5-6 Customary Measurements

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpSimplify.

416

1.

68

3.

916

2.

1416

4.

14

916

34

78

Course 1

5-6 Customary Measurements

Problem of the Day

The ratio of the length of U.S. paper currency to its width is about 2.4 to 1. If the length of an actual bill is about 6.2 inches, how wide is a bill? Round your answer to the nearest tenth.

2.6 inches

Course 1

5-6 Customary Measurements

Learn to identify and convert customary units of measure.

Course 1

5-6 Customary Measurements

Customary Unit

Length Inch (in.) Length of a small paper clip

Foot (ft) Length of a standard sheet of paper

Mile (mi) Length of about 18 football fields

Weight Ounce (oz) Weight of a slice of bread

Pound (lb) Weight of 3 apples

Ton Weight of a buffalo

Capacity Fluid Ounce (fl oz) Amount of water in 2 tablespoons

Cup © Capacity of a standard measuring cup

Gallon (gal) Capacity of a large milk jug

Course 2

5-6 Customary Measurements

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

Additional Example 1: Choosing the Appropriate Customary Unit

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

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

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

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5-6 Customary Measurements

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

B. the diameter of a soap can

C. the weight of a newborn baby

Check It Out: Example 1

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

A. the length of a pen topinch; The length of a pen top is similar to the length of a small paper clip.

pounds; The weight of a pitcher of juice is similar to the weight of about 10 apples.

Course 1

5-6 Customary Measurements

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

B. the weight of a pitcher of juice

C. the capacity of a jar of peanut butter

Length

12 inches (in)= 1 foot (ft)3 feet = 1 yard (yd)

5,280 feet = 1 mile (mi)

Weight

16 ounces (oz) = 1 pound (lb) 2000 pounds = 1 ton

Capacity

8 fluid ounces (fl oz) = 1 cup (c)2 cups = 1 pint (pt)

2 pints = 1 quart (qt)4 quarts = 1 gallon (gal)

Course 1

5-6 Customary Measurements

Additional Example 2A: Converting Customary Units

Convert 5,000 pounds to tons.

Method 1: Use a Proportion

= pounds tons

2,000 1

Write a proportion using a ratio of equivalent measures.

2,000 • x = 1 • 5,000

2000x = 5,000

Course 1

5-6 Customary Measurements

5,000 m x

x = 2.5

5,000 pounds is equal to 2.5 tons.

Method 2: Multiply by 1

= 5,000

5,000 p = 5,000 p m 1

Multiply by a ratio equal to 1, and cancel the units.

Course 1

5-6 Customary Measurements

Additional Example 2B: Converting Customary Units

Convert 5,000 pounds to tons.

1 ton t 2,000 p

1 ton t 2,000

= 2.5 tons

5,000 pounds is equal to 2.5 tons.

Check It Out: Example 2A

Convert 24 pints to cups.

Method 1: Use a Proportion

= cups pints

2 1

Write a proportion using a ratio of equivalent measures.

1 • c = 2 • 24

c = 48

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5-6 Customary Measurements

c 24

24 pints is equal to 48 cups.

Method 2: Multiply by 1

= 24

24 pt = 24 pt m1

Multiply by a ratio equal to 1, and cancel the units.

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5-6 Customary Measurements

Check It Out: Example 2B

Convert 24 pints to cups.

2 ct 1 pt

2 c 1

= 48 cups

24 pints is equal to 48 cups.

This is actually multiplying by 1 because 1 pint has 2 cups in it.

Additional Example 3: Adding or Subtracting Mixed Units of Measure

Allison orders a 6-ounce grilled chicken sandwich. Dominic orders a quarter-pound grilled chicken sandwich. Which sandwich weighs more? Explain.

= ounces

pounds

16 1

First convert a quarter-pound to ounces.

x = 4 oz

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5-6 Customary Measurements

x .25

Write a proportion using 16 oz = 1 lb.

Allison’s sandwich weighs more because Dominic’s sandwich is only 4 oz.

Check It Out: Example 3

Tedd and Fergie go the hardware store to purchase a bag of nails. Tedd buys a bag of nails that weighs 7 pounds 8 ounces. Fergie buys a bag of nails that weighs 128 ounces. Which bag of nails weighs more? Explain.

= ounces

pounds

16 1

First convert 7 pounds to ounces.

x = 112 oz + 8 oz

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5-6 Customary Measurements

x 7

Write a proportion using 16 oz = 1 lb.

Fergie’s bag of nails weigh more because Tedd’s bag only weighs 120 oz.

x = 120 oz

Lesson Quiz: Part IChoose the most appropriate customary unit for each measurement. Justify your answer.

1. the capacity of a bathtub

2. the weight of a calculator

3. the length of an indoor sports arena

gallons; similar to the capacity of several large milk jugs

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too small to measure in miles, so it should be measured in feet

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5-6 Customary Measurements

ounces; similar to the weight of several slices of bread

Lesson Quiz: Part II

4. Convert 13 gallons to quarts.

5. Seth is returning from a 5-mile hike. He passes a

trail sign that says, “3,520 feet to base camp.”

How many more miles does Seth have to hike?

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52

2 3

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5-6 Customary Measurements