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Mastering Length Conversions in the Customary System

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This lesson focuses on converting lengths within the Customary System, utilizing key conversion factors. It explains how to navigate between large and small units such as inches, feet, yards, and miles. The strategy involves determining the direction of the conversion – whether moving from large to small or vice versa – and applying the correct mathematical operation: multiplication when going smaller and division when transitioning to larger units. With practical examples, learners will gain confidence in converting lengths accurately.

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Mastering Length Conversions in the Customary System

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  1. Length in the Customary System Lesson 8-1:

  2. Conversions for Length in the Customary System (Conversion Factors) 1, 760 yd = 1 mi

  3. 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.

  4. Units from: Small Large Inch (in) Foot (ft) Yard (yd) Mile (mi)

  5. Changing Units • Determine the direction of the change (LS or SL) • Determine if you are going to multiply or divide.

  6. 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

  7. 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

  8. 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

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