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Holt CA Course 1 5-5 Customary Measurements AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). Also covered: NS1.3 California Standards
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Holt CA Course 1 5-5 Customary Measurements You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.
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Holt CA Course 1 5-5 Customary Measurements Teacher 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. inches; The diameter of a soup can is similar to the length of a few paper clips. 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
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Holt CA Course 1 5-5 Customary Measurements Student Practice 1: Choose the most appropriate customary unit for each measurement. Justify your answer. A. the length of a pen top inch; 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. 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
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Holt CA Course 1 5-5 Customary Measurements 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)
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Holt CA Course 1 5-5 Customary Measurements Teacher Example 2: 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 2,000x = 5,000 5,000 m x x = 2.5 5,000 pounds is equal to 2.5 tons.
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Holt CA Course 1 5-5 Customary Measurements Method 2: Multiply by 1. = 5,000 5,000 lb = 5,000 lb m 1 Multiply by a ratio equal to 1, and cancel the units. Teacher Example 2: Continued Convert 5,000 pounds to tons. 1 ton t 2,000 lb 1 ton t 2,000 = 2.5 tons 5,000 pounds is equal to 2.5 tons.
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Holt CA Course 1 5-5 Customary Measurements Student Practice 2: Convert 24 pints to cups. Method 1: Use a Proportion. = cups pints 2121 Write a proportion using a ratio of equivalent measures. 1 c = 2 24 c = 48 c 24 24 pints is equal to 48 cups.
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Holt CA Course 1 5-5 Customary Measurements Method 2: Multiply by 1. = 24 24 pt = 24 pt m1 Multiply by a ratio equal to 1, and cancel the units. Student Practice 2: Continued Convert 24 pints to cups. 2 ct 1 pt 2 c 1 = 48 cups 24 pints is equal to 48 cups.
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Holt CA Course 1 5-5 Customary Measurements Teacher 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. = miles kilometers 1 1.6 x 10 Write a proportion using 1 mile 1.6 kilometers. The length of a 10 kilometer race is about 6.3 miles long. 1.6 · x = 1 · 10 1.6x = 10 1.6x 1.6 = 10 1.6 x 6.3 Divide each side by 1.6. The cross products are equal. Multiply. Round to the nearest whole number.
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Holt CA Course 1 5-5 Customary Measurements Student Practice 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. = cups fluid ounces 1818 x 35 Write a proportion using 1 cup = 8 fluid ounces. The amount of a 35 fluid ounce container is about 4.4 cups. 8 · x = 1 · 35 8x = 35 8x88x8 = 35 8 x 4.4 Divide each side by 8. The cross products are equal. Multiply. Round to the nearest whole number.
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