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Add and subtract lengths

Addition and subtraction of lengths represent composing and separating segments, finding total distance, or determining the difference between two measurements when lengths are expressed in the same unit. Learners interpret rulers, number lines, diagrams, and word problems to choose operations and preserve the unit, understanding that unlike units must be converted before combining; fractional, decimal, and more complex unit-conversion cases are beyond this scope.

Detailed Explanation: Add and subtract lengths

Lengths can be added when pieces are joined and subtracted when a piece is taken away or when finding the difference. First, check that all measurements use the same unit.

Example: A strip of paper is (16)(16) centimeters long. A 77-centimeter piece is cut off, and then a 33-centimeter piece is attached. How long is the strip now?

  1. Subtract the piece that was cut off:
16 cm−7 cm=9 cm16\text{ cm}-7\text{ cm}=9\text{ cm}
  1. Add the piece that was attached:
9 cm+3 cm=12 cm9\text{ cm}+3\text{ cm}=12\text{ cm}
  1. Keep the unit in the answer.

The strip is (12)(12) centimeters long.

Learn by doing: Add and subtract lengths

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Measurement - Subtract String Lengths - Centimeters, Answer in Centimeters


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