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Using Inverse Operations

Learn how to use inverses to simplify multiplication problems and find single inverse operations to replace multiple steps.

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Using Inverse Operations

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  1. 10 October, 2004 Using Inverse Operations How to use an inverse to undo a repeated multiplication problem.

  2. ÷1.6 X 1.6 2.5 2.5 4 So the inverse of X 1.6 is ÷1.6

  3. X 0.625 X 1.6 2.5 4 2.5 Remember that the inverse X 1.6 is X 1/1.6 (1÷ 1.6 = 0.625)

  4. X 1.6 X 1.2 2.5 4 4.8 X 1.92 4.8 2.5 1.6 X 1.2 = 1.92 So replace the two operations with this single operation

  5. Find the single operation that replaces these two operations. Check your answers, in the same way as the previous example, using a starting number of 2.5

  6. X 1.6 X 1.2 2.5 4 4.8 X 0.52083333……. 4.8 2.5 First find 1.6 X 1.2 = 1.92 Find the reciprocal 1/1.92 = 0.5208333… Multiply by 0.5208333… This is the single inverse operation.

  7. Find the single inverse operation that replaces these two operations. Check your answers, in the same way as the previous example, using a starting number of 2.5

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