# Into Math Grade 5 Module 2 Lesson 2 Answer Key Represent Division with 2-Digit Divisors

We included HMH Into Math Grade 5 Answer Key PDF Module 2 Lesson 2 Represent Division with 2-Digit Divisors to make students experts in learning maths.

## HMH Into Math Grade 5 Module 2 Lesson 2 Answer Key Represent Division with 2-Digit Divisors

I Can find the quotient of numbers up to four digits divided by 2-digit divisors using visual models.

You are a game designer designing a treasure hunt game similar to the one shown.
The game board is a grid with a treasure chest located behind one of the squares.

The rectangular grid will have 96 squares. If the length of the grid is greater than 10 squares, how wide can the grid be?

The game board grid can be ___ squares wide.

Given,
The rectangular grid will have 96 squares.
If the length of the grid is greater than 10 squares.
Area of rectangle = length x width
96 = 10 x width
width = 96/10 = 9.6
Therefore, The game board grid can be 9.6 squares wide.

Turn and Talk Compare your game board grid to the game board grids of other classmates. How do they compare?

Build Understanding

1. You are designing another game in which the player needs to arrange flower pots in 12 equal-sized groups. There are 156 flowerpots. How many flowerpots are in each group?

A. What multiplication and division equations can you write to model the number of flowerpots, p, in each group?
______________________

B. How can you break apart 156 into a sum of multiples of 12? Use your multiples to make an area model.
______________________

By area model,
area = length x width
156 = 12 x width
width = 156 ÷ 12

Therefore, width = 13

C. What do the number of rows and the number of columns in the area model represent?
______________________
______________________
______________________

Rows represent length

D. How is the dividend represented in the area model?
______________________
______________________

The dividend is the total area.

E. How is the quotient represented in the area model? What is the quotient?
______________________
______________________

quotient represents width

F. How many flowerpots are in each group?
______________________

13 flowerpots are in each group.

Turn and Talk How can you use your equations to explain how to find the number of flowerpots in each group?

2. There are 675 gold bars hidden throughout the game. The same number of bars are placed in each of 25 treasure chests. How many bars are in each treasure chest?

A. What division equation models this situation?
________________

675 ÷ 25

B. Break apart the dividend into multiples of the divisor and use the area model to find the quotient.
___________________

We know.
area = length x width
675 = 25 x width
width = 675 ÷ 25 = 25

C. Explain what the smaller rectangles represent in terms of the division equation.
___________________
___________________
___________________

Answer: smaller rectangles represent length and width.

D. How many gold bars are in each treasure chest?
___________________

Answer: The number of gold bars in each treasure chest are 625.

Turn and Talk Compare your area model to the area models of other classmates. What can you conclude?

Build Understanding

3. Archaeologists find a sunken chest of 3,420 bronze coins. If the coins are to be shared equally among 20 museums, how many coins does each museum get?

A. How can you model this situation using a division equation?
_________________________

B. Draw an area model to find the quotient. How can using a greater multiple of the divisor help you draw the area model?
_________________________

C. How many coins does each museum get? How does your area model show this?
_________________________

Area = length x width
3420 = 20 x width
width = 3420 ÷  20 = 171
Therefore, each museum gets 171 coins.

Check Understanding Math Board

Question 1.
There are 76 bottles of paint in the art studio. The art teacher divides them equally among all 19 students in the class. How many bottles of paint does each student get?
Given,
There are 76 bottles of paint in the art studio.
The art teacher divides them equally among all 19 students in the class.
So, 76 ÷ 19 = 4
Therefore, Each student get 4 bottles of paint.

Question 2.
Model with Mathematics Lucinda has 81 tulip bulbs. She plants 3 bulbs in each row. How many rows of tulip bulbs does she plant? Write a division equation to model this situation.

Given,
Lucinda has 81 tulip bulbs.
She plants 3 bulbs in each row.
So, 81 ÷ 3 = 27
Therefore, she plants 3 rows of tulip bulbs.

Question 3.
Model with Mathematics Write a division equation that is related to the application of the Distributive Property shown.
12 × (100 + 20 + 4) = (12 × 100) + (12 × 20) + (12 × 4)
= 1,200 + 240 + 48
= 1,488

Question 4.
Miguel volunteers at the library. He needs to arrange 576 books on shelves for a book sale. There are 16 empty shelves. Miguel puts an equal number of books on each shelf.
How many books does he put on each shelf? _______
Given,
Miguel volunteers at the library.
He needs to arrange 576 books on shelves for a book sale.
There are 16 empty shelves.
Miguel puts an equal number of books on each shelf.
So, 576 ÷ 16 = 36
Therefore, she puts 36 books on each shelf.

Question 5.
Model with Mathematics Multiplication of two numbers results in the partial products 200, 10, and 3. One of the factors is 30. Write a multiplication equation and a division equation to model this situation. Show your thinking.
Given,
Multiplication of two numbers results in the partial products 200, 10, and 3.
One of the factors is 30.
From the given data,
let the other number be a
So, 30 x a = 200 x 10 x 3
30 x a = 6000
a = 6000 ÷ 30 = 200
Therefore, other factor is 200.

Question 6.
STEM There are 455 grams of dissolved salt in a 13-kilogram sample of seawater. How many grams of dissolved salt are in 1 kilogram of seawater? _______
Given,
There are 455 grams of dissolved salt in a 13-kilogram sample of seawater.
So, 455 ÷ 13 = 35
Therefore, dissolved salt in 1 kilogram of seawater is 35 grams.

Use Tools Use an area model to represent the division equation and find the quotient.

Question 7.
925 ÷ 25 = c
c = 925 ÷ 25
Area = 925
length = 25
we know area = length x width
width = area / length
= 925 / 25 = 37
Therefore, 925 ÷ 25 = c = 37.

Question 8.
q = 2,750 ÷ 10
q = 2750 ÷ 10
Area = 2750
length = 10
we know area = length x width
width = area / length
= 2750 / 10 = 275
Therefore, 2750 ÷ 10 = q = 275.

Question 9.
t = 1,134 ÷ 54
t = 1134 ÷ 54
Area = 1134
length = 54
we know area = length x width
width = area / length
= 1134 / 54 = 21
Therefore, 1134 ÷ 54 = t = 21.

Question 10.
672 ÷ 24 = g
g = 672 ÷ 24
Area = 672
length = 24
we know area = length x width
width = area / length
= 672 / 24 = 28
Therefore, 672 ÷ 24 = g = 28.

Question 11.
Model with Mathematics The area of the bottom of a swimming pool is 1,250 square meters. The length of the pool is 50 meters. What is the width of the swimming pool? Write a division equation to model this situation.
Given,
The area of the bottom of a swimming pool is 1,250 square meters.
The length of the pool is 50 meters.
We know, area = length x width
1250 = 50 x width
width = 1250 ÷ 50 = 25
Therefore, width of the swimming pool is 25 square meters.

I’m in a Learning Mindset!

What part of representing division of 2-digit divisors am I comfortable solving on my own?
_____________________________

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