Converting Customary Units

Common Customary Measurements LengthWeightCapacity 1 foot = 12 inches1 pound = 16 ounces1 cup = 8 fluid ounces 1 yard = 36 inches1 ton = 2,000 pounds1 pint = 2 cups 1 yard = 3 feet1 quart = 2 pints 1 mile = 5,280 feet1 quart = 4 cups 1 mile = 1,760 yards1 gallon = 4 quarts 1 gallon = 16 cups 1 gallon = 128 fl. ounces

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

Strategy: * Identify the conversion info in the conversion chart. * Multiply the measurement by the conversion factor. ** Important: Write the unit you are converting to in the numerator and the unit you are converting from in the denominator. ** Option 1: Using a Conversion Factor Example 2: Convert 2 pounds to ounces. Original problem Multiply the measurement by the conversion factor. Cancel out the units and multiply. 2 lbs. = ___ oz. 2 lb. x 16 oz. = 1 lb. 2 lb. x 16 oz. = 1 1lb. 32 = 32 ounces 1 Final answer 2 pounds are equal to 32 ounces. Converting Customary Units

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. Option 1: Using Proportions Example 3: Convert 48 quarts to gallons. Original problem Multiply the measurement by the conversion factor. Cancel out the units and multiply. 48 qt. = ___ gal. 4 qt. = 48 qt. = 1 gal. x gal. 4 = 48 = 1 x 4(x) = 48(1) 4x = x = 12 Final answer 48 quarts are equal to 12 gallons. Converting Customary Units

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. Example 4: Compare 4 miles to 5,000 yards. Original problem Multiply the measurement by the conversion factor. Cancel out the units and multiply. 4 mi. __ 5,000 yd. 4 mi. x 1,760 yd. = 1 mi. 4 mi. x 1,760 yd. = 1 1 mi. 7,040 = 7,040 yd. 1 Final answer Conclusion: 4 miles equals 7,040 yards. Therefore, 4 mi. _>_ 5,000 yd. Comparing Different Units Converting Customary Units

Try these: Convert the measurements listed below using the conversion factor method. 1.) 10 pt. to qt. 2.) 9 yd. to ft. Converting Customary Units

Try these: Convert the measurements listed below using proportions. 1.) 10,000 lbs. to T 2.) 4 mi. to yd. Converting Customary Units

Try these: Compare the following measurements. 1.) 4 qt. ___ 24 c 2.) 2 mi. ___ 10,000 ft. Converting Customary Units

Real-Life Application The Washington Monument is about 185 yards tall. This height is almost equal to the length of two football fields. What is the Washington Monument’s height in feet? YardsFeet n a.) What rule can be applied when converting yards to feet? b.) Use the rule to determine the approximate height of the Washington Monument in feet. Converting Customary Units