice is 16 6= 96 cups. And in that 3 cups of juice was left after the party. So 96-3= 93 cups of juice people drank.

Common Core – Multiply Using Partial Products – Page No. 103

Estimate. Then record the product.

Question 1.
Estimate: 1,200
2 4 3
×   6
——————
1,200
2 4 0
+1 8
—————–
1,458

Question 2.
6 4 0
×   3
——————
Estimate: _________
Product: _________

Answer:
Estimate: 1800
Product: 1920.

Explanation: Rounding off 640 to 600 then estimated product is 600 3= 1800 and 640 3= 1920.
6 4 0
×   3
——————
1800
+120
+0
——————
1920

Question 3.
$ 1 4 9
×      5
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $500
Product: $745

Explanation: Rounding off 149 to 100 then estimated product is 100 5= 500 and 149 5= 745.
$ 1 4 9
×      5
——————
500
+200
+45
——————
745

Question 4.
7 2 1
×   8
——————
Estimate: _________
Product: _________

Answer:
Estimate: 5600
Product: 5768

Explanation: Rounding off 721 to 700 then estimated product is 700 8= 5600 and 721 8= 5,768.
7 2 1
×   8
——————
5600
+160
+8
——————
5,768

Question 5.
2 9 3
×   4
——————
Estimate: _________
Product: _________

Answer:
Estimate: 1,200
Product: 1,172

Explanation: Rounding off 293 to 300 then estimated product is 300 4= 1200 and 293 4=1,172.
2 9 3
×   4
——————
800
+360
+12
——————
1,172

Question 6.
$ 4 1 6
×      6
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $2400
Product: $2496

Explanation: Rounding off 293 to 300 then estimated product is 400 6= 2400 and
416 6= 2496.
$ 4 1 6
×      6
——————
2400
+60
+36
—————–
2,496

Question 7.
9 6 1
×    2
——————
Estimate: _________
Product: _________

Answer:
Estimate: 2000
Product: 1922

Explanation: Rounding off 961 to 1000 then estimated product is 1000 2= 2000 and
961 2= 1922.
9 6 1
×    2
——————
1800
+120
+2
——————-
1922

Question 8.
8 3 7
×   9
——————
Estimate: _________
Product: _________

Answer:
Estimate: 7,200
Product: 7,533

Explanation: Rounding off 837 to 800 then estimated product is 800 9= 7200 and
837 9= 7533.

8 3 7
×   9
——————
7200
+270
+63
—————–
7533

Question 9.
6 5 2
×   4
——————
Estimate: _________
Product: _________

Answer:
Estimate: 2,800
Product: 2,608

Explanation: Rounding off 652 to 700 then estimated product is 700 4= 2800 and
652 4= 2,608.
6 5 2
×   4
——————
2400
+200
+8
—————–
2608

Question 10.
3 0 7
×   3
——————
Estimate: _________
Product: _________

Answer:
Estimate: 900
Product: 921

Explanation: : Rounding off 307 to 300 then estimated product is 300 3= 900 and
307 3= 921.
3 0 7
×   3
——–
900
+21
——
921

Question 11.
5 4 3
×   7
——————
Estimate: _________
Product: _________

Answer:
Estimate: 3500
Product: 3,801

Explanation: : Rounding off 543 to 500 then estimated product is 500 7= 3500 and
543 7= 3801.
5 4 3
×   7
——————
3500
+280
+21
—————–
3801

Question 12.
$ 8 2 2
×      5
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $4,000.
Product: $4,110.

Explanation: Explanation: : Rounding off 822 to 800 then estimated product is 800 5= 4000 and
822 5= 4110.
$ 8 2 2
×      5
——————
4000
+100
+10
——————
4110

Problem Solving

Question 13.
A 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?

Answer: 1100 bales.

Explanation: No. of country fair bales are 275 and state fair bales are 4 times as many as country fair bales. So 275 4= 1100

Question 14.
Pedro gets 8 hours of sleep each night. How many hours does Pedro sleep in a year with 365 days?

Answer: 2,920 hours.

Explanation: Pedro sleeps 8 hours each night and 365 days Pedro sleeps 365 8= 2,920 hours.

Common Core – Multiply Using Partial Products – Lesson Check – Page No. 104

Question 1.
A 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?
Options:
a. 2,092 miles
b. 2,112 miles
c. 2,192 miles
d. 2,480 miles

Answer: c

Explanation: Average speed of passenger jet is 548 miles per hour. And the plane travels in 4 hours is 548 4= 2,192 miles.

Question 2.
Use the model to find 3 x 157.

Options:
a. 300,171
b. 300,157
c. 471
d. 451

Answer: c.

Explanation: By distributive property of multiplication 3 x 157= 3 x(100+50+7)
=(3 x100)+(3×50)+(3×7)
=300+150+21
=471

Spiral Review

Question 3.
The 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?
Options:
a. $2,636
b. $2,646
c. $2,736
d. $2,746

Answer: $2746.

Explanation: Money made on games is $1,768 and on food sale is $978. So total money make on games and food sales are 1768+978= 2746.

Question 4.
Use the table below.

Which of the following lists the states from least to greatest population?
Options:
a. Alaska, North Dakota, Vermont
b. Vermont, Alaska, North Dakota
c. North Dakota, Vermont, Alaska
d. Vermont, North Dakota, Alaska

Answer: d.

Explanation: Vermont has 621,760, North Dakota has 646,844 and Alaska has 698,473.
So Vermont, North Dakota, Alaska.

Question 5.
A National Park covers 218,375 acres. What is this number written in expanded form?
Options:
a. 200,000 + 10,000 + 8,000 + 300 + 70 + 5
b. 20,000 + 1,000 + 800 + 30 + 75
c. 218 + 375
d. 218 thousand, 375

Answer: a.

Explanation: 218,375 is expanded as 200,000 + 10,000 + 8,000 + 300 + 70 + 5

Question 6.
Last year a business had profits of $8,000. This year its profits are 5 times as great. What are this year’s profits?
Options:
a. $4,000
b. $40,000
c. $44,000
d. $400,000

Answer: b

Explanation: Last year’s profit of $8,000 and this year 5 times more. So this year profit is 8000 5= 40,000.

Multiply Using Partial Products – Page No. 105

Choose the best term from the box to complete the sentence.

Question 1.
To find the product of a two-digit number and a 1-digit number, you can multiply the tens, multiply the ones, and find the sum of each ________________.

Answer: Factor

Explanation: Factors are the numbers which divides the original number completely.

Question 2.
The _____________ states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Answer: Distributive Property

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.

Write a comparison sentence.

Question 3.
5 × 9 = 45
______ times as many as ______ is ______ .

Answer: 5 times as many as 9 is 45

Explanation:

Question 4.
24 = 6 × 4
______ is ______ times as many as ______ .

Answer: 24 is 6 times as many as 4.

Explanation:

Question 5.
54 = 6 × 9
______ is ______ times as many as ______ .

Answer: 54 is 6 times as many as 9

Explanation:

Question 6.
8 × 6 = 48
______ times as many as ______ is ______ .

Answer: 48 is 8 times as many as 6.

Explanation:

Estimate. Then record the product.

Question 7.
7 5
× 5
—————
Estimate: ________
Product: ________

Answer:
Estimate: 500
Product: 375

Explanation: Rounding off 75 to 100 estimated value is 100×5= 500 and 75×5= 375

Question 8.
1 2
× 6
—————
Estimate: ________
Product: ________

Answer:
Estimate: 60
Product: 72

Explanation: Rounding off 12 to 10 estimated value is 10×6= 60 and 12×6= 72

Question 9.
2 8
× 3
—————

Answer:
Estimate: 90
Product: 84

Explanation: Rounding off 28 to 30 estimated value is 30×3= 90 and 28×3= 84

Question 10.
$4 3
× 6
—————
Estimate: $ ________
Product: $ ________

Answer:
Estimate: 300
Product: 258

Explanation: Rounding off 43 to 50 estimated value is 50×6= 300 and 43×6= 258

Record the product. Use expanded form to help.

Question 11.
5 × 64 = _____

Answer: 320

Explanation: 5 × 64= 5×(60+4)
=(5×60)+(5×4)
=300+20
=320

Question 12.
3 × 272 = _____

Answer: 812

Explanation: 3 × 272= 3×(200+70+2)
=(3×200)+(3×70)+(3×2)
=600+210+6
= 812

Multiply Using Partial Products – Page No. 106

Question 13.
There are 6 times as many dogs as cats. If the total number of dogs and cats is 21, how many dogs are there?

Answer: 18 dogs.

Explanation: Let cats be X and dogs are as many as 6 so dogs be 6X. As the total number of cats and dogs are X+6X=21, And X= 3 so dogs are 6×3= 18

Question 14.
The table below shows the number of calories in 1 cup of different kinds of berries. How many calories are in 4 cups of blackberries?

Answer: 248 Calories.

Explanation: The number of calories of blackberries in one cup are 62 and in 4 cups are 62×4= 248.

Question 15.
The skating rink rented 218 pairs of skates during the month of April and 3 times that many in May. How many pairs of skates did the skating rink rent during April and May?

Answer: 872 pairs.

Explanation: No. of pairs of skates in April are 218 and 3 times that many in May. So
3×218= 654. Total skates in April and May are 218+654= 872

Multiply Using Partial Products – Page No. 109

Question 1.
Break apart the factor 112 to find 7 × 112 by using mental math and addition.
7 × 112 = 7 × (_____ + 12)

Answer: 100

Explanation: 7 × 112 = 7 × (100 + 12)
= 7×(100+12)
= 700+84
= 784

Find the product. Tell which strategy you used.

Question 2.
4 × 6 × 50 = _____

Answer: 1200, Associative property.

Explanation:
4 × 6 × 50= 4 ×(6×50)
=4×(300)
=1200.

Question 3.
5 × 420 = _____

Answer: 2100, Use addition

Explanation: 420= 400+20
5×420= 5×(400+20)
=(5×400)+(5×20)
=2000+100
=2100.

Question 4.
6 × 298 = _____

Answer: 1788, Distributive property.

Explanation: 6×298 = 6×(200+90+8)
= (6×200)+( 6×90)+( 6×8)
= 1200+540+48
= 1788

Find the product. Tell which strategy you used.

Question 5.
14 × 50 = _____

Answer: 700, Halving and doubling.

Explanation: 14×50= (14×25)+(7×50)
= 350+350
= 700

Question 6.
32 × 25 = _____

Explanation: 32 × 25= 32× (20+5)
=(32×20)+(32×5)
=640+160
=800

Question 7.
8 × 25 × 23 = _____

Answer: 4,600, Associative property.

Explanation: 8×25×23=(8×25)× 23
=(200) ×23
4,600

Practice: Copy and Solve Use a strategy to find the product.

Question 8.
16 × 400 = _____

Answer: 6400, Distributive Property.

Explanation: 16×400= (8+8)×400
=(8×400)+ (8×400)
=3200+3200
=6400

Question 9.
3 × 31 × 10 = _____

Answer: 930, Associative property.

Explanation: 3×31×10= (3×31)×10
=(93) ×10
=930

Question 10.
3 × 199 = _____

Answer: 597, Distributive property.

Explanation: 3×199=3×(100+90+9)
=(3×100)+(3×90)+(3×9)
=300+270+27
= 597

Question 11.
3 × 1,021 = _____

Answer: 3063, Distributive Property.

Explanation: 3×1021= 3×(1000+20+1)
=(3×1000)+(3×20)+(3×1)
=3000+60+3
=3063

Identify Relationships Algebra Use mental math to find the unknown number.

Question 12.
21 × 40 = 840, so
21 × 42 = _____

Answer: 882

Explanation: By Distributive property 21 × 42= 21(40+2)
=(21×40)+(21×2)
=840+42
=882

Question 13.
9 × 60 = 540, so
18 × 30 = _____

Answer: 540

Explanation: As one factor is halved and the other one is doubled and the result is an equivalent expression.

Question 14.
The science museum sells dinosaur models to schools and libraries for $107 each. The town library buys 3 models. The town elementary school buys 5 models. What is the total cost of the models the town buys?

Answer: $856.

Explanation: The cost of each dinosaur model is $107, And the town library buys 3 models which cost 107×3= 321, and town elementary school buys 5 models which cost 107×5= 535. Total cost is 321+535= 856.

Question 15.
Kyle and Karen each bought 6 books of ride tickets at the fair. Each book has 15 tickets. How many tickets did they buy altogether?

Answer: 180 tickets

Explanation: Kyle and Karen each bought 6 books each that means total of 12 books and each book has 15 tickets. So total tickets both bought are 12×15= 180

Multiply Using Partial Products – Page No. 110

Use the table for 16–18.

Question 16.
Three thousand, forty-three people buy tickets at the gate for Section N and one hundred people buy tickets at the gate for Section L. How much money is collected for Section N and Section L at the gate?

Answer: $79575.

Explanation: As 3043 people bought tickets at the gate for Section N, So 3043×25= $76075 and 100 people bought tickets at the gate for Section L, So 100×35= $3500. The total money collected by both sections is 76075+3500= 79575.

Question 17.
Use Diagrams Tina and 3 of her friends buy the full season plan for Section M. If there are 45 games in the full season, how much money do they spend?

Answer: $4500.

Explanation: Tina and 3 of her friends which means a total of 4 members bought full season for Section M which costs $25 for each, So total cost is 25×4= 100. If there are 45 games in full seasons then 45×100= $4500.

Question 18.
When the full season tickets first went on sale, 2,000 Full Season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for Section N. How much money was spent on full season tickets for Section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks?
$ _____ was spent on full season tickets for Section N in total;

Answer: $70,000. $10,000 more

Explanation: The first sale tickets sold are 2,000 for Section N which is 2,000×20= 40,000.
And in next sale 1500 tickets sold out which is 1500×20= 30,000. Total money spent are 40,000+30,000= 70,000.

Question 19.
Find 6 × 407. Show your work and explain why the strategy you chose works best with the factors.

Answer: 2,442

Explanation: By using Distributive property 6×407= 6×(400+7)
=(6×400)+(6×7)
=2400+42
=2,442.

Common Core – Multiply Using Mental Math – Page No. 111

Find the product. Tell which strategy you used.

Question 1.
6 × 297
Think: 297 = 300 – 3
6 × 297 = 6 × (300 – 3)
= (6 × 300) – (6 × 3)
= 1,800 – 18
= 1,782;
use subtraction

Question 2.
8 × 25 × 23 = _____

Answer: 4,600. Associative property.

Explanation: Associative property states that the terms in an addition or multiplication problem can be grouped in different ways, and the answer remains the same.
8 × 25 × 23= (8×25)×23
=200×23
=4600

Question 3.
8 × 604 = _____

Answer: 4832, Use Addition.

Explanation: 604= 600+4
8×604= 8×(600+4)
=(8×600)+(8×4)
=4800+32
=4832.

Question 4.
50 × 28 = _____

Answer: 1400, Halving and doubling.

Explanation: 50×28= (25×28)+(50×14)
=700+700
=1400

Question 5.
9 × 199 = _____

Answer: 1,791

Explanation: By Distributive property 9 × 199= 9 ×(100+90+9)
=(9×100)+(9×90)+(9×9)
=900+810+81
= 1791

Question 6.
20 × 72 × 5 = _____

Answer: 7,200.

Explanation: Associative property states that the terms in an addition or multiplication problem can be grouped in different ways, and the answer remains the same.
20 × 72 × 5= (20×72) ×5
=1440×5
=7,200.

Question 7.
32 × 25 = _____

Answer: 800.

Explanation: Multiplication.
32×25= 800.

Problem Solving

Question 8.
Section 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?

Answer: $5400.

Explanation: Total rows in the arena are 20 rows and each row has 15 seats. So total seats are 20×15= 300 seats. And each ticket cost is $18, So the total ticket price is 300×15= 5400.

Question 9.
At 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?

Answer: 2,370 people.

Explanation: Total sections are 6 and each section contains 395 people. So total members can be seated in the gym are 395×6= 2,370 people.

Common Core – Multiply Using Mental Math – Lesson Check – Page No. 112

Question 1.
Pencils 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
on pencils?
Options:
a. $240
b. $1,200
c. $2,400
d. $4,800

Answer: c

Explanation: Total boxes of pencils are 24 and a school bought 50 cartons of pencils. So total no. of boxes are 24×50=1200 and each box of pencils cost $2. So 1200×2= 2400 school has spent.

Question 2.
The school also bought 195 packages of markers. There are 6 markers in a package. How many markers did the school buy?
Options:
a. 1,170
b. 1,195
c. 1,200
d. 1,230

Answer: a

Explanation: The school bought 195 packages of markers and each package contains 6 markers, So total markers are 195×6= 1170

Spiral Review

Question 3.
Alex has 175 baseball cards. Rodney has 3 times as many baseball cards as Alex. How many fewer cards does Alex have than Rodney?
Options:
a. 700
b. 525
c. 450
d. 350

Answer: d

Explanation: Alex has 175 baseball cards and Rodney has 3 times as many as Alex, So total no. of cards Rodney have are 175×3= 525. And Alex has 525-175= 350 fewer cards than Rodney.

Question 4.
A 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?
Options:
a. fewer than 6,000
b. about 6,000
c. fewer than 12,000
d. more than 20,000

Answer: c

Explanation:  No. of seats in a theater are 1,860 people and last 6 shows have been sold out, So 1,860×6= 11,160 which are fewer than 12,000.

Question 5.
At 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?
Options:
a. 2,155
b. 2,165
c. 2,265
d. 10,787

Answer: b

Explanation: There are 1207 people are watching basketball game and in the next game 958 people are there. So total no. of people are 1,207+958= 2165.

Question 6.
Bill bought 4 jigsaw puzzles. Each puzzle has 500 pieces. How many pieces are in all the puzzles altogether?
Options:
a. 200
b. 900
c. 2,000
d. 20,000

Answer: c

Explanation: Bill bought 4 jigsaw puzzle and each puzzle has 500 pieces. So altogether pieces are 500×4= 2000.

Multiply Using Mental Math – Page No. 115

Question 1.
The seats in Sections A and B of the stadium are all taken for the last show. Section A has 8 rows of 14 seats each. Section B has 6 rows of 16 seats each. How many people are seated in Sections A and B for the last show?
First, draw and label a diagram. Next, find the number of seats in each section.

Last, find the total number of seats.
_____ + _____ = _____

Answer: 112+96= 208.

Explanation: As section A has 8 rows and 14 seats each, So 14×8= 112 and Section B has 6 rows and 16 seats each, So 16×6= 96. Total no. of people are seated in Section A and Section B are
112+96= 208.

Question 1.
There are _____________ people seated in Sections A and B for the last show.

Answer: 208.

Explanation: As Section A has 112 people and Section B has 96 people, So 112+96= 208.

Question 2.
What if Sections A and B each had 7 rows? How many people would have been seated in Sections A and B?

Answer: 210

Explanation: As section A has 7 rows and 14 seats each, So 14×7= 98 and Section B has 7 rows and 16 seats each, So 16×7= 112. Total no. of people are seated in Section A and Section B are
112+98= 210.

Question 3.
Brenda’s vegetable garden has 13 rows with 8 plants in each row. Brenda plans to plant peppers in the first 2 rows and the last 2 rows of the garden. The rest of the rows will be tomatoes. How many tomato plants will Brenda plant?

Answer: 72 tomato plants

Explanation: Brenda’s vegetable garden has 13 rows with 8 plants in each row as she plans to plant first 2 rows and last 2 rows with pepper, So 13-4= 9 rows contains tomato plants and each row contains 8 plants, So 9×8= 72 tomato plants.

Question 4.
There are 8 rows of 22 chairs set up for an awards ceremony at the school. In each row, the 2 chairs on each end are reserved for students receiving awards. The rest of the chairs are for guests. How many chairs are there for guests?

Answer: 144 Chairs.

Explanation: As there are 8 rows with 22 chairs in each row, So total no. of chairs is 22×8= 176 chairs. As 2 chairs at each end are reserved for students receiving the award, So total chairs reserved are 8×4=32. So remaining chairs are 176-32= 144.

Multiply Using Mental Math – Page No. 116

Use the graph for 5–6.

Question 5.
Mr. Torres took his students to the dolphin show. Each row in the stadium had 11 seats. One adult sat at each end of a row, and each group of 4 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there?
_____ adults including Mr. Torres

Answer: 13 adults.

Explanation: First we must find total no. of rows, As there are 24 students each group contains 4 students, So 24 4= 6 rows. And one adult sat in each end of the row, So in 6 rows 2 people will sit. Therefore total adults are 6×2=12 adults+ Mr. Torres= 13 adults.

Question 6.
Another stadium section has 24 rows of 10 seats each. Describe at least two ways Mrs. Allen’s class can sit if an equal number of students sit in each row.

Answer: 9 rows of 4 students or 6 rows of 6 students.

Explanation: As there are 36 students in Mrs. Allen’s class. So students can sit in 6 rows of 6 students or 9 rows of 4 students.

Question 7.
Carol, Ann, and Liz each bought a toy fish. Carol’s fish is 10 inches longer than Ann’s fish. Liz’s fish is 2 inches longer than twice the length of Ann’s fish. Ann’s fish is 12 inches long. Find the length of each toy fish.
Carol’s: _____ in.         Liz’s: _____ in.

Answer: Carol’s: 22 in., Liz’s: 26in.

Explanation: Ann’s fish is 12 inches longer and Carol’s fish is 10 inches longer than Ann’s fish which means 10+12= 22 inches, So Carol’s fish is 22 inches. Liz’s fish is 2 inches longer than twice the length of Ann’s fish, which means (2×12) +2=24+2= 26 inches.

Question 8.
Evaluate Relationships Nell made a secret code. Each code word has 2 letters. Each word begins with a consonant and ends with a vowel. How many code words can Nell make with 3 consonants and 2 vowels?
_____ code words

Answer: 6 ways.

Explanation: As each word begins with a consonant and ends with a vowel, So the first letter can be any one of 3 consonants and the second letter can be either one of 2 vowels. So Nell can make 3×2= 6 ways.

Question 9.
Allie is building a patio. The patio will have 8 tiles in each of 13 rows. She has already built the center section with 4 tiles in each of 7 rows. How many more tiles are needed to complete the patio? Show your work.

Answer: 76 tiles.

Explanation: Allie had 8 tiles in each of 13 rows, which means 13×8= 104 tiles. And the center section was built by 4 tiles in each of 7 rows, which means 4×7= 28 tiles. So 104-28= 76 tiles more needed to complete the patio.

Common Core – Problem Solving Multistep Multiplication Problems – Page No. 117

Solve each problem.

Question 1.
A 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?

4 × 8 = 32
32 × 6 = 192 squares

Question 2.
Jonah and his friends go apple picking. Jonah fills 5 baskets. Each basket holds 15 apples. If 4 of Jonah’s 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.

Answer: 375 apples.

Explanation: As Jonah fills 5 baskets which holds 15 apples, So Jonah picked 15×5= 75 apples.
And 4 of his friends pick same amount of apples, which means 75×4=300. So total apples Jonah and his friends picked up are 300+75= 375 apples.

Question 3.
There 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?

Answer: 80 chairs.

Explanation: As there are 6 rows of 16 chairs which means 16×6= 96 total chairs. And first 4 rows 2 chairs on each end are reserved for teachers, which means 4×4= 16 chairs are reserved for teachers. So 96-16= 80 chairs are left for the students.

Common Core – Problem Solving Multistep Multiplication Problems – Lesson Check – Page No. 118

Question 1.
At 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?
Options:
a. 126
b. 198
c. 310
d. 324

Answer: b

Explanation: There are 9 rows of 36 spruce trees which means 9×36= 324 spruce trees. And in that, each row has 14 blue spruce trees which mean 14×9= 126. So 324-126= 198 spruce trees are not blue.

Question 2.
Ron 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?
Options:
a. 464
b. 432
c. 400
d. 32

Answer: c

Explanation: Ron places 54 square tiles in each of 8 rows which means 54×8=432 tiles. And he randomly places 8 groups of 4 blue tiles which means 8×4= 32 blue tiles are placed. So no. of white tiles are 432-32= 400.

Question 3.
Juan reads a book with 368 pages. Savannah reads a book with 172 fewer pages than Juan’s book. How many pages are in the book Savannah reads?
Options:
a. 196
b. 216
c. 296
d. 540

Answer: a

Explanation: Juan reads a book with 368 pages and Savannah reads a book with 172 fewer pages than Juan’s which means 368-172= 196 pages are in Savannah’s read.

Question 4.
Hailey has bottles that hold 678 pennies each. About how many pennies does she have if she has 6 bottles filled with pennies?
Options:
a. 3,600
b. 3,900
c. 4,200
d. 6,000

Answer: c

Explanation: Let’s 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 700×6= 4200.

Question 5.
Terrence plants a garden that has 8 rows of flowers, with 28 flowers in each row. How many flowers did Terrence plant?
Options:
a. 1,664
b. 224
c. 164
d. 36

Answer: b

Explanation: As the garden has 8 rows of flowers with 28 flowers in each row, So no. of flowers is 28×8= 224.

Question 6.
Kevin has 5 fish in his fish tank. Jasmine has 4 times as many fish as Kevin has. How many fish does Jasmine have?
Options:
a. 15
b. 20
c. 25
d. 30

Answer: b

Explanation: As Kevin has 5 fishes and Jasmine has 4 times as many as Kevin which means 5×4= 20 fishes Jasmine has.

Problem Solving Multistep Multiplication Problems – Page No. 121

Question 1.
Use the model to find the product.

2 × 36 = _____

Answer: 72

Explanation: 2×36=2×(30+6)
=(2×30)+(2×6)
=60+12
=72

Estimate. Then record the product.

Question 2.
4 2
× 4
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 160
Product: 168

Explanation: Round off 42 to 40 and estimated value is 40×4= 160 and 42×4= 168
4 2
× 4
——-
168

Question 3.
3 2
× 2
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 60
Product: 64

Explanation: Round off 32 to 30 and the estimated value is 30×2= 60 and 32×2= 64.
3 2
× 2
——
64

Question 4.
8 1
× 5
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 400
Product: 405

Explanation: Round off 81 to 80 and the estimated value is 80×5= 400 and 81×5= 405.
81
× 5
——
405

Question 5.
$6 3
× 7
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 420
Product: 441

Explanation: Round off 63 to 60 and the estimated value is 60×7= 420 and 63×7= 441.
$63
× 7
——
441

Estimate. Then record the product.

Question 6.
3 3
× 2
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 60
Product: 66

Explanation: Round off 33 to 30 and the estimated value is 30×2= 60 and 33×2= 66.
3 3
× 2
——
66

Question 7.
$2 5
× 3
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 90
Product: 75

Explanation: Round off 25 to 30 and the estimated value is 30×3= 90 and 25×3= 75.
$25
× 3
——
75

Question 8.
3 6
× 8
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 320
Product: 288

Explanation: Round off 36 to 40 and the estimated value is 40×8= 320 and 36×8= 288.
36
× 8
——
288

Question 9.
$9 4
× 5
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 450
Product: 470

Explanation: Round off 94 to 90 and the estimated value is 90×5= 450 and 94×5= 470.
$94
× 5
——
470

Practice: Copy and Solve Estimate. Then record the product.

Question 10.
3 × 82
Estimate: _________
Product: _________

Answer:
Estimate: 240
Product: 246

Explanation: Round off 82 to 80 and the estimated value is 80×3= 240 and 82×3= 246.
3 2
× 2
——
246

Question 11.
9 × 41
Estimate: _________
Product: _________

Answer:
Estimate: 360
Product: 369

Explanation: Round off 41 to 40 and the estimated value is 40×9= 360 and 41×9= 369.
41
×9
——
369

Question 12.
7 × $23
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 140
Product: 161

Explanation: Round off 23 to 20 and the estimated value is 20×7= 140 and 23×7= 161.
23
× 7
——
161

Question 13.
8 × $54
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 400
Product: 432

Explanation: Round off 54 to 50 and the estimated value is 50×8= 400 and 54×8= 432.
54
×8
——
432

Identify Relationships Algebra Write a rule. Find the unknown numbers.

Question 15.

Answer: 36, 60

Explanation: If 1 carton contains 12 eggs then 3 cartons will have 3×12= 36 and 5 cartons contains 5×12= 60.

Question 16.

Answer: 160, 192

Explanation: If 2 rows have 32 seats then 5 rows will have 5×32= 160 and 6 rows will have 6×32= 192 seats

Question 17.
It will cost $73 per hour to rent a sailboat and $88 per hour to rent a ski boat. How much more will it cost to rent a ski boat than a sailboat for 4 hours?

Answer: $60.

Explanation: Cost of sailboat to rent per hour is $73 and for 4 hours it costs $73×4= $292. And cost of Ski boat to rent per hour is $88 and for 4 hours it costs $88×4= $352. So $352-$292= $60 much more costs for a ski boat than a sailboat.Problem Solving Multistep Multiplication Problems – Page No. 122

Use the table for 18–19.

Question 18.
At the speeds shown, how much farther could a black-tailed jackrabbit run than a desert cottontail in 7 seconds?

Answer: 203 ft.

Explanation: Black-tailed jackrabbit runs at a speed of 51 ft per sec, So in 7 seconds jackrabbit runs 51×7= 357 ft and Desert cottontail runs at a speed of 22 ft per sec, So in 7 seconds it runs 22×7= 154 ft. So 357-154= 203 ft could a black-tailed jackrabbit run than a desert cottontail in 7 seconds.

Question 19.
A black-tailed jackrabbit hops about 7 feet in a single hop. How far can it hop in 5 seconds?
about ______ hops

Answer: 35 hops.

Explanation: As black-tailed jackrabbit hops about 7 feet in a single hop, So in 5 seconds it hops 7×5= 35.

Question 20.
Mr. Wright bought a 3-pound bag of cat food and a 5-pound bag of dog food. There are 16 ounces in each pound. How many ounces of pet food did Mr. Wright buy?

Answer: 128 ounces.

Explanation: Mr. Wright bought a 3-pound bag of cat food and there are 16 ounces in each pound, So 3×16= 48 ounces and 5pound bag of dog food as 5×16= 80 ounces. So total ounces of pet food are 48+80= 128 ounces.

Question 21.
The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?

Answer: 6 and 25.

Explanation: Let the numbers be X and Y, So the sum of two numbers is 31 which means X+Y=31 and product of two numbers is 150 which means X×Y=150. So X=31-Y then replace X=31-Y, So (31-Y)×Y= 150, then 31Y-Y^² = 150 which is Y^² – 31Y+ 150 = 0. By factorization Y= 25 and X×25= 150 then X= 6. Therefore X= 6 and Y= 25.

Question 22.
Use Reasoning 6 × 87 is greater than 5 × 87. How much greater? Explain how you know without multiplying.

Answer: 6×87>5 × 87.

Explanation: As 6 is greater than 5, So 6×87 is greater than 5 × 87

Question 23.
Multiply 6 × 73. For 23a–23d, select True or False for each statement.
a. A reasonable estimate of the product is $420.
i. True
ii. False

Answer: False

Explanation: 6×73= 438

Question 23.
b. Using partial products, the products are 42 and 180.
i. True
ii. False

Answer: False

Explanation: The partial products are 420 and 18

Question 23.
c. Using regrouping, 18 ones are regrouped as 8 tens and 1 one.
i. True
ii. False

Answer: False.

Explanation: 8 tens and 1 one means 81.

Question 23.
d. The product is 438.
i. True
ii. False

Answer: True

Explanation: 6×73= 438

Common Core – Multiply 2-Digit Numbers with Regrouping – Page No. 123

Estimate. Then record the product.

Question 1.
Estimate: 150

Question 2.
3 2
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Question 3.
$5 5
× 2
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $120
Product: $110

Explanation: Round off 55 to 60 and 60×2= 120.
$5 5
× 2
————-
$110

Question 4.
6 1
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 480
Product: 488

Explanation: Round off 61 to 60 and 60×8= 480.
6 1
× 8
———–
488

Question 5.
3 7
× 9
Estimate: ________
Product: ________

Answer:
Estimate: 360
Product: 333

Explanation: Round off 37 to 40 and 40×6= 360.
3 7
× 9
———–
333

Question 6.
$1 8
× 7
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $140
Product: $126

Explanation: Round off 18 to 20 and 20×7= 140.
$1 8
× 7
———-
$126

Question 7.
8 3
× 5
Estimate: ________
Product: ________

Answer:
Estimate: 400
Product: 415

Explanation: Round off 83 to 80 and 80×5= 400.
8 3
× 5
——-
415

Question 8.
9 5
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 800
Product: 760

Explanation: Round off 95 to 100 and 100×8= 800.
9 5
× 8
——–
760

Question 9.
9 4
× 9
Estimate: ________
Product: ________

Answer:
Estimate: 810
Product: 846

Explanation: Round off 94 to 90 and 90×9= 810.
9 4
× 9
——-
846

Question 10.
5 7
× 6
Estimate: ________
Product: ________

Answer:
Estimate: 360
Product: 342

Explanation: Round off 57 to 60 and 60×6= 360.
5 7
× 6
——
342

Question 11.
7 2
× 3
Estimate: ________
Product: ________

Answer:
Estimate: 210
Product: 216

Explanation: Round off 72 to 70 and 70×3= 210.
7 2
× 3
——-
216

Question 12.
$7 9
× 8
Estimate: ________
Product: ________

Answer:
Estimate: $640
Product: $632

Explanation: Round off 79 to 80 and 80×8= 640.
$7 9
× 8
——-
$632

Problem Solving

Question 13.
Sharon 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?

Answer: 162 inches.

Explanation: Sharon is 54 inches tall and a tree in her backyard is 5 times as tall as she is which means 54×5= 270. And her treehouse is twice as tall as she is which means 54×2= 108 inches. So the difference between the top of the tree and the floor of the treehouse is 270-108= 162 inches.

Question 14.
Mr. Diaz’s 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
tickets cost?

Answer: $184.

Explanation: Total no. of students are 23 and tickets cost is $8, So 23×8= $184.

Common Core – Multiply 2-Digit Numbers with Regrouping – Lesson Check – Page No. 124

Question 1.
A 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
each day?
Options:
a. 176
b. 322
c. 332
d. 352

Answer: d

Explanation: Total trips made by the ferryboat each day are 4 and it can hold 88 people, So 88×4= 352 passengers are carried by ferryboat each day.

Question 2.
Julian 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?
Options:
a. 328 miles
b. 248 miles
c. 238 miles
d. 218 miles

Answer: c

Explanation: No. of times Julian drive across the bridge is 7 miles and he crossed the bridge 34 times, So 34×7= 238 miles Julian drive crossing the bridge.

Spiral Review

Question 3.
Sebastian wrote the population of his city as 300,000 + 40,000 + 60 + 7. Which of the following shows the population of Sebastian’s city written in standard form?
Options:
a. 346,700
b. 340,670
c. 340,607
d. 340,067

Answer: d

Explanation: 300,000+40,000+60+7= 340,067.

Question 4.
A 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?
Options:
a. 720 kilometers
b. 820 kilometers
c. 5,000 kilometers
d. 5,100 kilometers

Answer: a

Explanation: Plane flew from Chicago to Flagstaff is 2,190 km and another plane flew from Chicago to Oakland is 2,910, So 2910-2190= 720 km.

Question 5.
Tori buys 27 packages of miniature racing cars. Each package contains 5 cars. About how many miniature racing cars does Tori buy?
Options:
a. 15
b. 32
c. 100
d. 150

Answer: d

Explanation: Let’s round off 27 packages to 30 and each package contains 5 cars, which means 30×5=150.

Question 6.
Which of the following equations represents the Distributive Property?
Options:
a. 3 × 4 = 4 × 3
b. 9 × 0 = 0
c. 5 × (3 + 4) = (5 × 3) + (5 × 4)
d. 6 × (3 × 2) = (6 × 3) × 2

Answer: c

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.

Multiply 2-Digit Numbers with Regrouping – Page No. 127

Question 1.
Tell what is happening in Step 1 of the problem.

Answer: Multiplying 4×6

Explanation: In step 1 Multiplying 4×6= 24.

Estimate. Then find the product.

Question 2.
6 0 3
×   4
————
2,400
Estimate: __________
Product: ___________

Answer:
Estimate: 2400
Product: 2412

Explanation: Rounding off 603 to 600 then 600×4= 2400.
6 0 3
×   4
——–
2412

Question 3.
1,935
×    7
————
Estimate: __________
Product: ___________

Answer:
Estimate: 14,000.
Product: 13,545.

Explanation: Rounding off 1935 to 2000 then 2000×7= 14,000.
1,935
×    7
———
13,545

Question 4.
$ 8,326
×       5
————
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 40,000
Product: 41,630

Explanation: Rounding off 8326 to 8000 then 8000×5= 40,000.
$ 8,326
×       5
———-
41,630

Estimate. Then find the product.

Question 5.
$ 3,316
×       8
—————-
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 24,000.
Product: 26,528.

Explanation: Rounding off 3316 to 3000 then 3000×8= 24,000.
$ 3,316
×       8
———
26,528

Question 6.
$ 2,900
×       7
—————–
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 21,000.
Product: 20,300

Explanation: Rounding off 2900 to 3000 then 3000×7= 21,000.
$ 2,900
×       7
———-
20,300

Question 7.
$ 4,123
×       6
—————–
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 24,000.
Product: 24,738

Explanation: Rounding off 4,123 to 4000 then 4000×6= 24,000.
$ 4,123
×       6
———–
24,738

Question 8.
Mr. Jackson has $5,400 to buy supplies for the school computer lab. He buys 8 boxes of printer ink that cost $149 each and 3 printers that cost $1,017 each. How much money will Mr. Jackson have left after he buys the printer ink and printers?

Answer: $1,157

Explanation: As 8 boxes of printer ink cost $149 each which is $149×8=$1,192 and 3 printers costs $1,017 which is $1,017×3=$3,051. So 3051+1192= 4,243 total spent by Mr. Jackson on Printer ink and printers. The money left are $5,400-$4,243= 1,157.

Practice: Copy and Solve Compare. Write <, >, or = .

Question 9.
5 × 352 _____ 4 × 440

Answer: 5 × 352  = 4 × 440

Explanation: As 5 × 352= 1,760 and 4 × 440= 1,760

Question 10.
6 × 8,167 _____ 9,834 × 5

Answer: 6 × 8,167 <  9,834 × 5

Explanation: As 6 × 8,167= 49,002 and 9,834 × 5= 49,170. So 6 × 8,167 <  9,834 × 5

Question 11.
3,956 × 4 _____ 5 × 7,692

Answer: 3,956 × 4 < 5 × 7,692

Explanation: As 3,956 × 4= 15,824 and 5 × 7,692= 38,460. So 3,956 × 4 < 5 × 7,692

Question 12.
740 × 7 _____ 8 × 658

Answer: 740 × 7 < 8 × 658

Explanation:  As 740 × 7 = 5180 and 8 × 658= 5264. So 740 × 7 < 8 × 658

Question 13.
4 × 3,645 _____ 5 × 2,834

Answer: 4 × 3,645 > 5 × 2,834

Explanation: As 4 × 3,645= 14580 and 5 × 2,834= 14,170. So 4 × 3,645 > 5 × 2,834.

Question 14.
6,573 × 2 _____ 4,365 × 3

Answer: 6,573 × 2 > 4,365 × 3

Explanation: As 6,573 ×2= 13,146 and 4,365 × 3= 13,095. So 6,573 × 2 > 4,365 × 3.

Multiply 2-Digit Numbers with Regrouping – Page No. 128

Question 15.
Airplane tickets to Fairbanks, Alaska, will cost $958 each. Airplane tickets to Vancouver, Canada, will cost $734. How much can the four members of the Harrison family save on airfare by vacationing in Vancouver?

Answer: $896.

Explanation: Airplane tickets cost for Alaska is $958 each. As Harrison family are 4 members so it will cost $958×4= $3,832 And for Vancouver it costs $734 each. So $734×4= $2,936 and Harrison family save $3832-$2936= $896.

Question 16.
Philadelphia, Pennsylvania, is 2,147 miles from Salt Lake City, Utah, and 2,868 miles from Portland, Oregon. What is the difference in the round-trip distances between Philadelphia and each of the other two cities? Explain whether you need an estimate or an exact answer.

Answer: 1,442 mi.

Explanation: The distance between Philadelphia and Salt Lake is 2,147 miles and round-trip distance is 2×2,147= 4,294 miles. And the distance between Philadelphia and Portland is 2,868 miles and the round-trip distance is 2×2868= 5736 miles. So the difference is
5,736-4,294= 1442 miles.

Question 17.
Verify the Reasoning of Others Joe says that the product of a 4-digit number and a 1-digit number is always a 4-digit number. Does Joe’s statement make sense? Explain.

Answer: No, Joe’s statement is incorrect.

Explanation: As there are regrouped thousands, the product of a 4-digit number and a 1-digit number can have 5 digits.

Question 18.
What number is 150 more than the product of 5 and 4,892? Explain how you found the answer.

Answer: 24,610.

Explanation: Let’s find the product of 5×4,892= 54,460 and then add 150 to the product, So 24,460+150= 24,610.

Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 129

Estimate. Then find the product.

Question 1.
Estimate: 4,000

Question 2.
5,339
×    6
————-
Estimate: ________
Product: ________

Answer:
Estimate: 30,000
Product: 32,034

Explanation: Round off 5,339 to 5000 then 5000×6= 30,000.
5,339
×    6
———-
32,034

Question 3.
$879
×   8
————-
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $7,200.
Product: $7,032.

Explanation: Round off 879 to 900 then 900×8= 7,200.
$879
×   8
——–
7,032

Question 4.
3,182
×    5
————-
Estimate: ________
Product: ________

Answer:
Estimate: 15,000
Product: 15,910

Explanation: Round off 3,182 to 3000 then 3000×5= 15,000.
3,182
×    5
———-
15,910

Question 5.
4,616
×    3
————-
Estimate: ________
Product: ________

Answer:
Estimate: 15,000
Product: 13,848

Explanation: Round off 4,616 to 5,000 then 5000×3= 15,000.
4,616
×    3
———
13,848

Question 6.
2,854
×    9
————-
Estimate: ________
Product: ________

Answer:
Estimate: 27,000
Product: 25,686

Explanation: Round off 2,854 to 3000 then 3000×9= 27,000.
2,854
×    9
———
25,686

Question 7.
7,500
×    2
————-
Estimate: ________
Product: ________

Answer:
Estimate: 16,000
Product: 15,000

Explanation: Round off 7,500 to 8000 then 8000×2= 16,000.
7,500
×    2
———
15,000

Question 8.
9 4 8
×   7
————-
Estimate: ________
Product: ________

Answer:
Estimate: 6,300
Product: 6,636

Explanation: Explanation: Round off 948 to 900 then 900×7= 6,300.
9 4 8
×   7
——-
6,636

Question 9.
1,752
×    6
————-
Estimate: ________
Product: ________

Answer:
Estimate: 12,000.
Product: 10,512.

Explanation: Explanation: Round off 1,752 to 2000 then 2000×6= 12,000.
1,752
×    6
———–
10,512

Question 10.
5 5 0
×   9
————-
Estimate: ________
Product: ________

Answer:
Estimate: 5,400
Product: 4,950

Explanation: Round off 550 to 600 then 600×9= 5,400.
5 5 0
×   9
——–
4,950

Question 11.
6,839
×    4
————-
Estimate: ________
Product: ________

Answer:
Estimate: 28,000
Product: 27,356

Explanation: Round off 6,839 to 7000 then 7000×4= 28,000.
6,839
×    4
———-
27,356

Question 12.
$9,614
×      6
————-
Estimate: $ ________
Product: $ ________

Answer:
Estimate: 60,000.
Product: 57,684.

Explanation: Round off 9,614 to 10,000 then 10,000×6= 60,000.
$9,614
×      6
———-
57,684

Problem Solving

Question 13.
Lafayette County has a population of 7,022 people. Columbia County’s population is 8 times as great as Lafayette County’s population. What is the population of Columbia County?

Answer: 56,176 people

Explanation: Lafayette County has a population of 7,022 people and Columbia County’s population is 8 times Lafayette County which means 7,022×8= 56,176.

Question 14.
A 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?

Answer: 54,750 pounds.

Explanation: As the seafood company sold 9,125 pounds of fishes last month and 6 seafood companies also sold the same amount which means 9,125×6= 54,750 pounds.

Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Lesson Check – Page No. 130

Question 1.
By 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?
Options:
a. 24,602 gallons
b. 27,612 gallons
c. 27,812 gallons
d. 28,000 gallons

Answer: c

Explanation: As 1 ton of paper saves 6,953 gallons of water, So 4 tons of paper can save 6,953×4= 27,812.

Question 2.
Esteban 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?
Options:
a. 2,000
b. 2,266
c. 2,276
d. 22,616

Answer: c

Explanation: As Esteban counted 1,138 steps to school and from school, it will be 1,138+1,138=2,276 steps

Spiral Review

Question 3.
A website has 13,406 people registered. What is the word form of this number?
Options:
a. thirty thousand, four hundred six
b. thirteen thousand, four hundred sixty
c. thirteen thousand, four hundred six
d. thirteen thousand, six hundred six

Answer: c

Explanation: 13,406 in words are thirteen thousand four hundred six.

Question 4.
In 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?
Options:
a. 15,000 miles
b. 15,700 miles
c. 16,000 miles
d. 20,000 miles

Answer: c

Explanation: 15,680 nearest thousand is 16,000

Question 5.
Connor scored 14,370 points in a game. Amy scored 1,089 fewer points than Connor. How many points did Amy score?
Options:
a. 12,281
b. 13,281
c. 15,359
d. 15,459

Answer: b

Explanation: Connor scored 14,370 points and Amy scored 1,089 fewer points, So Amy score is 14,370-1089= 13,281.

Question 6.
Lea 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?
Options:
a. $134
b. $90
c. $44
d. $36

Answer: a

Explanation: Lea buys 6 model cars that each cost $15, So the total cost for cars is $15×6= $90.
And 4 bottles of paint that each cost $11, So the total cost of paints is $11×4= $44. Then
$90+$44= $134.

Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 133

Question 1.
Use the order of operations to find the value of n.
5 × 17 + 5 × 20 – 32 = n
n = ______

Answer: 153

Explanation: (5×17)+5×20 –32=
= 85+100-32
=185-32
=153

Find the value of n.

Question 2.
3 × 22 + 7 × 41 – 24 = n
n = ______

Answer: 329.

Explanation: 3×22+7×41–24
=66+287-24
=329.

Question 3.
4 × 34 + 6 × 40 – 66 = n
n = ______

Answer: 310.

Explanation: 4×34+6×40–66=
=136+240-66
=310.

Question 4.
2 × 62 + 8 × 22 – 53 = n
n = ______

Answer: 247

Explanation: 2×62+8×22–53=
= 124+176-53
=300-53
=247.

Question 5.
6 × 13 + 9 × 34 – 22 = n
n = ______

Answer: 362.

Explanation: 6×13+9×34–22=
=78+306-22
=384-22
=362.

Find the value of n.

Question 6.
8 × 42 + 3 × 59 – 62 = n
n = ______

Answer: 451.

Explanation: 8×42+3×59–62=
=336+177-62
=513-62
=451.

Question 7.
6 × 27 + 2 × 47 – 83 = n
n = ______

Answer: 173

Explanation: 6×27+2×47–83=
=162+94-83
=256-83
=173

Question 8.
Maggie has 3 binders with 25 stamps in each binder. She has 5 binders with 24 baseball cards in each binder. If she gives 35 stamps to a friend, how many stamps and cards does she have left?

Answer: 160

Explanation: Maggie has 3 binders with 25 stamps each binder, so total stamps are 3×25= 75. And 5 binders with 24 baseball cards in each binder. So total baseball cards are 24×5=120.
As she gave 35 stamps to a friend, so 75-35= 40. Total stamps and cards she has
120+40= 160

Question 9.
Evaluate Maddox has 4 boxes with 32 marbles in each box. He has 7 boxes with 18 shells in each box. If he gets 20 marbles from a friend, how many marbles and shells does he have?

Answer: 274.

Explanation: Maddox has 4 boxes and 32 marbles in each box, so 4×32= 128. And 7 boxes with 18 shells in each box which means 7×18= 126. And he got 20 marbles from a friend, so
128+20= 148 marbles. So total marbles and shells he has 148+126= 274.

Question 10.
The soccer team sells 54 bagels with cream cheese for $2 each and 36 muffins for $1 each during a bake sale. The coach uses the money to buy socks for the 14 players. The socks cost $6 per pair. How much money does the coach have left? Explain how you found your answer.

Answer: $60.

Explanation: Soccer team sells 54 bagels with cream cheese for $2 each, so 54×2= $108 total amount raised by selling bagels with cream cheese. And 36 muffins for $1 each which means 36×$1= $36 raised by selling muffins. So the total amount raised is $108+$36= $144. And he uses the money to buy socks for 14 players and each pair is $6, So 14×$6= $84 needed to buy socks for the players. So $144-$84= $60 left with the coach after buying socks for the players.

Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 134

Question 11.
What’s the Error? Dominic has 5 books with 12 postcards in each book. He has 4 boxes with 20 coins in each box. If he gives 15 post cards to a friend, how many postcards and coins does he have?

Dominic drew this model.

Dominic used these steps to solve.
5 × 12 + 4 × 20 – 15 = n
60 + 4 × 20 – 15 = n
64 × 20 – 15 = n
1,280 – 15 = n
1,265 = n
Look at the steps Dominic used to solve this problem. Find and describe his error.

Answer: Dominic didn’t follow the order of operations

Question 11.
Use the correct steps to solve the problem.

Answer:
5 × 12 + 4 × 20 – 15 = n
60+4×20-15=n
60+80-15=n
140-15=n
125=n

Common Core – Solve Multistep Problems Using Equations – Page No. 135

Find the value of n.

Question 1.
4 × 27 + 5 × 34 – 94 = n
108 + 5 × 34 – 94 = n
108 + 170 – 94 = n
278 – 94 = n
184 = n

Question 2.
7 × 38 + 3 × 45 – 56 = n
_____ = n

Answer: 345.

Explanation: 7×38+3×45-56=
=266+135-56
=401-56
=345

Question 3.
6 × 21 + 7 × 29 – 83 = n
_____ = n

Answer: 246

Explanation: 6×21+7×29-83=
=126+203-83
=329-83
=246

Question 4.
9 × 19 + 2 × 57 – 75 = n
_____ = n

Answer: 210.

Explanation: 9×19+2×57-75=
=171+114-75
=285-75
=210.

Question 5.
5 × 62 + 6 × 33 – 68 = n
_____ = n

Answer: 440.

Explanation: 5 × 62 + 6 × 33 – 68=
=310+198-68
=508-68
=440

Question 6.
8 × 19 + 4 × 49 – 39 = n
_____ = n

Answer: 309

Explanation: 8×19+4×49-39=
=152+196-39
=348-39
=309

Problem Solving

Question 7.
A 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?

Answer: 121 muffins and cupcakes.

Explanation: 4×16+3×24-15=n
64+3×24-15=n
64+72-15=n
136-15=n
121=n

Question 8.
Katy 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?

Answer: 169 stickers and markers.

Explanation: 5×25+3×12+8=n
125+3×12+8=n
125+36+8=n
169=n

Common Core – Solve Multistep Problems Using Equations – Lesson Check – Page No. 136

Question 1.
What is the value of n?
9 × 23 + 3 × 39 – 28 = n
Options:
a. 240
b. 296
c. 2,310
d. 8,162

Answer: 296

Explanation: 9×23+3×39–28=
=207+117-28
=324-28
=296

Question 2.
Which expression has a value of 199?
Options:
a. 4 × 28 + 6 × 17 – 15
b. 4 × 17 + 6 × 28 – 38
c. 4 × 38 + 6 × 15 – 28
d. 4 × 15 + 6 × 38 – 88

Answer: a

Explanation: 4×28+6×17-15=
=112+102-15
=214-15
=199.

Spiral Review

Question 3.
Which expression shows how you can multiply 9 × 475 using expanded form and the Distributive Property?
Options:
a. (9 × 4) + (9 × 7) + (9 × 5)
b. (9 × 4) + (9 × 70) + (9 × 700)
c. (9 × 400) + (9 × 70) + (9 × 5)
d. (9 × 400) + (9 × 700) + (9 × 500)

Answer: c

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.
9 × 475= (9×400)+(9×70)+(9×5)

Question 4.
Which equation best represents the comparison sentence?
32 is 8 times as many as 4
Options:
a. 32 = 8 × 4
b. 32 × 8 = 4
c. 32 = 8 + 4
d. 8 + 4 = 32

Answer: a

Explanation: 32=8×4

Question 5.
Between which pair of numbers is the exact product of 379 and 8?
Options:
a. between 2,400 and 2,500
b. between 2,400 and 2,800
c. between 2,400 and 3,000
d. between 2,400 and 3,200

Answer: d

Explanation: 379×8= 3,032

Question 6.
Which of the following statements shows the halving and doubling strategy to find 28 × 50?
Options:
a. 28 × 50 = 14 × 100
b. 28 × 50 = (14 × 25) × (14 × 25)
c. 28 × 50 = (20 × 50) × (8 × 50)
d. 28 × 50 = 2 × (14 × 25)

Answer: a

Explanation: 28×50 = 14×100

Review/Test – Page No. 137

For 1–3, use the table.

Question 1.
What is the cost of 3 Bur Oak trees? Show your work.

Answer: $96.

Explanation: Each Bur oak tree costs $32 for 3 and above, so $32×3=$96.

Question 2.
Mr. Tan buys 4 White Pine trees and 5 Birch trees. What is the cost of the trees? Show your work and explain how you found the answer.

Answer: $188.

Explanation: As 4 white pine trees cost is $37 each, so $37×4= $148 and 5 birch trees cost $8 each, so 5×$8= $40. Total cost of trees are $148+$40= $188.

Question 3.
Rudy will buy 3 Ivory Silk Lilac trees or 2 Bur Oak trees. He wants to buy the trees that cost less. What trees will he buy? How much will he save? Show your work.

Answer: Rudy will take 3 Ivory Silk Lilac trees which costs $66.

Explanation: If Rudy buys 3 Ivory Silk Lilac trees which costs $22 each, so $22×3=$66. And if 2 Bur Oak trees price is $35 each which means $35×2= $70. As Rudy wants to buy the trees that cost less, so he will take 3 Ivory Silk Lilac trees which cost $66.

Review/Test – Page No. 138

Question 4.
For numbers 4a–4d, select True or False for each equation.
a. 7 × 194 = 1,338
i. True
ii. False

Answer: False

Explanation: 7×194= 1,338.

Question 4.
b. 5 × 5,126 = 25,630
i. True
ii. False

Answer: True

Explanation: 5×5,126= 25,630.

Question 4.
c. 8 × 367 = 2,926
i. True
ii. False

Answer: False

Explanation: 8×367= 2,936

Question 4.
d. 4 × 3,952 = 15,808
i. True
ii. False

Answer: True

Explanation: 4×3952= 15,808

Question 5.
Part A
Draw a line to match each section in the model to the partial product it represents.

 

Question 5.
Part B
Then find 3 × 146. Show your work and explain.

Answer: 438.

Explanation: By distributive property
3×146= 3×(100+40+6)
=(3×100)+(3×40)+( 3×6)
=300+120+18
=438.

Review/Test – Page No. 139

Question 6.
For numbers 6a–6c, write an equation or a comparison sentence using the numbers on the tiles.
a.


______ times as many as ______ is ______ .

Answer: 8 times as many as 4 is 32.

Explanation: 8×4= 32.

Question 6.
b.

______ × ______ = ______

Answer: 6 times as many as 8 is 48.

Explanation: 6×8= 48.

Question 6.
c.
9 × 3 = 27
______ times as many as ______ is ______ .

Answer: 9 times as many as 3 is 27

Question 7.
Multiply 7 × 43. For 7a–7d, select True or False for each statement.
a. A reasonable estimate of the product is 280.
i. True
ii. False

Answer: True

Explanation: 7×43= 301. Take 43 and round off to 40 then 40×7= 280.

Question 7.
b. Using partial products, the products are 21 and 28.
i. True
ii. False

Answer: False

Explanation: 7×43= 7×(40+3)
=(7×40)+(7×3)
=280+21. So partial products are 280 and 21.

Question 7.
c. Using regrouping, 21 ones are regrouped as 1 ten and 2 ones.
i. True
ii. False

Answer: False.

Explanation: 1 ten and 2 ones is 12

Question 7.
d. The product is 301.
i. True
ii. False

Answer: True.

Explanation: 7×43= 7×(40+3)
=(7×40)+(7×3)
=280+21
=301.

Question 8.
It costs 9,328 points to build each apartment building in the computer game Big City Building. What is the cost to build 5 apartment buildings? Show your work.

Answer: 46,640 points.

Explanation: The cost of each building apartment is 9,328 points. To build 5 apartments its costs 9,3287×5= 46,640 points.

Review/Test – Page No. 140

Question 9.
Multiply 7 × 462 using place value and expanded form.
Choose the number from the box to complete the expression.

Answer: 400, 60, 2

Explanation: 7×462= 7×(400+60+2).

Question 10.
For numbers 10a–10b, use place value to find the product.
a.
3 × 600 = 3 × ______ hundreds
= ______ hundreds
______

Answer: 6 hundreds, 18 hundreds , 1800

Explanation: 3 × 600 = 3 × 6 hundreds
= 18 hundreds
= 1800.

Question 10.
b.
5 × 400 = 5 × ______ hundreds
______ hundreds
______

Answer: 4hundreds, 20hundreds, 2,000.

Explanation: 5 × 400 = 5 × 4hundreds
= 20 hundreds
= 2,000.

Question 11.
Liam has 3 boxes of baseball cards with 50 cards in each box. He also has 5 boxes with 40 basketball cards in each box. If Liam goes to the store and buys 50 more baseball cards, how many baseball and basketball cards does Liam have? Show your work.

Answer: Liam has 400 baseball and baseball cards.

Explanation: Liam has 3 boxes of baseball cards and there are 50 cards in each box, so total cards are 50×3= 150 baseball cards. And he has 5 boxes with 40 baseball cards in each box which means 5×40= 200. So total baseball cards are 150+200= 350. And he went to the store to buy 50 more baseball cards, so total baseball cards are 350+50= 400.

Review/Test – Page No. 141

Question 12.
There is a book sale at the library. The price for each book is $4. Which expression can be used to show how much money the library will make if it sells 289 books? Use the numbers on the tiles to complete your answer.

(4 × ______) + (4 × ______) + (4 × ______)

Answer: 200, 80, 9.

Explanation: As the price of each book is $4, so for 289 books it will be 4×289
= 4×(200+80+9)
=(4×200)+(4×80)+(4×9)
=800+320+36
=1,156.

Question 13.
Find 8 × 397. Show your work and explain why the strategy you chose works best with the factors.

Answer: 3,176.

Explanation: 8×397= 8×(300+90+7)
=(8×300)+(8×90)+(8×7)
=2400+720+56
=3,176.

Question 14.
A clown bought 6 bags of round balloons with 24 balloons in each bag. The clown also bought 3 bags of long balloons with 36 balloons in each bag.
Part A
How many more long balloons than round balloons did the clown buy? Show your work.
______ balloons

Answer: 36.

Explanation: As clown bought 6 bags of round balloons with 24 balloons in each bag, so
6×24= 144 and 3 bags of long balloons with 36 balloons in each bag, so 3×36= 108, So
144-108= 36.

Question 14.
Part B
The clown also bought 5 bags of heart-shaped balloons with 14 balloons in each bag. When the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst. How many blown-up balloons were left? Explain your answer.
______ blown-up balloons

Answer: 299.

Explanation: The no. of heart-shaped balloons 5×14= 70. Then add that number to the number of round balloons and long balloons 70+144+108= 322 balloons in all. Then subtract the number of burst balloons, so 322-23= 299 balloons left.

Review/Test – Page No. 142

Question 15.
Hector planted 185 flowers in 2 days. There were 5 volunteers, including Hector, who each planted about the same number of flowers. About how many flowers did they plant?

Answer: 1000.

Explanation: Hector planted 185 flowers in 2 days, so 5 volunteers can plant 185×5= 925.

Question 16.
Jay and Blair went fishing. Together, they caught 27 fish. Jay caught 2 times as many fish as Blair. How many fish did Jay and Blair each catch? Write an equation and solve. Explain your work.
Jay: ______ fish;         Blair: ______ fish

Answer: Blair caught 9 fishes and Jay caught 18 fishes.

Explanation: Blair caught n fish and Jay caught 2×n fish. Together they caught 3×n fish, so
3×n= 27 and n= 9 fishes, and 2×n= 18 fishes. Blair caught 9 fishes and Jay caught 18 fishes

Question 17.
At the pet fair, Darlene’s dog weighed 5 times as much as Leah’s dog. Together, the dogs weighed 84 pounds. How much did each dog weigh? Complete the bar model. Write an equation and solve.

Leah’s dog: ______ pounds; Darlene’s dog: ______ pounds;

Answer: Leah’s dog is 14 pound and Darlene’s dog weight is 70 pounds.

Explanation:

Let Leah’s dog weight be X and Darlene’s is 5 times as many as Leah’s, so Darlene’s dog weight be 5X. As together weight is 84 pounds, then X+5X= 84 and X= 14. So Leah’s dog weight is 14 and Darlene’s dog weight is 5×14= 70.

Question 18.
Use the Distributive Property to model the product on the grid.
Record the product.

4 × 12 = ______

Answer: 4×12= 48.

Explanation: 4×12=4×(10+2)
=(4×10)+(4×2)
=40+8
=48

Page No. 147

Question 1.
Find 20 × 27. Tell which method you chose. Explain what happens in each step.

Answer: 540

Explanation: It is mental maths. Because 2×27= 54 and 20×27= 540.

Choose a method. Then find the product.

Question 2.
10 × 12 = ______

Answer: 120

Explanation: Mental math, as 1×12=12 and 10×12= 120

Question 3.
20 × 20 = ______

Answer: 400

Explanation: Mental math, as 2×2=4 and 20×20= 400

Question 4.
40 × 24 = ______

Answer: 960

Explanation: Mental math, as 4×24=96 and 40×24= 960

Question 5.
11 × 60 = ______

Answer: 660

Explanation: Mental math, as 11×6=66 and 11×60= 660

Choose a method. Then find the product.

Question 6.
70 × 55 = ______

Answer: 3850

Explanation: Mental math, as 7×55=385 and 70×55= 3850

Question 7.
17 × 30 = ______

Answer: 510

Explanation: Mental math, as 17×3=51 and 17×30= 510

Question 8.
30 × 60 = ______

Answer: 1800

Explanation: Mental math, as 30×60=1800 and 30×60= 1800

Question 9.
12 × 90 = ______

Answer: 1080

Explanation: Mental math, as 12×9=108 and 12×90= 1080.

Reason Quantitatively Algebra Find the unknown digit in the number.

Question 10.
64 × 40 = 2,56■
■ = ______

Answer: 2,560

Explanation: Mental math, as 64×4=256 and 64×40= 510

Question 11.
29× 50 = 1,★50
★ = ______

Answer: 4

Explanation: Mental math, as 29×5=145 and 29×50= 1450

Question 12.
3⧫× 47 = 1,410
⧫ = ______

Answer: 0

Explanation: Mental math, as 3×47=1410 and 30×47= 1410

Question 13.
Caroline packs 12 jars of jam in a box. She has 40 boxes. She has 542 jars of jam. How many jars of jam will she have left when all the boxes are full?

Answer: 62 jars.

Explanation: Caroline packs 12 jars in a box and she has 40 boxes, so total boxes are
12×40= 480 boxes. As she has 542 jars of jam, so total jars left are 542-480= 62 jars.

Question 14.
Alison is preparing for a math contest. Each day, she works on multiplication problems for 20 minutes and division problems for 10 minutes. How many minutes does Alison practice multiplication and division problems in 15 days?

Answer: 450 mins.

Explanation: As Alison works on multiplication problems for 20 mins and 10 mins on division problems, So total time taken by Alison is 20+10=30 mins. So for 15 days Alison takes
15×30= 450 mins.

Page No. 148

Use the table for 15–16.

Question 15.
Use Graphs How many frames did it take to produce 50 seconds of Pinocchio?

Answer: 950 Frames.

Explanation: Total frames are 50×19= 950 frames.

Question 16.
Are there fewer frames in 10 seconds of The Flintstones or in 14 seconds of The Enchanted Drawing? What is the difference in the number of frames?

Answer: 40

Explanation: The Flintstone frames in 10 seconds are 10×24= 240 and The Enchanted Drawing frames are 14×20= 280. So the difference between them is 280-240= 40.

Question 17.
The product of my number and twice my number is 128. What is half my number? Explain how you solved the problem.

Answer: 4.

Explanation: First make a table to test numbers less than 10 since 10×20= 200, and 2×8= 16 then 8×16= 128 and 8÷2= 4.

Question 18.
Tanya says that the product of a multiple of ten and a multiple of ten will always have only one zero. Is she correct? Explain.

Answer: No.

Explanation: The product of two multiples of ten will always have at least 2 zeros.

Question 19.
For numbers 19a–19e, select Yes or No to tell whether the answer is correct.
a. 28 × 10 = 280
i. yes
ii. no

Answer: Yes

Question 19.
b. 15 × 20 = 300
i. yes
ii. no

Answer: Yes

Question 19.
c. 17 × 10 = 17
i. yes
ii. no

Answer: No

Question 19.
d. 80 × 10 = 800
i. yes
ii. no

Answer: Yes

Question 19.
e. 16 × 30 = 1,800
i. yes
ii. no

Answer: No

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Chapter 4: Review/Test

• Review/Test – Page No. 187
• Review/Test – Page No. 188
• Review/Test – Page No. 189
• Review/Test – Page No. 190

Review/Test – Page No. 187

Choose the best term from the box.

Question 1.
1. When a number cannot be divided evenly, the amount left over is called the:

Answer:
When a number cannot be divided evenly, the amount left over is called the remainder.

Question 2.
You use the _______________ method of dividing when multiples of the divisor are subtracted from the dividend and then the quotients are added together.

Answer:
You use the compatible numbers method of dividing when multiples of the divisor are subtracted from the dividend and then the quotients are added together.

Use grid paper or base-ten blocks to model the quotient.

Then record the quotient.

Question 3.
96 ÷ 6 = ____

Answer: 16

Explanation:

Question 4.
86 ÷ 2 = ____

Answer: 43

Explanation:

Question 5.
155 ÷ 5 = ____

Answer: 31

Explanation:

Find two numbers the quotient is between.
Then estimate the quotient.

Question 6.
787 ÷ 2
Estimate: ____

Answer: 400.

Explanation:
787 ÷ 2= 393.5
Estimate: 800 ÷ 2= 400.

Question 7.
391 ÷ 6
Estimate: ____

Answer: 65.

Explanation:
391 ÷ 6= 65.157
Estimate: 390 ÷ 6= 65

Question 8.
789 ÷ 8
Estimate: ____

Answer: 100.

Explanation:
789 ÷ 8= 98.62
Explanation: 800 ÷ 8= 100.

Divide.

Question 9.
3)\(\overline { 987 } \)
____

Answer: 329.

Explanation:
3)\(\overline { 987 } \)
= 987÷3
= 329.

Question 10.
7)\(\overline { 501 } \)
____ R ____

Answer: 71 R 4.

Explanation:
7)\(\overline { 501 } \)
= 501÷7
= 71 R 4.

Question 11.
5)\(\overline { 153 } \)
____ R ____

Answer: 30 R 3.

Explanation:
5)\(\overline { 153 } \)
= 153÷5
= 30 R 3.

Question 12.
4)\(\overline { 808 } \)
____ R ____

Answer: 202 R 0.

Explanation:
4)\(\overline { 808 } \)
= 808÷4
= 202 R 0.

Question 13.
6)\(\overline { 8,348 } \)
____ R ____

Answer: 1391 R 2.

Explanation:
6)\(\overline { 8,348 } \)
= 8348÷6
= 1391 R 2.

Question 14.
8)\(\overline { 4,897 } \)
____ R ____

Answer: 612 R 1.

Explanation:
8)\(\overline { 4,897 } \)
= 4897÷8
= 612 R 1.

Review/Test – Page No. 188

Fill in the bubble completely to show your answer.

Question 15.
There are 96 tourists who have signed up to tour the island. The tourists are assigned to 6 equal-size groups. How many tourists are in each group?
Options:
a. 1 r3
b. 1 r6
c. 11
d. 16

Answer: 16.

Explanation:
As there are 96 tourists who have signed up to tour the island and the tourists are assigned to 6 equal-size groups. So the number of tourists are in each group is 96÷6= 16.

Question 16.
Maria needs to share the base-ten blocks equally among 4 equal groups.

Which model shows how many are in each equal group?
Options:
a.
b.
c.
d.

 

Question 17.
Manny has 39 rocks. He wants to put the same number of rocks in each of 7 boxes. Which sentence shows how many rocks will be in each box?
Options:
a. He will need 6 boxes.
b. There will be 6 rocks in each box.
c. There will be 5 rocks in each box.
d. There will be 5 rocks left over.

Answer: c

Explanation:
As Manny has 39 rocks. He wants to put the same number of rocks in each of the 7 boxes, so there will be 5 rocks in each box.

Review/Test – Page No. 189

Fill in the bubble completely to show your answer.

Question 18.
There are 176 students in the marching band. They are arranged in equal rows of 8 students for a parade. How many rows of students are there?
Options:
a. 220 rows
b. 120 rows
c. 22 rows
d. 21 rows

Answer: c

Explanation:
As there are 176 students in the marching band and they arranged in equal rows of 8 students for a parade, so 176÷8= 22 rows of students are there.

Question 19.
Naomi wants to plant 387 tulip bulbs in 9 equal rows. She uses division to find the number of tulips in each row. In which place is the first digit of the quotient?
Options:
a. ones
b. tens
c. hundreds
d. thousands

Answer: b

Explanation:
Naomi wants to plant 387 tulip bulbs in 9 equal rows and she uses division to find the number of tulips in each row, so 387÷9= 43. And the first digit of the quotient is tens place.

Question 20.
Kevin and 2 friends are playing a game of cards. There are 52 cards in the deck to be shared equally. Kevin wants each player to receive the same number of cards. How many cards will each player receive? How many cards will be left over?
Options:
a. 16 cards and 4 cards left over
b. 17 cards and 1 card left over
c. 25 cards and 2 cards left over
d. 26 cards and no cards left over

Answer: d.

Explanation:
Kevin and 2 friends are playing a game of cards and there are 52 cards in the deck to be shared equally, as Kevin wants each player to receive the same number of cards, each player will receive 52÷2= 26. So 26 cards each player receives and no cards left over.

Question 21.
Which number is the quotient?
1,125 ÷ 5 = ■
Options:
a. 25
b. 105
c. 125
d. 225

Answer: d

Explanation:
1,125 ÷ 5 =225.

Review/Test – Page No. 190

Constructed Response

Question 22.
Mrs. Valdez bought 6 boxes of roses. Each box had 24 roses. She divided all the roses into 9 equal bunches. How many roses were in each bunch? Explain how to use a diagram to help solve the problem. Show your diagrams.
______ roses

Answer: 16 roses.

Explanation:
As Mrs. Valdez bought 6 boxes of roses and each box had 24 roses, so the total number of roses are 6×24= 144 then she divided all the roses into 9 equal bunches. So each bunch will have 144÷9= 16 roses.

Performance Task

Question 23.
Mr. Owens plans to rent tables for a spaghetti fundraiser. He needs to seat 184 people.

A. If Mr. Owens wants all rectangular tables, how many tables should he rent? Explain.
______ tables

Answer: 31 tables.

Explanation:
The number of rectangular tables Mr. Owens should rent is 184÷6= 30.67. We will round off 30.67 to 31, so 31 tables he should rent.

Question 23.
B. Square tables rent for $12 each. Circular tables rent for $23 each. Mr. Owens says it would cost him less to rent square tables instead of circular tables. Is he right? Explain.

Answer: Yes, Mr. Owens is wrong.

Explanation:
As square tables rent for $12 each and circular tables rent for $23 each, so if Mr. Owens chooses square tables to rent and it has only 4 chairs, so 184÷4= 46 square tables should he rent which costs 46×$12= $552. And if Mr. Owens chooses circular tables he should rent 184÷8= 23 circular tables and which costs 23×$23= $529. So if he chooses circular tables he can pay less rent.

Conclusion:

Master in maths grade 4 chapter 4 concepts by using the Go math answer key and score higher grades in the exams. Be in touch with our web portal to get updates on Class Specific Go Math Answer Key at your fingertips.

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Go Math 3rd Grade Answer Key Chapter 10 Time Length Liquid Volume and Mass

You will have different topics like Time to the Minute, Measure Time Intervals, Use Time Intervals, etc. Concepts of 3rd Grade Chapter 10 will be no longer difficult with our Go Math Grade 3 Solutions Key Ch 10 Time Length Liquid Volume and Mass. Step by Step Solutions provided helps you to master the concepts and become a pro in the subject.

Time to the Minute – Page No. 565

Write the time. Write one way you can read the time.

Question 1.

Answer:  1:16; sixteen minutes after one

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 1 Hour 16 minutes
Read:  sixteen minutes after  one

Question 2.

Type below:
___________

Answer: 10:20; twenty minutes after ten

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 10 Hour 20 minutes
Read:  twenty minutes after  ten

Question 3.

Type below:
____________

Answer: 4:13;  thirteen minutes after four

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 4 Hour 13 minutes
Read:  thirteen minutes after  four

Question 4.

Type below:
____________

Answer: 12:05; five minutes after twelve

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 12 Hour 05 minutes
Read:  five minutes after  twelve

Question 5.

Type below:
____________

Answer: 7:24; twenty four minutes after seven

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 7 Hour 24 minutes
Read: twenty-four minutes after seven

Question 6.

Type below:
____________

Answer: 2:51; nine minutes before three

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 2:51
Read:
nine minutes before three

Write the time another way.

Question 7.
23 minutes after 4
______ : ______

Answer: 4:23

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 8.
18 minutes before 11
______ : ______

Answer: 10:42

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 9.
10 minutes before 9
______ : ______

Answer: 8:50

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 10.
7 minutes after 1
______ : ______

Answer: 1:07

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Problem Solving

Question 11.
What time is it when the hour hand is a little past the 3 and the minute hand is pointing to the 3?
______ : ______

Answer: 3:15

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 8.

Question 12.
Pete began practicing at twenty-five minutes before eight. What is another way to write this time?
______ : ______

Answer: 7:35

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Time to the Minute – Page No. 566

Lesson Check

Question 1.
Which is another way to write 13 minutes before 10?
Options:
a. 9:47
b. 10:13
c. 10:47
d. 11:13

Answer: a. 9:47

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 2.
What time does the clock show?

Options:
a. 2:20
b. 2:40
c. 3:20
d. 4:10

Answer: a. 2:20

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Spiral Review

Question 3.
Each bird has 2 wings. How many wings will 5 birds have?
Options:
a. 7
b. 8
c. 9
d. 10

Answer: d. 10

Explanation:
STEP 1 Draw 2 counters in each group.
STEP 2 Skip count to find how many wings in all. Skip count by 2s until you say 5 numbers (groups)
There are 5 groups with 2 wings in each group. So, there are 10 wings in all.

Question 4.
Find the unknown factor.
9 × ■ = 36
Options:
a. 4
b. 6
c. 8
d. 27

Answer: a. 4

Explanation:
Count how many rows of 36 counters there are.
There are  9 rows of 36 counters. The unknown factor is 4 (c0lumns). n = 4
9× 4 = 36

Question 5.
Mr. Wren has 56 paintbrushes. He places 8 paintbrushes on each of the tables in the art room. How many tables are in the art room?
Options:
a. 6
b. 7
c. 9
d. 48

Answer: b. 7

Explanation:
STEP 1 Draw 56 counters.
STEP 2 Make a group of 8 counters by drawing a circle around them. Continue circling groups of 8 until all 56 counters are in groups.
There are 7 groups of 56 counters.

Question 6.
Which number completes the equations?
4 × ▲ = 20 20 ÷ 4 = ▲
Options:
a. 4
b. 5
c. 6
d. 16

Answer: b. 5

Explanation:
Count how many rows of 20 counters there are. There are  4 rows of 20 counters. The unknown factor is 5 (c0lumns). n = 5
4× 5 = 20
STEP 1 Draw 20 counters.
STEP 2 Make a group of 4 counters by drawing a circle around them. Continue circling groups of 4 until all 20 counters are in groups.
There are 5 groups of 20 counters.

A.M. and P.M. – Page No. 571

Write the time for the activity. Use A.M. or P.M.

Question 1.
eat lunch

Answer: 12:20 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we have our lunch in the afternoon around 12:00 noon to 1:00 P.M. which falls in the period of 12:00 noon to 12:00 at midnight hence the time 12:20 is considered to be P.M.

Question 2.
go home after school

_____ : _____ _____ (A.M./P.M.)

Answer: 2:53 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since the school hours end in the evening and students return to their home around 2:30 P.M. to 3:30 P.M. which falls in the period of 12:00 noon to 12:00 at midnight hence the time 2:53 is considered to be P.M.

Question 3.
see the sunrise

_____ : _____ _____ (A.M./P.M.)

Answer: 6:18 A.M.

Explanation:
The times after midnight and before noon is written with A.M. At the early hours of the day sunrises which falls in the period of  12:00 at midnight to 12:00 noon, therefore the time 6:18 is considered to be A.M.

Question 4.
go for a walk

_____ : _____ _____ (A.M./P.M.)

Answer: 3:55 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since the people go for a walk to refresh their minds in the evening hours which falls in the period of 12:00 noon to 12:00 at midnight the time 3:55 is considered to be P.M.

Question 5.
go to school

_____ : _____ _____ (A.M./P.M.)

Answer: 8:10 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since students go to the school in the morning hours which falls in the period of  12:00 at midnight to 12:00 noon, therefore, the time 8:10 is considered to be A.M.

Question 6.
get ready for art class

_____ : _____ _____ (A.M./P.M.)

Answer: 10:36 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since students go to the art class in the morning hours which falls in the period of  12:00 at midnight to 12:00 noon, therefore, the time 10:36 is considered to be A.M.

Write the time. Use A.M. or P.M.

Question 7.
13 minutes after 5:00 in the morning
_____ : _____ _____ (A.M./P.M.)

Answer: 5:13 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since 5:00 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time is considered to be A.M.

 

Question 8.
19 minutes before 9:00 at night
_____ : _____ _____ (A.M./P.M.)

Answer: 8:41 P.M.

Explanation:
The times afternoon and before midnight is written with P.M.  Since 8:41 in the night time falls in the period of 12:00 noon to 12:00 at midnight, therefore, the time 8:41 is considered to be P.M.

Question 9.
quarter before midnight
_____ : _____ _____ (A.M./P.M.)

Answer: 11:45P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 11:45 in the night time falls in the period of 12:00 noon to 12:00 at midnight, therefore, the time 11:45 is considered to be P.M.

Question 10.
one-half hour after 4:00 in the morning
_____ : _____ _____ (A.M./P.M.)

Answer: 4:30 A.M.

Explanation:
One-half hour = 30 minutes So, by adding 30 minutes to 4:00 A.M. in the morning. We get the time to be 4:30 A.M.
The times after midnight and before noon is written with A.M.  Since 4:30 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time is considered to be A.M

Problem Solving

Question 11.
Jaime is in math class. What time is it? Use A.M. or P.M.

_____ : _____ _____ (A.M./P.M.)

Answer: 1:25 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 1:25 in the afternoon hours fall in the period of 12:00 noon to 12:00 at midnight, therefore, the time1:25 is considered to be P.M.

Question 12.
Pete began practicing his trumpet at fifteen minutes past three. Write this time using A.M. or P.M.
_____ : _____ _____ (A.M./P.M.)

Answer: 3:15 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 3:15 in the evening hours fall in the period of 12:00 noon to 12:00 at midnight, therefore, the time 3:15 is considered to be P.M.

A.M. and P.M. – Page No. 572

Lesson Check

Question 1.
Steven is doing his homework. What time is it? Use A.M. or P.M.

Options:
a. 4:15 P.M.
b. 4:25 A.M.
c. 4:35 P.M.
d. 4:35 A.M.

Answer: c. 4:35 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 4:35 in the evening hours fall in the period of 12:00 noon to 12:00 at midnight, therefore, the time 4:35 is considered to be P.M.

Question 2.
After he finished breakfast, Mr. Edwards left for work at fifteen minutes after seven. What time is this? Use A.M. or P.M.
Options:
a. 6:15 A.M.
b. 7:15 A.M.
c. 6:45 P.M.
d. 7:30 P.M.

Answer: b. 7:15 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since 7:15 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time 7:15 is considered to be A.M.

Spiral Review

Question 3.
Which division equation is related to the multiplication equation 4 × 6 = 24
Options:
a. 24 ÷ 8 = 3
b. 12 ÷ 3 = 4
c. 6 × 4 = 24
d. 24 ÷ 4 = 6

Answer: d. 24 ÷ 4 = 6

Explanation:
STEP 1 Draw 24 counters.
STEP 2 Make a group of 4 counters by drawing a circle around them. Continue circling groups of 4 until all 24 counters are in groups.
There are 6 groups of 24 counters.

Question 4.
There are 50 toothpicks in each box. Jaime buys 4 boxes for her party platter. How many toothpicks does Jaime buy in all?
Options:
a. 20
b. 54
c. 200
d. 2,000

Answer: c. 200

Explanation:
Step1 let there be 50 toothpicks in each box.
Step2 the number of boxes required is 4
Step3 total number of toothpicks will be the number of boxes multiplied by the number of toothpicks in each box.
4 × 50=200

Question 5.
A pet store sold 145 bags of beef-flavored dog food and 263 bags of cheese-flavored dog food. How many bags of dog food were sold in all?
Options:
a. 118
b. 308
c. 408
d. 422

Answer: c. 408

Explanation:
Total number of bags of dog food sold=145+263

 

 

 

Question 6.
Victoria and Melody are comparing fraction strips. Which statement is NOT correct?
Options:
a. \(\frac{1}{4}\) < \(\frac{4}{4}\)
b. \(\frac{3}{6}\) > \(\frac{4}{6}\)
c. \(\frac{2}{8}\) > \(\frac{1}{8}\)
d. \(\frac{2}{3}\) > \(\frac{3}{3}\)

Answer: b. \(\frac{3}{6}\) > \(\frac{4}{6}\)

Explanation:

Take two blocks of the same size and both are made of 6 equal-size squares.
3  squares are shaded green while 4 are shaded with red.
Compare 3/6 and 4/6.
The greater fraction will have the larger
amount of the whole shaded.
Therefore, 3/6>4/6.

Measure Time Intervals – Page No. 577

Find the elapsed time.

Question 1.
Start: 8:10 A.M. End: 8:45 A.M.

Answer: 35 minutes

Explanation:
STEP 1 Find 8:10 A.M. on the number line. Count on from 8:10 A.M. to 8:45 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 8:10 A.M. to 8:45 A.M. From 8:10 A.M. to 8:45 A.M. is 35 minutes.
So, the elapsed time is 35 minutes

Question 2.
Start: 6:45 P.M. End: 6:54 P.M.

_______ minutes

Answer: 9 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 6:54 P.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 9 minutes.

Question 3.
Start: 3:00 P.M. End: 3:37 P.M.

_______ minutes

Answer: 37 minutes

Explanation:
STEP 1 Find3:00 P.M. on the number line. Count on from 3:00 P.M. to 3:37 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from3:00 P.M. to 3:37 P.M. From 3:00 P.M. to 3:37 P.M. is 37 minutes.
So, the elapsed time is 37 minutes

Question 4.
Start: 10:05 A.M. End: 10:21 A.M.

_______ minutes

Answer: 16 minutes

Explanation:
STEP 1 Find10:05 A.M. on the number line. Count on from 10:05 A.M. to 10:21 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 10:05 A.M. to 10:21 A.M. From 10:05 A.M. to 10:21 A.M. is 16 minutes.
So, the elapsed time is 16 minutes

Question 5.
Start: 7:30 A.M. End: 7:53 A.M.

_______ minutes

Answer: 23 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to7:53 A.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 23 minutes.

Question 6.
Start: 5:20 A.M. End: 5:47 A.M.

_______ minutes

Answer: 27 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 5:47 A.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 27 minutes.

Problem Solving

Question 7.
A show at the museum starts at 7:40 P.M. and ends at 7:57 P.M. How long is the show?
_______ minutes

Answer: 17 minutes

Explanation:
STEP 1 Find 7:40 P.M. on the number line. Count on from 7:40 P.M. to 7:57 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 7:40 P.M. to 7:57 P.M. From 7:40 P.M. to 7:57 P.M. is 17 minutes.
So, the elapsed time is 17 minutes
The duration of the show is 17 minutes.

Question 8.
The first train leaves the station at 6:15 A.M. The second train leaves at 6:55 A.M. How much later does the second train leave the station?
_______ minutes

Answer: 40 minutes later

Explanation:
STEP 1 Find 6:15 A .M. on the number line. Count on from 6:15 A.M. to 6:55 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 6:15 A.M. to 6:55 A.M. From 6:15 A .M. to 6:55 A.M. is 40 minutes.
So, the second train will leave the station in 40 minutes

Measure Time Intervals – Page No. 578

Lesson Check

Question 1.
Marcus began playing basketball at 3:30 P.M. and stopped playing at 3:55 P.M. For how many minutes did he play basketball?
Options:
a. 25 minutes
b. 30 minutes
c. 55 minutes
d. 85 minutes

Answer: a. 25 minutes

Explanation:
STEP 1 Find 3:30 P.M. on the number line. Count on from 3:30 P.M. to 3:55 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from3:30 P.M. to3:55 P.M. From 3:30 P.M. to 3:55 P.M. is 25 minutes.
So, the elapsed time is 25 minutes
Marcus played basketball for 25 minutes.

Question 2.
The school play started at 8:15 P.M. and ended at 8:56 P.M. How long was the school play?
Options:
a. 15 minutes
b. 31 minutes
c. 41 minutes
d. 56 minutes

Answer: c. 41 minutes

Explanation:
STEP 1 Find 8:15 P.M. on the number line. Count on from 8:15 P.M. to 8:56 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 8:15 P.M. to 8:56 P.M. From 8:15 P.M. to 8:56 P.M. is 41  minutes.
So, the elapsed time is 41 minutes
Therefore, the school play was for 41 minutes.

Spiral Review

Question 3.
Each car has 4 wheels. How many wheels will 7 cars have?
Options:
a. 11
b. 24
c. 27
d. 28

Answer: d. 28

Explanation:
STEP 1 Draw 4 counters in each group.
STEP 2 Skip count to find how many wheels in all. Skip count by 4s until you say 7 numbers (groups)
There are 7 groups with 4 wheels in each group. So, there are 28 wheels in all.

Question 4.
Which number completes the equations?
3 × ■ = 27 27 ÷ 3 = ■
Options:
a. 6
b. 7
c. 8
d. 9

Answer: d. 9

Explanation:
Count how many rows of 27 counters there are. There are  3 rows of 27 counters. The unknown factor is 9 (c0lumns). n = 9
3 × 9 = 27
STEP 1 Draw 27 counters.
STEP 2 Make a group of 3 counters by drawing a circle around them. Continue circling groups of 3 until all 27 counters are in groups.
There are 9 groups of 27 counters.

Question 5.
There are 20 napkins in each package. Kelli bought 8 packages for her party. How many napkins did Kelli buy in all?
Options:
a. 28
b. 40
c. 160
d. 180

Answer: c. 160

Explanation:
Step1 let there be 20 napkins in each package.
Step2 the number of packages required is 8
Step3 total number of napkins will be the number of packages multiplied by the number of napkins in each package.
8 × 20=160

Question 6.
Mr. Martin drove 290 miles last week. This week he drove 125 miles more than last week. How many miles did Mr. Martin drive this week?
Options:
a. 125 miles
b. 165 miles
c. 315 miles
d. 415 miles

Answer: d. 165 miles

Explanation:
Total number of miles drove by Mr Martin in this week = 290+125

Use Time Intervals – Page No. 583

Find the starting time.

Question 1.
Ending time: 4:29 P.M.
Elapsed time: 55 minutes

Answer: 3:34 P.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 55 minutes
So, the starting time is 3:34 P.M.

Question 2.
Ending time: 10:08 A.M.
Elapsed time: 30 minutes

______ : ______ ______ (A.M./P.M.)

Find the ending time.

Answer: 9:38 A.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 3o minutes. Write the missing counting numbers next to the clock.
So, the starting time is 9:38 A.M.

Question 3.
Starting time: 2:15 A.M.
Elapsed time: 45 minutes

______ : ______ ______ (A.M./P.M.)

Answer: 3:00 A.M.

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 3:00 A.M.
So, the ending time is 3:00 A.M.

Question 4.
Starting time: 6:57 P.M.
Elapsed time: 47 minutes

______ : ______ ______ (A.M./P.M.)

Answer: 7:44 P.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 47 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 7:44 P.M.

Problem Solving

Question 5.
Jenny spent 35 minutes doing research on the Internet. She finished at 7:10 P.M. At what time did Jenny start her research?
______ : ______ ______ (A.M./P.M.)

Answer: 6:35 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 35 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 6:35 A.M.

Question 6.
Clark left for school at 7:43 A.M. He got to school 36 minutes later. At what time did Clark get to school?
______ : ______ ______ (A.M./P.M.)

Answer: 8:19 A.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 36 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 8:19 A.M.

Use Time Intervals – Page No. 584

Lesson Check

Question 1.
Cody and his friends started playing a game at 6:30 P.M. It took them 37 minutes to finish the game. At what time did they finish?
Options:
a. 5:07 P.M.
b. 5:53 P.M.
c. 6:53 P.M.
d. 7:07 P.M.

Answer: d. 7:07 P.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 37 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 7:07 P.M.

Question 2.
Delia worked for 45 minutes on her oil painting. She took a break at 10:35 A.M. At what time did Delia start working on the painting?
Options:
a. 9:40 A.M.
b. 9:50 A.M.
c. 11:20 A.M.
d. 11:30 A.M.

Answer: b. 9:50 A.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 45 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 9:50 A.M.

Spiral Review

Question 3.
Sierra has 30 collector’s pins. She wants to put an equal number of pins in each of 5 boxes. How many pins should she put in each box?

Options:
a. 4
b. 5
c. 6
d. 8

Answer: c. 6

Explanation:
Use 30 counters.
Take 5 boxes.
Place 1 counter at a time in each box until all 30 counters are used.
Place the rest of the counters till all the 30 counters (pins) are completed.
Total number of counters in each box is 6.

Question 4.
What time is shown on the clock?

Options:
a. 1:24
b. 2:24
c. 4:12
d. 5:12

Answer: b. 2:24

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 2:24
Read:
• twenty-four minutes after two

Question 5.
Ricardo has 32 books to put on 4 shelves. He puts the same number of books on each shelf. How many books does Ricardo put on each shelf?
Options:
a. 6
b. 7
c. 8
d. 9

Answer: c. 8

Explanation:
Use 32 counters. (books)
The number of shelves is 4.
Place 1 counter at a time in each shelf until all 32 counters are used.
Place the rest of the counters till all the 32 counters (books) are completed.
Total number of counters in each shelf is 8.

Question 6.
Jon started playing a computer game at 5:35 P.M. He finished the game at 5:52 P.M. How long did Jon play the game?
Options:
a. 17 minutes
b. 23 minutes
c. 25 minutes
d. 27 minutes

Answer: a. 17 minutes

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 5:52 P.M. Write the missing counting numbers next to
the clock.
So, Jon has spent 17 minutes on the computer playing a game.

Lesson 5 – Page No. 587

Share and Show

Question 1.
Patty went to the shopping mall at 11:30 a.m. She shopped for 25 minutes. She spent 40 minutes eating lunch.
Then she met a friend at a movie.
At what time did Patty meet her friend?
_______ : ________

Answer: 12:35 P.M.

Explanation:
The times afternoon and before midnight is written with P.M.
Count (25+40) minutes after 11:30 A.M.
Therefore the time at which Patty met her friend is 11:30 A.M.+1:05 hrs = 12:35 P.M.

Question 2.
What if Patty goes to the mall at 11:30 A.M. and meets a friend at a movie at 1:15 P.M.?
Patty wants to shop and have 45 minutes for lunch before meeting her friend.
How much time can Patty spend shopping?
_______ minutes

Answer: 60 minutes

Explanation:
The times afternoon and before midnight is written with P.M.
Count 45 minutes before 1:15 P.M. (for lunch) which is equal to 12:30 P.M.
Difference between 12:30 P.M. and 11:30 A.M. gives the time spent by Patty in shopping.
STEP 1 Find 12:30 P.M. on the number line. Count on from 12:30 P.M. to 11:30 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 12:30 P.M. to 11:30 A.M. From 12:30 P.M. to 11:30 A.M. is 60 minutes.
So, the time spent on shopping is 60 minutes

Question 3.
Avery got on the bus at 1:10 p.m. The trip took 90 minutes. Then she walked for 32 minutes to get home. At what time did Avery arrive at home?
_______ : ________ P.M.

Answer: 3:12 P.M.

Explanation:
STEP 1 Find 1:10 P.M. on the number line. Count on from 1:10 P.M.
STEP2 Time spent in the trip= 90 minutes
Time Avery walked to get home = 32 minutes
STEP3 Then draw and label the jumps on the number line.
Add the total minutes; 90+32=122 minutes
So the time at which Avery arrive at home is calculated by the cumulative jumps on the number line which is equal to 3:12 P.M.
Question 4.
Kyle and Josh have a total of 64 CDs. Kyle has 12 more CDs than Josh. How many CDs does each boy have?
Josh _______ CDs
Kyle _______ CDs

Answer: Josh has 26 CDs
Kyle has 38 CDs

Explanation:
STEP 1 There are 64 counters. (CDs)
STEP2 Kyle has 12 CDs more than Josh. Place these 12 in a separate group. The leftover number of CDs is 64-12=52
STEP 3 Make 2 group and start placing the counters one after the other in each group until all the 52 counters are grouped
There are 2 groups of 26 counters.
Josh has 26 CDs while Kyle has 26+12 = 38 CDs

Lesson 5 – Page No. 588

Question 5.
Jamal spent 60 minutes using the computer. He spent a half hour of the time playing games and the rest of the time researching his report. How many minutes did Jamal spend researching his report?
_______ minutes

Answer: 30 minutes

Explanation: Jamal has spent half hour=30 minutes playing games and the rest of the time researching for his report.
STEP1 There are 60 counters(minutes).
STEP2 Remove the 30 counters which were used to play games
STEP3 The remaining number of counters in the box is 30
So the time spent on the report =30 minutes

Question 6.
When Caleb got home from school, he worked on his science project for 20 minutes. Then he studied for a test for 30 minutes. He finished at 4:35 p.m. At what time did Caleb get home from school?
_______ : _______ P.M.

Answer: 3:45 P.M

Explanation:
STEP 1 Find the time on the number line when Caleb finished his homework.
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 30+20=50 minutes
Therefore Caleb got home from school at 3:45 P.M.

Question 7.
Miguel played video games each day for a week. On Monday, he scored 83 points. His score went up 5 points each day. On what day did Miguel score 103 points? Explain how you found your answer
_____________

Answer: 5 days

Explanation:
STEP1 Miguel scored 83 points on Monday. His score went up 5 points each day.
STEP2 Add 5n counters to the points to reach 103
STEP3 Adding 5 points 5 times gives us the score to be 103 (83+5*5)
STEP4 Therefore Miguel takes 5 days to score 103 points

Question 8.
When Laura arrived at the library, she spent 40 minutes reading a book. Then she spent 15 minutes reading a magazine. She left the library at 4:15 p.m. Circle the time that makes the sentence true.
Laura arrived at the library at:
_______ : _______ P.M.

Answer: 3:20 P.M.

Explanation:
STEP 1 Find the time on the number line when Laura arrived at the library.
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 40+15=55 minutes
Therefore Laura arrived at the library at 3:20 P.M.

Problem Solving Time Intervals – Page No. 589

Solve each problem. Show your work.

Question 1.
Hannah wants to meet her friends downtown. Before leaving home, she does chores for 60 minutes and eats lunch for 20 minutes. The walk downtown takes 15 minutes. Hannah starts her chores at 11:45 A.M. At what time does she meet her friends?

Answer: 1:20 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Hannah meets her friends.
STEP 2 Count back by fives for the elapsed time of 95 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 1:20 P.M.

Question 2.
Katie practiced the flute for 45 minutes. Then she ate a snack for 15 minutes. Next, she watched television for 30 minutes, until 6:00 P.M. At what time did Katie start practicing the flute?
_______ : ________ (A.M./P.M.)

Answer: 4:30 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 90 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 4:30 P.M.

Question 3.
Nick gets out of school at 2:25 P.M. He has a 15-minute ride home on the bus. Next, he goes on a 30-minute bike ride. Then he spends 55 minutes doing homework. At what time does Nick finish his homework?
_______ : ________ (A.M./P.M.)

Answer: 4:05 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Nick finish his work.
STEP 2 Count back by fives for the elapsed time of 100 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 4:05 P.M.

Question 4.
The third-grade class is going on a field trip by bus to the museum. The bus leaves the school at 9:45 A.M. The bus ride takes 47 minutes. At what time does the bus arrive at the museum?
_______ : ________ (A.M./P.M.)

Answer: 10:32 A.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which the students arrive at the museum.
STEP 2 Count back by fives for the elapsed time of 47 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 10:32 A.M.

Problem Solving Time Intervals – Page No. 590

Lesson Check

Question 1.
Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?
Options:
a. 11:30 A.M.
b. 11:50 A.M.
c. 12:20 P.M.
d. 12:30 P.M.

Answer: c. 12:20 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Gloria finish her lunch.
STEP 2 Count back by fives for the elapsed time of 80 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 12:20 P.M.

Question 2.
The ball game begins at 2:00 P.M. It takes Ying 30 minutes to get to the ballpark. At what time should Ying leave home to get to the game 30 minutes before it starts?
Options:
a. 12:30 P.M.
b. 1:00 P.M.
c. 1:30 P.M.
d. 3:00 P.M.

Answer: b. 1:00 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 60 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 1:00 P.M.

Spiral Review

Question 3.
Which lists the fractions in order from least to greatest?
Options:
a. \(\frac{2}{8}\), \(\frac{2}{4}\), \(\frac{2}{6}\)
b. \(\frac{2}{4}\), \(\frac{2}{8}\), \(\frac{2}{6}\)
c. \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)
d. \(\frac{2}{4}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Answer: c. \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)

Explanation:
When the numerators are the same, think about the  pieces to compare and order fractions. So, the order from least to greatest  is \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)

Question 4.
Find the unknown factor.
6 × ■ = 36
Options:
a. 4
b. 6
c. 7
d. 8

Answer: b. 6

Explanation:
Count how many rows of 36 counters there are.
There are  6 rows of 36 counters. The unknown factor is 6 (c0lumns). n = 6
6× 6 = 36

Question 5.
There were 405 books on the library shelf. Some books were checked out. Now there are 215 books left on the shelf. How many books were checked out?
Options:
a. 620
b. 220
c. 210
d. 190

Answer: d. 190

Explanation:
STEP1 Let there be 405 books in a shelf of Library.
STEP2 Some books were checked out.
STEP3 Number of books left in the shelf are 215.
STEP4 Take a box filled with 405 counters.
STEP5 Place 215 counters in another box from the initial 405 counters.
STEP6 The number of counters left in the first box is equal to the books checked out.
405-215=190

Question 6.
Savannah has 48 photos. She places 8 photos on each page of her photo album. How many pages in the album does she use?
Options:
a. 5
b. 6
c. 7
d. 9

Answer: b. 6

Explanation:
STEP 1 Draw 48 counters.
STEP 2 Make a group of 8 counters by drawing a circle around them. Continue circling groups of 8 until all 48 counters are in groups.
There are 6 groups of 48 counters.

Mid -Chapter Checkpoint – Page No. 591

Vocabulary

Choose the best term from the box.

Question 1.
In one __________, the minute hand moves from one mark to the next on a clock.

Answer: Minute

Explanation: The minute hand moves after every 60 seconds = 1 Minute to the next mark on the clock.

Question 2.
The times afternoon and before midnight are written with __________ .
__________

Answer: P.M.

Explanation:
The times afternoon and before midnight are written with P.M.

Concepts and Skills

Write the time for the activity. Use A.M. or P.M.

Question 3.
play ball

______ : ______ ______ (A.M./P.M.)

Answer: 4:30 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we play ball in the evening, the time is considered to be P.M.

Question 4.
eat breakfast

______ : ______ ______ (A.M./P.M.)

Answer: 7:06 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since we have our breakfast in the morning, the time is considered to be  A.M.

Question 5.
do homework

______ : ______ ______ (A.M./P.M.)

Answer: 5:45 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we do our homework in the evening, the time is considered to be P.M.

Question 6.
sleep

______ : ______ ______ (A.M./P.M.)

Answer: 11:06 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we go to sleep in the night hours, the time is considered to be P.M.

Find the elapsed time.

Question 7.
Start: 10:05 A.M. End: 10:50 A.M.

_______ minutes

Answer: 45 minutes

Explanation:
STEP 1 Find10:05 A.M. on the number line. Count on from 10:05 A.M. to 10:50 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 10:05 A.M. to 10:50 A.M. From 10:05 A.M. to 10:50 A.M. is 45 minutes.
So, the elapsed time is 45 minutes

Question 8.
Start: 5:30 P.M.
End: 5:49 P.M.

_______ minutes

Answer: 19 minutes

Explanation:
STEP 1 Find the starting time on the clock that is 5:30 P.M.
STEP 2 Count the minutes by counting on by fives and ones to 5:49 P.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 19 minutes.

Find the starting time or the ending time.

Question 9.
Elapsed time: 50 minutes
Ending time: 9:05 A.M.

Starting time: ______ : ______ A.M.

Answer: 8:15 A.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 50 minutes
So, the starting time is 8:15 A.M.

Question 10.
Starting time: 2:46 P.M.
Elapsed time: 15 minutes

Ending time: ______ : ______ P.M.

Answer: 3:01 P.M.

Explanation:
STEP 1 Find the ending time on the clock
STEP 2 Count back by fives for the elapsed time of 15 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 3:01 P.M.

Mid -Chapter Checkpoint – Page No. 592

Question 11.
Veronica started walking to school at 7:45 A.M. She 0 arrived at school 23 minutes later. At what time did Veronica arrive at school?
______ : ______ ______

Answer: 8:08 A.M.

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 8:08 A.M.
So, the ending time is 8:08 A.M.

Question 12.
The clock shows the time the art class ends. At what time does it end? If the class started 37 minutes before the time shown, at what time did the class start?

Type below:
____________

Answer: Time at which the class ends= 1:57 P.M.
Time at which the class starts= 1:20 P.M.

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 1:57 P.M.
Read:
Three minutes before two
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 37 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 1:20 P.M.

Question 13.
Matt went to his friend’s house. He arrived at 5:10 P.M. He left at 5:37 P.M. How long was Matt at his friend’s house?
______ minutes

Answer: 27 minutes

Explanation:
STEP 1 Find 5:10 P.M. on the number line. Count on from 5:10 P.M. to 5:37 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 5:10 P.M. to 5:37 P.M. From 5:10 P.M. to 5:37 P.M. is 27 minutes.
So, the elapsed time is 27 minutes

Question 14.
Brenda’s train leaves at 7:30 A.M. She needs to arrive 10 minutes early to buy her ticket. It takes her 20 minutes to get to the train station. At what time should Brenda leave her house?
______ : ______ A.M.

Answer: 7:00 A.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 30 minutes
So, the starting time is 7:00 A.M.

Question 15.
Write the time you get home from school.
Type below:
____________

Answer: 4:00 P.M

Explanation:
The times afternoon and before midnight is written with P.M. Since we get home from school in the evening, the time is considered to be P.M.

Measure Length – Page No. 597

Measure the length to the nearest half inch.

Question 1.

Answer: 1 1/2 inches

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 2.
The mark that is closest to the right end of the glue stick is for one and a half inches.
So, the length of the glue stick to the nearest half-inch is 1 1/2 inches.

Question 2.

______ inches

Answer: 3

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 3.
The mark that is closest to the right end of the glue stick is for three inches.
So, the length of the glue stick to the nearest half-inch is 3 inches.

Question 3.

______ \(\frac{□}{□}\) inches

Answer: 4 1/2 inches

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for4 and 5.
The mark that is closest to the right end of the glue stick is for four and a half  inches.
So, the length of the glue stick to the nearest half-inch is 4 1/2 inches.

Measure the length to the nearest fourth inch.

Question 4.

______ \(\frac{□}{□}\) inches

Answer: 1 1/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and2.
The mark that is closest to the right end of the paper clip is for 1 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 1 1/4 inches.

Question 5.

______ \(\frac{□}{□}\) inches

Answer: 2 3/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the paper clip is for 2 3/4 inches.
So, the length of the paper clip to the nearest fourth inch is 2 3/4 inches.

Question 6.

\(\frac{□}{□}\) inch

Answer: 3/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 0 and1.
The mark that is closest to the right end of the paper clip is for 3/4 inches.
So, the length of the paper clip to the nearest fourth inch is 3/4 inches.

Question 7.

______ inches

Answer: 2 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and2.
The mark that is closest to the right end of the paper clip is for 2 inches.
So, the length of the paper clip to the nearest fourth inch is 2 inches.

Problem Solving

Use a separate sheet of paper for 8.

Question 8.
Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.

Answer:

Explanation:

Question 9.
The tail on Alex’s dog is 5\(\frac{1}{4}\) inches long. This length is between which two inch-marks on a ruler?
Between ______ and ______ inch-marks

Answer: Between 5 and 6 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 5 and 6.
The mark that is closest to the right end of the paper clip is for 5 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 5 1/4 inches.

Measure Length – Page No. 598

Lesson Check

Question 1.
What is the length of the eraser to the nearest half inch?

Options:
a. \(\frac{1}{2}\) inch
b. 1 inch
c. 1 \(\frac{1}{2}\) inch
d. 2 inch

Answer: c. 1 \(\frac{1}{2}\) inch

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 2.
The mark that is closest to the right end of the glue stick is for one and a half inches.
So, the length of the glue stick to the nearest half-inch is 1 1/2 inches.

Question 2.
What is the length of the leaf to the nearest fourth inch?

Options:
a. 1 \(\frac{1}{2}\) inches
b. 1 \(\frac{3}{4}\) inches
c. 2 inches
d. 2 \(\frac{1}{4}\) inches

Answer: c. 2 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and 2.
The mark that is closest to the right end of the paper clip is for 2 inches.
So, the length of the paper clip to the nearest fourth inch is 2 inches.

Spiral Review

Question 3.
Which equation is NOT included in the same set of related facts as 6 × 8 = 48?
Options:
a. 8 × 6 = 48
b. 8 × 8 = 64
c. 48 ÷ 6 = 8
d. 48 × 8 = 6

Answer: b. 8 × 8 = 64

Explanation:
STEP 1 Use 8 tiles to make an array with 6 equal rows.
Draw the rest of the tiles.
There are 8 tiles in each row.
Write a division equation for the array using the total number of tiles as the dividend and the number of rows as the divisor.
48÷ 6= 8
So, 48 ÷ 8 = 6, 8 × 6 = 48,
and 6 ×8  = 48 are related facts.

Question 4.
Brooke says there are 49 days until July 4. There are 7 days in a week. In how many weeks will it be July 4?
Options:
a. 9 weeks
b. 8 weeks
c. 7 weeks
d. 6 weeks

Answer: c. 7 weeks

Explanation:
Draw 1 tile in each of 7 rows.
Continue drawing 1 tile in each of the 7 rows until all 49 tiles are drawn.
Count the number of tiles in each row.
There are 7 tiles in each row.
So, there are 7 weeks till July 4.

Question 5.
It is 20 minutes before 8:00 in the morning. Which is the correct way to write that time?
Options:
a. 7:40 A.M.
b. 7:40 P.M.
c. 8:20 A.M.
d. 8:40 A.M.

Answer: a. 7:40 A.M.

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 7:40 A.M.
Read:
Twenty minutes before eight

Question 6.
Marcy played the piano for 45 minutes. She stopped playing at 4:15 P.M. At what time did she start playing the piano?
Options:
a. 3:00 P.M.
b. 3:30 P.M.
c. 4:45 P.M.
d. 5:00 P.M.

Answer: b. 3:30 P.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 45 minutes
So, the starting time is 3:30 P.M.

Estimate and Measure Liquid Volume – Page No. 603

Estimate how much liquid volume there will be when the container is filled. Write more than 1 liter, about 1 liter, or less than 1 liter.

Question 1.
large milk container

Answer: more than one liter

Explanation:
Pour 1 liter of milk into one of the large containers. Repeat until the container is full. Record the number of liters you poured. This proves that the container can hold more than one liter.

Question 2.
small milk container

____________

Answer: less than one liter

Explanation:
Pour 1 liter of milk into one of the small containers. There is some quantity of milk leftover in the pack of one liter, this proves that the container can hold less than one liter.

Question 3.
water bottle

____________

Answer: about one liter

Explanation:
A water bottle holds about 1 liter.

Question 4.
spoonful of water

____________

Answer: less than one liter

Explanation:
Pour 100 ml of water into a spoon. The excess water flow out, this proves that the spoon can hold less than one liter.

Question 5.
bathtub filled halfway

____________

Answer: more than one liter

Explanation:
Pour 1 liter of water into the bathtub. Repeat until the tub is full. Record the number of liters you poured.This proves that the container can hold more than one liter.

Question 6.
filled eyedropper

____________

Answer: less than one liter

Explanation:
Place the eyedropper in a bottle of the quantity, one liter. The eyedropper picks only few drops of the water, this proves that the eyedropper can hold less than one liter.

Problem Solving

Use the pictures for 7–8. Alan pours water into four glasses that are the same size.

Question 7.
Which glass has the most amount of water?
_______

Answer: Glass D

Explanation:
It can be observed that glass D is almost completely filled. So, glass D most amount of water.

Question 8.
Which glass has the least amount of water?
_______

Answer: Glass A

Explanation:
It can be observed that glass A contains the least amount of water. So, glass A has the least amount of water.

Estimate and Measure Liquid Volume – Page No. 604

Lesson Check

Question 1.
Felicia filled the bathroom sink with water. About how much water does she put in the sink?
Options:
a. about 1 liter
b. more than 1 liter
c. a little less than 1 liter
d. much less than 1 liter

Answer: b. more than 1 liter

Explanation:
Pour one liter of water into the sink. By repeating the same process we can say that, a sink can hold more than one liter of water. Hence it contains more than one liter of water.

Question 2.
Kyle needed about 1 liter of water to fill a container. Which container did Kyle most likely fill?
Options:
a. a small glass
b. a spoon
c. a large pail
d. a vase

Answer: d. a vase

Explanation:
A vase holds about 1 liter while a small glass, a spoon can only hold small quantity of water. A large pail holds water more than one liter.

Spiral Review

Question 3.
Cecil had 6 ice cubes. He put 1 ice cube in each glass. In how many glasses did Cecil put ice cubes?
Options:
a. 6
b. 5
c. 1
d. 0

Answer: a. 6

Explanation:
If there is the same number of ice cubes and glasses, then 1 ice cube goes in each glass. Since each ice cube is to be placed in each glass.
6÷ 1 = 6
Number of glasses=6

Question 4.
Juan has 12 muffins. He puts \(\frac{1}{4}\) of the muffins in a bag. How many muffins does Juan put in the bag?

Options:
a. 2
b. 3
c. 4
d. 5

Answer: b. 3

Explanation:
Put 12 counters(muffins) on the table.
Since you want to find 1/4 of the group, there should be equal groups of muffins.
Circle one of the groups to show 1/4th part of muffins.Then count the number of counters in that group.
There are 3 counters in 1 group. 1/4 of 12 = 3
So,  Juan has put 3 muffins in his bag.

Question 5.
Which is one way to read the time shown on the clock?

Options:
a. 4 minutes before 7
b. 26 minutes before 11
c. 54 minutes after 6
d. 56 minutes after 7

Answer: a. 4 minutes before 7

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 6:56
Read:
four minutes before seven

Question 6.
Julianne drew the line segment below. Use your ruler to measure the segment to the nearest fourth inch.

Options:
a. \(\frac{3}{4}\) inch
b. 1 \(\frac{1}{4}\) inches
c. 1 \(\frac{1}{2}\) inches
d. 1 \(\frac{3}{4}\) inches

Answer: d. 1 \(\frac{3}{4}\) inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and2.
The mark that is closest to the right end of the paper clip is for 1 \(\frac{3}{4}\) inches.
So, the length of the paper clip to the nearest fourth inch is 1 \(\frac{3}{4}\) inches.

Estimate and Measure Liquid Volume – Page No. 609

Choose the unit you would use to measure the mass. Write gram or kilogram.

Question 1.
CD

gram

Answer: Gram

Explanation:
The gram (g) is the basic metric unit for measuring mass or the amount of matter in an object. Mass can also be measured by using the metric unit kilogram (kg).
A small CD has a mass measured in grams.

Question 2.
boy

________

Answer: Kilogram

Explanation:
A boy’s mass must be measured in kilograms, the metric unit. Since gram is the basic unit of mass and this measuring mass is used to measure small items such as CDs, paper pins, ice cream sticks etc.

Question 3.
bag of sugar

________

Answer: Kilogram

Explanation:
A bag contains more than or equal to 1000 grams of measuring mass.
1000grams=1kilogram
Hence we can say that the sugar is measured in kilograms.

Question 4.
lion

________

Answer: Kilogram

Explanation: Lion is a huge animal with muscles and hard bones. Hence, Lion is measured in kilograms.

Question 5.
paper clip

________

Answer: Gram

Explanation:
A paper clip is light measured clip its mass is about 1 gram.

Question 6.
empty plastic bottle

________

Answer: Gram

Explanation:
The amount of water in the bottle justifies the mass/volume of the bottle. Since the bottle is empty it is only measured in grams.

Compare the masses of the objects. Write is less than,
is the same as, or is more than.

Question 7.

The mass of the candle ________ the mass of the light bulb.

Answer: is more than

Explanation:
Both candle and bulb measure in grams comparatively candle seems to have more mass than bulb.
Therefore we can say that mass of candle is more than a mass of bulb.

Question 8.

The mass of the watch ________ the mass of the necklace.

Answer: is the same as

Explanation:
Both the watch and the necklace seem to have same amount of mass in grams.

Problem Solving

Question 9.
A red ball has a mass that is less than 1 kilogram. A blue ball has a mass of 1 kilogram. Is the mass of the blue ball more than or less than the mass of the red ball?
The mass of the blue ball is ________ the mass of the red ball

Answer: more than

Explanation:
Blue ball has a mass of 1 kilogram which more than that of the red ball because it has a mass less than 1 kilogram.

Question 10.
Brock’s dog is a collie. To find the mass of his dog, should Brock use grams or kilograms?
__________

Answer: kilograms

Explanation:

Estimate and Measure Liquid Volume – Page No. 610

Lesson Check

Question 1.
Which unit of measure would you use to measure the mass of a grape?
Options:
a. gram
b. inch
c. kilogram
d. meter

Answer: a. gram

Explanation:
A bunch of grapes are measured in kilograms while a single grape is measured in grams.

Question 2.
Elsie wants to find the mass of her pony. Which unit should she use?
Options:
a. gram
b. liter
c. kilogram
d. centimeter

Answer: c. kilogram

Explanation:
The mass of the pony is calculated in kilogram because the cluster of grams is called as kilogram.

Spiral Review

Question 3.
Marsie blew up 24 balloons. She tied the balloons together in groups of 4. How many groups did Marsie make?
Options:
a. 5
b. 6
c. 7
d. 8

Answer: b. 6

Explanation:
STEP 1 Let 24 counters be ballons.
STEP 2 Make a group of 4 counters tied together into a group. Continue making groups of 4 until all 24 counters are in groups.
There are 6 groups of 24 counters.

Question 4.
Clark used the order of operations to find the unknown number in 15 − 12 ÷ 3 = n. What is the value of the unknown number?
Options:
a. 1
b. 6
c. 9
d. 11

Answer: d. 11

Explanation:
STEP 1 Let there be 12 counters in a box.
STEP 2 Make a group of 3 counters by drawing a circle around them. Continue circling groups of 3 until all 12 counters are in groups.
There are 4 groups of 12 counters.
STEP3 There are 15 counters in a box
STEP4 Remove 4 counters from the box, then only 11 counters are left in the box.

Use the pictures for 5–6. Ralph pours juice into four bottles that are the same size.

Question 5.
Which bottle has the most amount of juice?
Options:
a. Bottle A
b. Bottle B
c. Bottle C
d. Bottle D

Answer: a. Bottle A

Explanation:
Comparatively in all the four bottles bottle A is almost completely filled. Therefore bottle A has the most amount of juice.

Question 6.
Which bottle has the least amount of juice?
Options:
a. Bottle A
b. Bottle B
c. Bottle C
d. Bottle D

Answer: d. Bottle D

Explanation:
Comparatively in all the four bottles bottle D has the least amount of juice. Therefore bottle A has the least amount of juice.

Solve Problems About Liquid Volume and Mass – Page No. 615

Write an equation and solve the problem.

Question 1.
Luis was served 145 grams of meat and 217 grams of vegetables at a meal. What was the total mass of the meat and the vegetables?
Think: Add to find how much in all.
145 + 217 = _______ grams

Answer: 145 + 217 = 362 grams

Explanation:
STEP 1 Place 145 grams mass of meat.
STEP 2 Place 217 grams mass of vegetables at a meal .
STEP 3 To find the total mass of the meat and the vegetables is 362 grams.
So, the total mass of the meat and the vegetables is 362 grams.

Question 2.
The gas tank of a riding mower holds 5 liters of gas. How many 5-liter gas tanks can you fill from a full 20-liter gas can?
_______ ÷ _______ = _______ 5-liter gas tanks

Answer: 20 ÷ 5 = 4 gas tanks

Explanation:
STEP1 A single gas tank of a riding mower holds 5 liters of gas.
STEP2 Quantity of gas given to fill in the tanks is 20 liters.
STEP3 To calculate the number of tanks, we should make groups of 5 liters of gas such that the total quantity of 20 liters is completed
STEP4 The number of gas tanks is the number of counters in which the 20 liter of gas is filled.
Therefore the number of tanks are 4

Question 3.
To make a lemon-lime drink, Mac mixed 4 liters of lemonade with 2 liters of limeade. How much lemon-lime drink did Mac make?
_______ + _______ = _______ liters lemon-lime

Answer: 4 + 2 = 6 liters

Explanation:
STEP 1 Place 4 liters of lemonade for preparing the lemon-lime drink.
STEP 2 Place 2 liters of limeade for preparing the lemon-lime drink.
STEP 3Mass of lemon-lime drink made by Mac is 4+2=6 liters.
So, the total mass of the lemon-lime drink made is 6 liters.

Question 4.
A nickel has a mass of 5 grams. There are 40 nickels in a roll of nickels. What is the mass of a roll of nickels?
_______ × _______ = _______grams

Answer: 5 × 40 = 200 grams

Explanation:
STEP1 Given that there are 40 nickels in a roll of nickels.
STEP2 Each nickel has a mass of 5 grams.
STEP3 Place the counters(nickels) in rows.
STEP4 Find the mass of a roll of nickels.
STEP5 Mass of a roll of nickels=5×40
STEP6 Place 5 boxes each containing 40 counters. Add the counters in the boxes, total number of counters is equal to 200.

Question 5.
Four families share a basket of 16 kilograms of apples equally. How many kilograms of apples does each family get?
_______ ÷ _______ = _______ kilograms

Answer: 20 ÷ 5 = 4

Explanation:
STEP1 Total number of apples =16
STEP2 Number of families =4
STEP3 Number of apples each family shared=16÷4
=4 apples

Question 6.
For a party, Julia made 12 liters of fruit punch. There were 3 liters of fruit punch left after the party. How much fruit punch did the people drink at the party?
_______ – _______ = _______ liters

Answer: 12 – 3 = 9 liters

Explanation:
STEP1 Quantity of fruit punch made by Julia=12 liters
STEP2 Quantity of fruit punch left after the party=3 liters
STEP3 Quantity of fruit punch the people drank in the party=12-3 = 9 liters

Problem Solving

Question 7.
Zoe’s fish tank holds 27 liters of water. She uses a 3-liter container to fill the tank. How many times does she have to fill the 3-liter container in order to fill her fish tank?
_______ times

Answer: 9 times

Explanation:
STEP1 Quantity of water Zoe’s fish tank holds=27 liters
STEP2  Zoe has a 3-liter container to fill the tank.
STEP3 Total number of times  she has to fill the 3-liter container in order to fill her fish tank=27÷3=9 times

Question 8.
Adrian’s backpack has a mass of 15 kilograms. Theresa’s backpack has a mass of 8 kilograms. What is the total mass of both backpacks?
15 + 8 = _______ kilograms

Answer: 23 kilograms

Explanation:
STEP1 Mass of Adrian’s backpack = 15 kilograms
STEP2 Mass of Theresa’s backpack= 8 kilograms
STEP3  Total mass of both backpacks=15+8=23 kilograms

Solve Problems About Liquid Volume and Mass – Page No. 616

Lesson Check

Question 1.
Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combined mass of the two dogs?
Options:
a. 2 kilograms
b. 18 kilograms
c. 23 kilograms
d. 28 kilograms

Answer: d. 28 kilograms

Explanation:
Mickey has 2 dogs beagle and dachshund
STEP1 Mass of Beagle=15 kilograms
STEP2 Mass of dachshund= 13 kilograms
STEP3 Combined mass of the two dogs= 15+13=28 kilograms

Question 2.
Lois put 8 liters of water in a bucket for her pony. At the end of the day, there were 2 liters of water left. How much water did the pony drink?
Options:
a. 4 liters
b. 6 liters
c. 10 liters
d. 16 liters

Answer: b. 6 liters

Explanation:
STEP1 Quantity of the water put in the bucket by Lois=8 liters
STEP2 Quantity of the water left in the bucket=2 liters
STEP3 Quantity of the water drank by pony= 8-2 = 6 liters

Spiral Review

Question 3.
Josiah has 3 packs of toy animals. Each pack has the same number of animals. Josiah gives 6 animals to his sister Stephanie. Then Josiah has 9 animals left. How many animals were in each pack?
Options:
a. 1
b. 3
c. 5
d. 6

Answer: c. 5

Explanation:
STEP1 Number of packs Josiah has =3
STEP2 Number of animals given by Josiah to his sister =6
STEP3 Total number of animals = 6+9=15
According to the problem,
Each pack has the same number of animals.
3× ■ = 15
Count how many rows of 15 counters there are. There are  3 rows of 15 counters. The unknown factor is 5 (c0lumns). n = 5
3 × 5 = 15

Question 4.
Tom jogged \(\frac{3}{10}\) mile, Betsy jogged \(\frac{5}{10}\) mile, and Sue jogged \(\frac{2}{10}\) mile. Who jogged a longer distance than \(\frac{4}{10}\) mile?
Options:
a. Betsy
b. Sue
c. Tom
d. None

Answer: a. Betsy

Explanation:
When the numerators are the same, think about the of the pieces to compare and order fractions. So, the order from greatest to least gives, the greatest fraction and the person who jogged a longer distance than \(\frac{4}{10}\) mile.
\(\frac{5}{10}\)>\(\frac{3}{10}\)>\(\frac{2}{10}\)
Therefore Betsy jogged a longer distance than \(\frac{4}{10}\) mile.

Question 5.
Bob started mowing at 9:55 A.M. It took him 25 minutes to mow the front yard and 45 minutes to mow the back yard. At what time did Bob finish mowing?
Options:
a. 10:20 A.M.
b. 10:55 A.M.
c. 11:05 A.M.
d. 11:20 A.M.

Answer: c. 11:05 A.M.

Explanation:
STEP1 Time Bob spent in mowing=25+45=70 minutes
STEP2 Finding the time at which Bob finished mowing
STEP3 Find the ending time on the number line.
STEP4 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP5 Write the times below the number line.
The jumps end at 11:05 A.M.
So, the ending time is 11:05 A.M.

Question 6.
Juliana wants to find the mass of a watermelon. Which unit should she use?
Options:
a. gram
b. kilogram
c. liter
d. meter

Answer: b. kilogram

Explanation:
Mass is measured in grams and kilograms small quantities like paper clips, pins are measured in grams while large quantities are measured in kilograms. Therefore watermelon is measured in kilogram.

Review/Test – Page No. 617

Question 1.
Yul and Sarah’s art class started at 11:25 a.m. The class lasted 30 minutes. Yul left when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left.
Write the time that each student left. Explain how you found each time.
Yul: _______ A.M.
Sarah: ______ P.M.

Answer: Yul: 11:55 A.M.
Sarah: 12:05 P.M.

Explanation:
Yul:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time, 30 minutes. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 11:55 A.M.
So, the ending time is 11:55 A.M.
Sarah:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time, 30+5=35 minutes. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at  12:05 P.M.
So, the starting time is 12:05 P.M.

Question 2.
Julio measured an object that he found. It was about 3/4 inch wide.
For numbers 2a–2d, choose Yes or No to tell whether the object could be the one Julio measured.
a.
i. yes
ii. no

Answer: ii. no

Question 2.
b.
i. yes
ii. no

Answer: i. yes

Explanation:
The mark that is closest to the right end of the stamp is for 1 inch. So, the length of the stamp to the nearest fourth inch is 3/4 inches. Therefore the stamp is about 3/4 inch wide.

Question 2.
c.
i. yes
ii. no

Answer: ii. no

Question 2.
d.
i. yes
ii. no

Answer: ii. no

Review/Test – Page No. 618

Question 3.
Dina started swimming at 3:38 p.m. She swam until 4:15 p.m. How long did Dina swim?
________ minutes

Answer: 37 minutes

Explanation:
STEP 1 Find 3:38 P.M. on the number line. Count on from 3:38 P.M. to 4:15 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 3:38 P.M. to 4:15 p.M. From 3:38 P.M. to 4:15 P.M. is 37 minutes.
So, the elapsed time is 37 minutes

Question 4.
Rita’s class begins social studies at ten minutes before one in the afternoon. At what time does Rita’s class begin social studies? Circle a time that makes the sentence true.
Rita’s class begins social studies at
__________

Answer: 12:50 P.M.

Explanation:
Rita’s class begins social studies at ten minutes before one in the afternoon. So, the time at which the class begins is 10 minutes subtracted from 1:00 P.M. is 12:50 P.M.

Question 5.
Select the objects with a mass greater than 1 kilogram.
Mark all that apply.
Options:
a. bicycle
b. pen
c. eraser
d. math book

Answer: a. bicycle, has a mass greater than 1 kilogram.

Explanation:
Mass is measured in grams and kilograms small quantities like paper clips, pins are measured in grams while large quantities are measured in kilograms. Therefore mass of bicycle is measured in kilograms.

Question 6.
A chicken dish needs to bake in the oven for 35 minutes. The dish needs to cool for at least 8 minutes before serving. Scott puts the chicken dish in the oven at 5:14 p.m. For numbers 6a–6d, select True or False for each statement.
a. Scott can serve the dish at 5:51 p.m.
i. True
ii. False

Answer: ii. False

Question 6.
b. Scott can serve the dish at 5:58 p.m.
i. True
ii. False

Answer: ii. False

Question 6.
c. Scott should take the dish out of the oven at 5:51 a.m
i. True
ii. False

Answer: ii. False

Question 6.
d. Scott should take the dish out of the oven at 5:49 p.m.
i. True
ii. False

Answer: i. True

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time, 35 minutes ie. the time when the dish is kept in the oven to bake. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 5:49 P.M.
So, the ending time is 5:49 P.M.

Review/Test – Page No. 619

Question 7.
Anthony’s family went out to dinner. They left at the time shown on the clock. They returned home at 6:52 p.m.

Part A
How long was Anthony’s family gone?
_____ hour _____ minutes
_____ hour _____ minutes

Answer: 5 hours 05 minutes
6 hours 52 minutes

Explanation:
Anthony’s family left for dinner at 5 hours 05 minutes
Anthony’s family returned back home at 6 hours 52 minutes

Question 7.
Part B
Explain how you found your answer.
Type below:
__________

Answer: 107 minutes

Explanation:
STEP 1 Find 5:05 P.M. on the number line. Count on from 5:05 P.M. to 6:52 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 5:05 P.M. to 6:52 p.M. From 5:05 P.M. to 6:52 P.M. is 107 minutes.
So, the elapsed time is 107 minutes

Question 8.
Tran checked the time on his watch after he finished his daily run.

Select the time that Tran finished running. Mark all that apply.
Options:
a. 14 minutes before nine
b. eight forty-six
c. quarter to nine
d. nine forty-six

Answer: a. 14 minutes before nine
b. eight forty-six

Explanation:
a. Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
b. Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 8 Hour 46 minutes

Question 9.
Cara uses a balance scale to compare mass.

Circle a symbol that makes the comparison true.
The mass of the blocks img 73 the mass of the erasers.
________

Answer: mass of the blocks>mass of the erasers

Explanation:
Mass of the blocks is measured in kilograms while mass of the erasers is measured in grams.

Review/Test – Page No. 620

Question 10.
A large bottle of water holds about 2 liters. For numbers 10a–10e, choose Yes or No to tell whether the container will hold all of the water.
a. kitchen sink
i. yes
ii. no

Answer: i. yes

Explanation: A kitchen sink can hold about 2 liters. Due to the larger surface area, the kitchen sink can hold about 2 liters.

Question 10.
b. water glass
i. yes
ii. no

Answer: ii. no

Question 10.
c. ice cube tray
i. yes
ii. no

Answer: ii. no

Question 10.
d. large soup pot
i. yes
ii. no

Answer: ii. no

Question 10.
e. lunchbox thermos
i. yes
ii. no

Answer: i. yes

Explanation: Lunchbox thermos can hold about only 2 liters due to its surface area, and height.

Question 11.
Select the items that would be best measured in grams.
Mark all that apply.
Options:
a. watermelon
b. lettuce leaf
c. grape
d. onion

Answer: b. lettuce leaf
c. grape

Explanation: A single leaf is measured in grams.
Mass of a single grape is measured in grams.

Question 12.
Samir made a list of what he did on Tuesday. Write the letter for each activity next to the time he did it.

A. Get out of bed.	8:05 a.m.(b)
B. Walk to school.	6:25 p.m.(e)
C. Eat lunch.	3:50 p.m.(d)
D. Go to guitar lesson after school.	11:48 a.m.(c)
E. Eat dinner at home.	6:25 a.m.(a)

Explanation:
The times after midnight and before noon is written with A.M. The times afternoon and before midnight is written with P.M.Samir gets out of the bed at 6:25 a.m. in the morning and walk to school by 8:05 a.m. in the morning. Samir finishes his lunch in the school by 11:48 a.m. After school hours Samir goes to guitar lessons at 3:50 p.m. After attending his classes Samir at 6:25 p.m. eats his dinner at home.

Review/Test – Page No. 621

Question 13.
Amy has 30 grams of flour. She puts 4 grams of flour in each pot of chowder that she makes. She puts 5 grams of flour in each pot of potato soup that she makes. She makes 4 pots of chowder. Does Amy have enough flour left over to make 3 pots of potato soup?
______

Answer: No

Explanation:
Mass of flour Amy has= 30grams
Mass of flour in each pot of chowder= 4grams
Mass of flour in each pot of potato soup= 5grams
According to the problem,
Amy makes 4 pots of chowder.
Mass of flour used to make 4 pots of chowder= 4×4= 16grams
Leftover mass of flour=30-16=14 grams
Mass of flour used to make 3 pots of potato soup=5×3=15 grams
But, Amy only has 14 grams. So, we can say that Amy doesn’t have enough flour leftover to make 3 pots of potato soup.

Question 14.
Use an inch ruler to measure.

Part A
What is the length of the leaf to the nearest fourth inch?
Type below:
__________

Answer: 2 1/4 inches

Explanation:
Line up the left end of the leaf with the zero mark on the ruler.
The right end of the leaf is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the leaf is for 1/4 inches.
So, the length of the leaf to the nearest fourth inch is 2 1/4 inches.

Question 14.
Part B
Explain what happens if you line up the left side of the object with the 1 on the ruler.
Type below:
__________

Answer: 1 1/4

Explanation:
Line up the left end of the object with the one mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the paper clip is for 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 1 1/4 inches.

Question 15.
Mrs. Park takes the 9:38 a.m. train to the city. The trip takes 3 hours and 20 minutes. What time does Mrs. Park arrive in the city?
______ : _______ _______

Answer: 12:58 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Mrs. Park arrive in the city.
STEP 2 Count forward by hours and then by fives for the elapsed time of 3 hours 20 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 12:58 P.M.

Question 16.
Hector buys two bags of gravel for his driveway. He buys a total of 35 kilograms of gravel. Select the bags he buys.

Answer: 17 kg and 18 kg

Explanation:
Hector buys two bags of gravel for his delivery.
Hector buys a total of 35 kilograms of gravel.
According to the problem,
The bags selected by Hector are 17 kg and 18 kg because 17+18=35 kg

Review/Test – Page No. 622

Question 17.
Ashley measures the shells she collects. She records the measurements in a chart.

Part A
Ashley found a razor clam shell this long. Use an inch ruler to measure. Record the measurement in the chart.

_____ \(\frac{□}{□}\) inches

Answer: 4 inches

Question 17.
Part B
Complete the line plot to show the data in the chart. How many shells are longer than 2 inches? Tell how you know.

_______ shells

Answer: 4

Explanation:
Calculate the number of shells which are longer than 2 inches.
By observing the number line we find 2. From 2 draw curves to the next values in such a way that the other values are greater than 2.
We need to draw the curves till 4.
Count the curves drawn from 2 to 4 the number of curves=number of shells (which are measured to the nearest half-inch)=4

Question 18.
Lucy fills a bathroom sink with water. Is the amount of water more than 1 liter, about 1 liter, or less than 1 liter?
Explain how you know.
________

Answer: More than one liter

Explanation:
Volume is measured in milliliters and liters. Small quantities like syrup, water in glass etc. are measured in milliliters while the volume of water in the bathroom sink, oil can are measured in liters. Therefore, the bathroom sink with water can hold more than one liter of water.

Summary

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