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California Standards. AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). Also covered: NS1.3. You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.

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slide1

California

Standards

AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches).

Also covered: NS1.3

slide2

You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.

Write this on p 124.

slide3

Example 1: Choosing the Appropriate Customary Unit

Choose the most appropriate customary unit for each measurement. Justify your answer.

A. the weight of a car

tons; The weight of a car is similar to the weight of a buffalo.

B. the diameter of a soap can

inches; The diameter of a soup can is similar to the length of a few paper clips.

C. the weight of a newborn baby

pounds; The weight of a newborn baby is similar to the weight of more than a dozen apples.

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Example 2: Converting Customary Units

Convert 5,000 pounds to tons.

Write a proportion using a ratio of equivalent measures.

mlx 5,000

tonspounds

1 2000

=

1 •5,000 = 2,000•x

2.5 = x

5,000 pounds is equal to 2.5 tons.

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Example 3: Converting Between Metric and Customary Units

One mile is about 1.6 kilometers. What is the length in miles of a 10 kilometer race? Round to the nearest tenth of a mile.

Write a proportion using 1 mile  1.6 kilometers.

miles kilometers

11.6

x 10

=

1.6 · x = 1 · 10

The cross products are equal.

1.6x = 10

Multiply.

1.6x

1.6

10

1.6

=

Divide each side by 1.6.

x 6.3

Round to the nearest whole number.

The length of a 10 kilometer race is about 6.3 miles long.

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Check It Out! Example 1

Choose the most appropriate customary unit for the measurement. Justify your answer.

the capacity of a jar of peanut butter

cups; The capacity of a jar of peanut butter is similar to the capacity of 2 standard measuring cups.

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Check It Out! Example 2

Convert 24 pints to cups.

Write a proportion using a ratio of equivalent measures.

c 24

cups pints

21

=

1 •c = 2 • 24

c = 48

24 pints is equal to 48 cups.

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Check It Out! Example 3

One cup is about 8 fluid ounces. What is the amount in cups of a 35 fluid ounce container? Round to the nearest tenth of a cup.

Write a proportion using 1 cup = 8 fluid ounces.

cups fluid ounces

18

x 35

=

8 · x = 1 · 35

The cross products are equal.

8x = 35

Multiply.

8x

8

35

8

=

Divide each side by 8.

x  4.4

Round to the nearest whole number.

The amount of a 35 fluid ounce container is about 4.4 cups.

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