# Into Math Grade 4 Module 5 Lesson 2 Answer Key Use Area Models and the Distributive Property to Multiply

We included HMH Into Math Grade 4 Answer Key PDF Module 5 Lesson 2 Use Area Models and the Distributive Property to Multiply to make students experts in learning maths.

## HMH Into Math Grade 4 Module 5 Lesson 2 Answer Key Use Area Models and the Distributive Property to Multiply

I Can break apart a 2-digit factor to multiply a 2-digit factor by a 1-digit factor.

A school scramble band gets into formation for a parade. There are 9 rows of 18 band members. How can you make a visual model to show the number of band members that are in the scramble band? Draw a quick picture to show your work.  Explanation:
There are 162 band members in the scramble band.

Turn and Talk Why is this a good visual model for the problem?
We can find the number easily with the visual mode.

Build Understanding

1. Willow is working through some math homework. She comes to 7 × 13 = __. How can she use an area model to help her find the product?
A. How can you draw a rectangle on the grid to show 7 × 13?
_______________________________
_______________________________

Draw and label the rectangle as a combination of two smaller rectangles.  B. How can you use the Distributive Property and the area model to make multiplying easier?
_______________________________
_______________________________
The distributive property made the area model easy by simplifying the numbers.

C. How can you find the product?
_______________________________
_______________________________
7 x 3 = 21, 7 x 10 = 70
70 + 21 = 91
The product of 7 and 13 is 91.

Turn and Talk How can you represent 7 × 13 again, thinking of a different sum for 13?

2. The next problem on Willow’s homework sheet is 3 × 19 = __. How can you use base-ten blocks to show 3 × 19?

Draw a quick picture to show your work. A. How can you use the Distributive Property to break apart the base-ten blocks and find the product?
_______________________________ B. Draw a circle around the tens and a circle around the ones. Then write the numbers to solve.  Explanation:
the product of 3 and 19 is 57.

Check Understanding Math Board

Question 1.
Find the product.
4 × 14 = ___ 4 x 14 = 56

Explanation:
Distributive property
4 x 10 = 40, 4 x 4 = 16
40 + 16 = 56
Therefore 4 x 14 = 56.

Question 2.
Draw an area model to represent the product.
3 × 11 = ___ Explanation:
The product of 3 and 11 is 33.

Question 3.
How can you use an area model to show the product?
8 × 18 = ____  Explanation:
The product of 18 and 8 is 144.

Question 4.
Draw an area model to represent the product.
5 × 14 = ___  Explanation:
The product of 5 and 14 is 70.

Question 5.
Find the product.
7 × 16 = ___ 7 x 16 = 112

Explanation:
Distributive property
7 x 10 = 70, 7 x 6 = 42
70 + 42 = 112
Therefore, 7 x 16 = 112.

Question 6.
Reason Why does the Distributive Property make it easier to multiply a 2-digit number by a 1-digit number?