All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 6 Model Regrouping will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 4 Lesson 6 Model Regrouping
Build It
Sometimes you need to regroup to multiply numbers. Regrouping uses place value to exchange equal amounts when renaming a number.
Find 3 x 26.
1. Use base-ten blocks to model 3 × 26.
2. Find the ones.
There are 18 ones. Regroup as 1 ten and 8 ones. Write an 8 in the ones place.
2. Find the tens.
Count the number of tens. Complete the place-value chart.
3. Find the tens.
Count the number of tens.
Complete the place-value chart.
So, 3 × 26 = ____
Answer:
Given that,
3 x 26
Multiplication of 3 with 26 then you get 78.
So, 3 x 26 = 78.
Try It
Find 4 × 31.
1. Use base-ten blocks to model 4 × 31, Find the ones. Count the ones. There are ___ ones.
2. Find the tens. There are 12 tens.
Regroup as 1 hundred and ____ tens.
3. Find the hundreds. Count the number of hundreds.
There is ____ hundred. Complete the place-value chart.
So, 4 × 31 = ____
Answer:
Given that
4 x 31.
There are 4 ones.
Regroup as 1 hundred and 2 tens.
There is 1hundred.
So, 4 x 31 = 124.
Talk About It
Question 1.
How would you model 2 × 38?
Answer:
To model the 2 x 38 we use the regrouping
Regrouping of 2 x 38 is
So, 2 x 38 = 76.
Question 2.
Mathematical PRACTICE 1 Make a Plan How would you model 4 × 52?
Answer:
To model the 4 x 52 we use the regrouping
Regrouping of 4 x 52 is
Each long block = 10.
Small blocks = 1.
so, 4 x 52 = 208
Practice It
Multiply. Use models.
Question 3.
2 × 17 = ___
Answer:
Multiplication of 2 with 17 then you get 34.
2 x 17 = 34.
Question 4.
4 × 32 = ____
Answer:
Multiplication of 4 with 32 then you get 128.
4 x 32 = 128.
Question 5.
3 × 44 = ___
Answer:
Multiplication of 3 with 44 then you get 132.
3 x 44 = 132.
Question 6.
4 × 54 = ___
Answer:
Multiplication of 4 with 54 then you get 216.
4 x 54 = 216.
Question 7.
3 × 28 = ___
Answer:
Multiplication of 3 with 28 then you get 84.
3 x 28 = 84.
Question 8.
4 × 63 = ___
Answer:
Multiplication of 4 with 63 then you get 252.
4 x 63 = 252.
Question 9.
2 × 48 = ____
Answer:
Multiplication of 2 with 48 then you get 96.
2 x 48 = 96.
Question 10.
6 × 24 = ____
Answer:
Multiplication of 6 with 24 then you get 144.
6 x 24 = 144.
Question 11.
4 × 38 = ____
Answer:
Multiplication of 4 with 38 then you get 152.
4 x 38 = 152
Question 12.
5 × 27 = ____
Answer:
Multiplication of 5 with 27 then you get 135.
5 x 27 = 135.
Apply It
Question 13.
Willow is shopping for a soccer ball. How many soccer balls n, are on the display?
n = ___ × ____
There are _____ balls on the display.
Answer:
The number of row = 4.
Number of columns = 3.
Number of balls are 4 x 3 = 12.
Therefore number of balls are 12.
There are 12 balls on the display.
Question 14.
Suppose there are 6 displays in the store. How many soccer balls n, are there in all?
n = ____ × _____
There are ____ balls on 6 displays.
Answer:
Number of soccer balls are 12.
There are 6 displays in the store.
n = 6 x 12.
There are 12 balls on 6 displays.
Question 15.
Mathematical PRACTICE 2 Use Algebra Each crate has 35 soccer balls. How many soccer balls n, are there in 4 crates?
n = ____ × _____
There are ____ balls in 4 crates.
Answer:
Given that,
Each crate has 35 soccer balls.
There are 4 crates.
Number of soccer balls in 4 crates are 35 x 4 is 140.
There are 140 balls in 4 crates.
Question 16.
Mathematical PRACTICE 2 Reason Describe what would happen if you changed the number of balls on the display. How would that change the number of balls on 6 displays?
Answer:
If you change the number of balls on the display. The number balls will change on 6 displays.
Write About It
Question 17.
How is regrouping for addition similar to regrouping for multiplication?
Answer:
When regrouping in addition the sum of two digits in place value column is greater than nine.
In regrouping for multiplication When the product of multiplication is 10 or greater than 10 we need to use the next higher place value to represents the product value.
McGraw Hill My Math Grade 4 Chapter 4 Lesson 6 My Homework Answer Key
Practice
Question 1.
Multiply. Draw models if needed. 2 × 46 = ____
Answer:
Multiplication of 2 with 46 then you get 92.
2 × 46 = 92.
Multiply. Draw models if needed.
Question 2.
3 × 38 = ____
Answer:
Multiplication of 3 with 38 then you get 114.
3 × 38 = 114.
Question 3.
4 × 46 = ____
Answer:
Multiplication of 4 with 46 then you get 184.
4 x 46 = 184.
Question 4.
5 × 23 = ____
Answer:
Multiplication of 5 with 23 then you get 115.
5 x 23 = 115.
Question 5.
6 × 37 = ____
Answer:
Multiplication of 6 with 37 then you get 222.
6 × 37 = 222.
Problem Solving
Question 6.
Mathematical PRACTICE 2 Use Algebra Marissa is doing the laundry. She folds 16 items of clothing for each member of her family. There are 6 people in Marissa’s family. How many items of clothing does she fold?
Answer:
Given that,
She folds 16 items of clothing for each member of her family.
There are 6 people in Marissa’s family.
So, 16 x 6 = 96.
Therefore there are 96 items of clothing does she fold.
Question 7.
Ben and his dad sold 9 dozen sunflowers at the farmer’s market. There were 12 flowers in one dozen. What is the total number of sunflowers Ben and his dad sold?
Answer:
Given that,
Ben and his dad sold 9 dozen sunflowers at the farmer’s market.
There were 12 flowers in one dozen.
So, 9 x 12 = 108.
Therefore the total number of sunflowers Ben and his dad sold is 108.
Question 8.
Riko rides her bike 26 miles every week. What is the total number of miles she will ride in 7 weeks?
Answer:
Given that,
Riko rides her bike 26 miles every week.
The total miles in 7 weeks is 26 x 7 = 182.
Therefore the total number of miles she will ride in 7 weeks is 182 miles.
Vocabulary Check
Question 9.
Explain how to regroup 43 ones as tens and ones.
Answer:
The number 43 ones would be regroup has 4 tens and 3 ones.