# Lesson 2

Meanings of 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?

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. ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### Problem 3 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? ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### Problem 4 Consider the problem: Mai has$36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can she buy? 1. Write a multiplication equation and a division equation to represent this situation. 2. Find the answer. Draw a diagram, if needed. 3. Use the multiplication equation to check your answer. ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### Problem 5 Kiran said that this diagram can show the solution to $$16\div 8 = {?}$$ or $$16 \div 2={?}$$, depending on how we think about the equations and the “?”. Explain or show how Kiran is correct. ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### 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 ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. (From Unit 2, Lesson 23.) ### Problem 7 Mini muffins cost$3.00 per dozen.

• Andre says, “I have $2.00, so I can afford 8 muffins.” • Elena says, “I want to get 16 muffins, so I’ll need to pay$4.00."

Do you agree with either of them? Explain your reasoning.