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DD.1 Convert and compare customary units of length

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What are customary units of length?

Customary units of length are units used in the United States to measure how long or how far something is. The four main units are inches, feet, yards, and miles.

Examples:
  • 1 foot = 12 inches
  • 1 yard = 3 feet
  • 1 mile = 5,280 feet
Note

Customary units are often used for everyday measurements in the United States, such as height, distance, and length.

How to convert customary units of length

To convert customary units of length, you multiply or divide by a conversion factor that tells how many smaller units are in a larger unit, or vice versa.

Steps:
  • To convert from a larger unit to a smaller unit, multiply.
  • To convert from a smaller unit to a larger unit, divide.
  • Example: 3 feet Γ— 12 = 36 inches
  • Example: 48 inches Γ· 12 = 4 feet
Note

Remember: The smaller the unit, the more of them you need to make up the larger unit.

Common length conversions to know

These are the most common conversions you should memorize to help you compare and solve problems involving customary length.

Conversion Chart:
  • 1 foot = 12 inches
  • 1 yard = 3 feet = 36 inches
  • 1 mile = 5,280 feet
  • 1 mile = 1,760 yards
Note

Use these conversions to solve word problems, estimate distances, or check your work when comparing lengths.

Comparing customary units of length

When you compare two measurements, make sure they are in the same unit. You can convert one or both measurements before comparing.

Examples:
  • 3 feet vs. 40 inches β†’ Convert 3 feet to 36 inches β†’ 36 inches < 40 inches
  • 2 yards vs. 5 feet β†’ Convert 2 yards to 6 feet β†’ 6 feet > 5 feet
Note

Always compare using the same unit. Choose the unit that makes the math easier to work with.

Real-world connections

Customary length units are used every day β€” in sports, construction, travel, and even clothing sizes. Knowing how to convert and compare them helps you make sense of real-world measurements.

Examples:
  • A football field is about 100 yards long.
  • A person’s height might be 5 feet 4 inches.
  • A road trip might cover 120 miles.
Note

Understanding length conversions helps you reason about size, distance, and scale β€” skills you use every day in math and beyond.