Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy

We included HMH Into Math Grade 4 Answer Key PDF Module 8 Lesson 6 Choose a Multiplication Strategy to make students experts in learning maths.

 

I Can fluently multiply two 2-digit numbers using the method of my choice.

Step It Out

1. Most professional soccer matches require 14 soccer balls. The traditional soccer ball has 32 panels, each representing one country in Europe. How can you multiply using partial products to find out how many panels are on 14 traditional soccer balls?
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 1
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 2
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Answer:

Given,

Most professional soccer matches require 14 soccer balls.

The traditional soccer ball has 32 panels, each representing one country in Europe.

Estimation :

32 is near to 30

14 is near to 15

So, 32 x 14 = 30 x 15 = 450

Therefore, the total number of panels approximately equals 450.

Actual :

So, total Number of panels = number of soccer balls x number of panels

the total number of panels = 32 x 14 =

Therefore, the total panels are on 14 traditional soccer balls are 448.

Yes. the answer is reasonable because the actual answer is approximately equal to the estimated product.

 

Turn and Talk How can you use the Distributive Property to solve the problem?

Step It Out

2. At the beginning of each season, the National Basketball Association sends each of the 29 American teams 72 basketballs. How can you multiply with regrouping to find out how many basketballs are sent?
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 3
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 4
D. How do you know if your answer is reasonable?
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Answer:

Given,

At the beginning of each season, the National Basketball Association sends each of the 29 American teams 72 basketballs.

Estimation :

total basketballs sent = number of teams x number of basket balls

total basketballs sent = 29 x 72

29 is near to 30

72 is near to 70

So, 29 x 72 = 30 x 70 = 2100

Therefore, total basketball sent are approximately equals 2100.

Actual:

total basketballs sent = number of teams x number of basket balls

total basketballs sent = 29 x 72 =

Therefore, total basketballs sent are 2,088

Yes, the answer is reasonable because the actual answer is approximately equal to the estimated product.

 

Check Understanding Math Board

Question 1.
For each Championship Bowl, 76 footballs are used. How many footballs have been used in 52 Championship Bowls?
________________________
Answer:

Given,

For each Championship Bowl, 76 footballs are used.

There are 52 champion bowls.

So, total footballs = number of footballs x number of championship bowls.

total footballs = 52 x 76 =

Therefore, total footballs are 3,952.

 

Estimate. Then choose a method to find the product.

Question 2.
Estimate: ___
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 5
Answer:

37 is near to 40

26 is near to 30

So, 37 x 26 = 40 x 30 = 1200

Therefore, 37 x 26 approximately equals 1,200.

Actual product =  37 x 26 =

Therefore, value of 37 x 26 = 962.

 

Question 3.
Estimate: ____
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 6
Answer:

82 is near to 80

49 is near to 50

So, 82 x 49 = 80 x 50 = 4000

Therefore, 82 x 49 approximately equals 4,000.

Actual product =  82 x 49 =

Therefore, value of 82 x 49 is 4,018.

 

Question 4.
Estimate: ____
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 7
Answer:

91 is near to 90

77 is near to 80

So, 91 x 77 = 90 x 80 = 7200

Therefore, 91 x 77 approximately equals 7,200.

Actual product =  91 x 77 =

Therefore, value of 91 x 77 is 7,007.

 

On Your Own

Question 5.
Model with Mathematics A bag of frozen strawberries contains 91 strawberries. How many strawberries are in 76 bags?
A. Use partial products to find the product.
76 × 91 = ___

Answer:

76 x 91 = ( 90 x 70 ) + ( 90 x 6 ) + ( 1 x 70 ) + ( 1 x 6 )

= 6300 + 540 + 70 + 6 = 6,916

B. Draw a picture to check your work.
Answer:

Therefore, value of 76 x 91 is 6,916.

 

Estimate. Then choose a method to find the product.

Question 6.
Estimate : ___
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 8
Answer:

43 is near to 40

35 is near to 40

So, 43 x 35 = 40 x 40 = 1,600

Therefore, 43 x 35 approximately equals 1,600.

Actual product =  43 x 35 =

Therefore, value of 43 x 35 is 1,505.

 

Question 7.
Estimate: ___
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 9
Answer:

59 is near to 60

18 is near to 20

So, 59 x 18 = 60 x 20 = 1,200

Therefore, 59 x 18 approximately equals 1,200.

Actual product =  59 x 18 =

Therefore, value of 59 x 18 is 1,062.

 

Question 8.
Estimate: ____
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 10
Answer:

86 is near to 90

72 is near to 70

So, 86 x 72 = 90 x 70 = 6,300

Therefore, 86 x 72 approximately equals 6,300.

Actual product =  86 x 72 =

Therefore, value of 86 x 72 is 6,192.

 

Question 9.
Josie picks 13 berries from each of 23 blueberry bushes. How many berries does she pick?
Answer:

Given.

Josie picks 13 berries from each of 23 blueberry bushes.

So, total berries = number of berries x number of blueberry bushes

total berries = 13 x 23 =

Therefore, she picked 299 total berries.

 

Question 10.
Use Repeated Reasoning Why is the second partial product greater than the first partial product when you multiply two 2-digit numbers with regrouping?
Answer:

The second partial product is greater than the first partial product when you multiply two 2-digit numbers with regrouping because, now we are multiplying a number with a value in its tens place, when before we were multiplying a number with only a value in the one’s place.

 

On Your Own

Question 11.
Construct Arguments A scientific calculator has 54 keys. There are 68 of that type of scientific calculator in the resource room. Gina wondered how many keys that is.

  • Use partial products to find the product.
    54 × 68 = ____
  • Use the Distributive Property to check your work.

Answer:

54 x 68 = ( 60 x 50 ) + ( 60 x 4 ) + ( 8 x 50 ) + ( 8 x 4 )

= 3000 + 240 + 400 + 32 = 3,672.

The product value is same i.e., 54 x 68 = 68 x 54 . Hence, distributive property is verified.

 

Question 12.
Reason An order was placed for new flags for the color guard. The flags cost $34 each. If the color guard director pays for 16 flags with six $100 bills, how much change will the director receive? How did you find the answer?
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 11
Answer:

Answer:

An order was placed for new flags for the color guard. The flags cost $34 each. The colors guard director pays for 16 flags with six $100 bills.

Tota cost = number of flags x cost of each flag

total cost = $34 x 16 =

Total paid = 6 x $100 = $600

So, balance = 600 – 544 = $56

Therefore, director receive $56 change.

 

Find the unknown digits. Complete the problem.

Question 13.
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 12
Answer:

 

Question 14.
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 13
Answer:

 

Question 15.
HMH Into Math Grade 4 Module 8 Lesson 6 Answer Key Choose a Multiplication Strategy 14
Answer:

 

Question 16.
Construct Arguments How do you know which of the following costs more, 38 sweaters at $49 each or 48 pairs of jeans at $39 each? _____
Answer:

Given,

38 sweaters at $49 each

So, cost = 38 x 49 =

38 x $49 = $1,862

48 pairs of jeans at $39

So, cost = 48 x 39 =

48 x $39 = $1,872

So, $1,872 > $1,862

Therefore, 48 pairs of jeans at $39 each cost more than 38 sweaters at $49 each.

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