Converting Customary Measurement Units

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Presentation transcript:

Converting Customary Measurement Units

Converting Customary Measurement Units Common Customary Measurements Length Weight Capacity 1 foot = 12 inches 1 pound = 16 ounces 1 cup = 8 fluid ounces 1 yard = 36 inches 1 ton = 2,000 pounds 1 pint = 2 cups 1 yard = 3 feet 1 quart = 2 pints 1 mile = 5,280 feet 1 quart = 4 cups 1 mile = 1,760 yards 1 gallon = 4 quarts 1 gallon = 16 cups 1 gallon = 128 fl. ounces

Converting Customary Measurement Units Option 1: Using a Conversion Factor Example 1: Convert 93 inches to feet. 93 inches = ___ feet 93 in. x 1 ft. = 12 in. 1 12 in. 93 = 7.75 ft. 12 Original problem Strategy: * Identify the conversion info in the conversion chart. * Multiply the measurement by the conversion factor. ** Important: For the conversion unit, write the unit you are converting to in the numerator and the unit you are converting from in the denominator ** Multiply the measurement by the conversion factor. Cancel out the units and multiply. Final answer 93 inches are equal to 7.75 feet.

Converting Customary Measurement Units Option 1: Using a Conversion Factor Example 2: Convert 1/4 cup to ounces. ¼ cup = ___ oz. 1 c x 8 oz. = 4 1 c 1 c x 8 oz. = 4 1c 8 = 2 ounces 4 Original problem Strategy: * Identify the conversion info in the conversion chart. * Multiply the measurement by the conversion factor. ** Important: For the conversion unit, write the unit you are converting to in the numerator and the unit you are converting from in the denominator ** Multiply the measurement by the conversion factor. Cancel out the units and multiply. Final answer 1/4 cup is equal to 2 ounces.

Option 2: Using Proportions Converting Customary Measurement Units Option 2: Using Proportions Example 3: Convert 48 quarts to gallons. 48 quarts = ___ gallons 4 qt. = 48 qt. = 1 gal. x gal. 4 = 48 = 1 x 4(x) = 48(1) 4x = 48 4 4 x = 12 Original problem Strategy: * Identify the conversion info in the conversion chart. * Set up a proportion with the conversion ratio on one side and the missing quantity on the other. * Solve for the unknown quantity. Multiply the measurement by the conversion factor. Cancel out the units and multiply. Final answer 48 quarts are equal to 12 gallons.

Comparing Different Units Converting Customary Measurement Units Comparing Different Units Example 4: Compare 4 miles to 5,000 yards. 4 mi. __ 5,000 yd. 4 mi. x 1,760 yd. = 1 mi. 1 1 mi. 7,040 = 7,040 yd. 1 Original problem Strategy: * Determine which unit you want both measurements to have. * Then, convert both measurements to the same unit. * Compare the measurements and place the correct symbol between them. Multiply the measurement by the conversion factor. Cancel out the units and multiply. Final answer Conclusion: 4 miles equals 7,040 yards. Therefore, 4 mi. _>_ 5,000 yd.

Converting Customary Measurement Units Try these: Convert the measurements listed below using the conversion factor method. 1.) 10 pints to quarts 2.) 1/2 yards to feet

Converting Customary Measurement Units Try these: Convert the measurements listed below using proportions. 1.) 10,000 pounds to tons 2.) 1& 1/2 miles to yards

Real-Life Application Converting Customary Measurement Units Real-Life Application Bhakti needs feet of fabric to make a costume for a play. How many yards of fabric does she need?