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Length in the Customary System. Lesson 8-1:. Conversions for Length in the Customary System (Conversion Factors). 1, 760 yd = 1 mi. Strategy. When converting from a large unit to a small unit, multiply by the conversion factor.
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Length in the Customary System Lesson 8-1:
Conversions for Length in the Customary System (Conversion Factors) 1, 760 yd = 1 mi
Strategy • When converting from a large unit to a small unit, multiply by the conversion factor. • When converting from a small unit to a larger unit, divide by the conversion factor.
Units from: Small Large Inch (in) Foot (ft) Yard (yd) Mile (mi)
Changing Units • Determine the direction of the change (LS or SL) • Determine if you are going to multiply or divide.
Example 1 7 yards = _____ ft L S so you are going to multiply (1 yard = 3 feet) 7 X 3 = 21 Therefore 7 yd = 21 ft
Example 2 2 miles = ______ ft L S 2 steps are needed. Step 1: Convert miles to yards Step 2: Convert yards to miles (1 mile = 1,760 yards) (1 yard = 3ft) 2 miles = 3,520 yards 3,520 yard = 10, 560 ft Therefore, 2 miles = 10,560 Ft
Example 3 40 in = ______ ft S L 40 ÷ 12 1 1 We can divide fractions so that remainders can be described as fractions. 10 40 x 1 1 12 3 10 3 1 = 3 3 Therefore 40 in = 3 1/3 ft