Proportions and Customary 8-3 Measurement Learn to use proportions to make conversions within the customary system. Course 1 Proportions and Customary 8-3 Measurement Course 1 Proportions and Customary 8-3 Measurement cc cc cc cc Cup = 8 oz cc cc Course 1 cc cc 8-3 Dimensional Analysis cup cup cup cup cup cup cup cup Course 2 Pint Pint Quart Quart Pint Pint Gallon Pint Pint Quart cup cup cup cup Quart Pint Pint cup cup cup cup 8-3 Dimensional Analysis Course 2 8-3 Dimensional Analysis 12 inches = 1 foot 1 inch Course 2 8-3 Dimensional Analysis Course 2 8-3 Dimensional Analysis Course 2 Proportions and Customary 8-3 Measurement Additional Example 1A: Using Proportions to Convert Measurements A. Sonja went hiking for 4 hours. For how many minutes did she go hiking? 1 hr 4 hr _____ = ____ 60 min x min 60 • 4 = 1 • x 1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find. The cross products are equal. 240 = x Sonja hiked for 240 minutes. Course 1 Proportions and Customary 8-3 Measurement Additional Example 1B: Using Proportions to Convert Measurements B. Mr. Lee is 72 inches tall. Find his height in feet. 1 foot is 12 inches. Write a 1 ft x ft ____ ____ proportion. Use a variable = 12 in 72 in. for the value you are trying to find. 12 • x = 1 • 72 The cross products are equal. 12x = 72 x is multiplied by 12. 12x = ___ 72 ___ 12 12 x=6 Divide both sides by 12 to undo the multiplication. Mr. Lee is 6 feet tall. Course 1 Proportions and Customary 8-3 Measurement Additional Example 1C: Using Proportions to Convert Measurements C. Hunter used 56 cups of water to wash his car. How many gallons of water did he use? 1 gallon is 16 cups. Write a 1 gal x gal _______ ______ = 16 cups 56 cups proportion. Use a variable for the value you are trying to find. 16 • x = 1 • 56 The cross products are equal. 16x = 56 x is multiplied by 16. 16x = ___ 56 ___ 16 16 x = 3.5 Divide both sides by 16 to undo the multiplication. Hunter used 3.5 gallons of water to wash his car. Course 1 Proportions and Customary 8-3 Measurement Try This: Example 1A A. Helga went biking for 3 hours. For how many minutes did she go biking? 1 hr 3 hr _____ = ____ 60 min x min 60 • 3 = 1 • x 1 hour is 60 minutes. Write a proportion. Use a variable for the value you are trying to find. The cross products are equal. 180 = x Helga biked for 180 minutes. Course 1 Proportions and Customary 8-3 Measurement Try This: Example 1B B. Ms. Hagan is 60 inches tall. Find her height in feet. 1 foot is 12 inches. Write a 1 ft x ft ____ ____ proportion. Use a variable = 12 in. 60 in. for the value you are trying to find. 12 • x = 1 • 60 The cross products are equal. 12x = 60 x is multiplied by 12. 12x = ___ 60 ___ 12 12 x=5 Divide both sides by 12 to undo the multiplication. Ms. Hagan is 5 feet tall. Course 1 Proportions and Customary 8-3 Measurement Try This: Example 1C C. Seymour used 40 cups of water to wash his dog. How many gallons of water did he use? 1 gallon is 16 cups. Write a 1 gal x gal _______ = ______ 16 cups 40 cups proportion. Use a variable for the value you are trying to find. 16 • x = 1 • 40 The cross products are equal. 16x = 40 x is multiplied by 16. 16x 40 ___ = ___ 16 16 x = 2.5 Divide both sides by 16 to undo the multiplication. Seymour used 2.5 gallons of water to wash his dog. Course 1 Proportions and Customary 8-3 Measurement Insert Lesson Title Here Lesson Quiz Find the missing value. 1. in. = 6 yd 2. 24 pt = gal 216 3 Compare. Write <, >, or =. 1 lb. > 2__ 2 4. 7,920 ft 1.5 mi = 3. 42 oz 5. If your family is going to take a 3-week vacation, how many days will you be gone? 21 days Course 1

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