# Lesson 2

Meanings of Division

Let’s explore ways to think about division.

### Problem 1

Twenty pounds of strawberries are being shared equally by a group of friends. The equation $$20 \div 5=4$$ represents the division of strawberries.

1. If the 5 represents the number of people, what does the 4 represent?
2. If the 5 represents the pounds of strawberries per person, what does the 4 represent?

### Problem 2

A sixth-grade science club needs \$180 to pay for the tickets to a science museum. All tickets cost the same amount.

What could $$180 \div 15$$ mean in this situation? Describe two different possible meanings of this expression. Then, find the quotient and explain what it means in each case.

### Problem 3

Write a multiplication equation that corresponds to each division equation.

1. $$10 \div 5 = {?}$$
2. $$4.5 \div 3 = {?}$$
3. $$\frac12 \div 4 = {?}$$

### Problem 4

Write a division or multiplication equation that represents each situation. Use a “?” for the unknown quantity.

1. 2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
2. A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?
3. Sixteen socks are put into pairs. How many pairs are there?

### Problem 5

Find a value for $$a$$ that makes each statement true.

1. $$a\div6$$ is greater than 1
2. $$a\div6$$ is equal to 1
3. $$a\div6$$ is less than 1
4. $$a\div6$$ is equal to a whole number
(From Unit 4, Lesson 1.)

### Problem 6

Complete the table. Write each percentage as a percent of 1.

fraction decimal percentage
$$\frac14$$ 0.25 25% of 1
0.1
75% of 1
$$\frac15$$
1.5
140% of 1
(From Unit 3, Lesson 14.)

### Problem 7

Jada walks at a speed of 3 miles per hour. Elena walks at a speed of 2.8 miles per hour. If they both begin walking along a walking trail at the same time, how much farther will Jada walk after 3 hours? Explain your reasoning.

(From Unit 3, Lesson 8.)