# 7.19: Conversion of Customary Units by Dividing

**At Grade**Created by: CK-12

**Practice**Conversion of Customary Units by Dividing

Have you ever studied animals of the rainforest? Have you ever had to convert pounds to tons?

In learning about the rainforest, Michaela discovered that a hippopotamus lives in the sub - Sahara desert area of Africa. This area is considered part of a rainforest. The hippopotamus weighs about 10,000 pounds. Michaela is wondering how many tons that could be.

Do you know?

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This Concept is all about converting customary units of measurement using division. That is exactly what Michaela will need to do. At the end of the Concept, you will be able to convert the hippopotamus' weight.
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### Guidance

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When converting from a larger unit to a smaller unit, we multiplied. When converting from a smaller unit to a larger unit, we divide by an equivalent unit.
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Let’s look at the pennies again.

5000 pennies = ____ dollars

We know that there are 100 pennies in one dollar. This is the equivalent unit. If we divide 5000 by 100, we will have the number of dollars.

5000 100 50 dollars

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Our answer is 50 dollars.
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Let’s apply this to our work with measurement. Remember to think about the equivalent units of length, capacity and weight when dividing.
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First, here are equivalence charts from earlier Concepts.

5500 pounds = ____ tons

A pound is smaller than a ton so we divide. There are 2000 pounds in 1 ton, that is our equivalent unit. We divide 5500 by 2000.

5500 2000 = 2.75 or tons

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Our answer is 2.75 or
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tons.
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Take this information and apply it when converting the following units of measure.

#### Example A

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84 inches
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= ____
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feet
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Solution: 7 feet
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#### Example B

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40 cups
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= ____
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pints
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Solution: 20 pints
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#### Example C

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800 pounds
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= ____
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tons
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Solution: .4 tons
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Now back to Michaela and the rainforest. Here is the original problem once again.

Have you ever studied animals of the rainforest? Have you ever had to convert pounds to tons?

In learning about the rainforest, Michaela discovered that a hippopotamus lives in the sub - Sahara desert area of Africa. This area is considered part of a rainforest. The hippopotamus weighs about 10,000 pounds. Michaela is wondering how many tons that could be.

Do you know?

To convert this measurement, we first have to think about the equivalent conversion.

2000 pounds = 1 ton

The hippopotamus weighs 10,000 pounds. We need to convert this to tons.

Because we are going from a smaller unit to a larger unit, we divide.

tons

This is our answer.

### Vocabulary

Here are the vocabulary words in this Concept.

- Equivalent
- equal amount or unit

- Length
- measuring how long something is-customary units are inches, feet, yards and miles

- Weight
- measuring how heavy something is-customary units are ounces, pounds and tons.

- Capacity
- measuring how much liquid something can hold-customary units are fluid ounces, cups, pints, quarts and gallons.

### Guided Practice

Here is one for you to try on your own.

1,250 inches = _____ feet

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Answer
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To solve this problem, we have to convert inches to feet. Let's think about the equivalent measurement.

12 inches = 1 foot

We divide the number of inches given by 12.

We can round up to the nearest foot.

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Our answer is 104 feet.
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### Video Review

Here are videos for review.

Khan Academy Converting Pounds to Ounces

James Sousa Converting Customary Units

### Practice

Directions: Convert each smaller unit of measure to its larger equivalent using division.

1. 6 quarts = ____ gallons

2. 24 inches = ____ feet

3. 18 inches = ____ feet

4. 4 quarts = ____ gallons

5. 12 pints = ____ quarts

6. 25 pints = ____ quarts

7. 1 quart = ____ gallons

8. 9 quarts = ____ gallons

9. 15 quarts = ____ gallons

10. 99 inches = ____ pints

11. 98 pints = ____ gallons

12. 12,000 pounds = ____ tons

13. 22,000 pounds = ____ tons

14. 5,000 pounds = ____ tons

15. 20,000 pounds = ____ tons

### Image Attributions

## Description

## Learning Objectives

Here you'll learn to convert customary units of measure using division.