Multiplying & Dividing Rational Numbers

Decide the sign first — same signs give +, different signs give -; then multiply or divide the absolute values

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About This Practice

The trick for rational multiplication and division is "sign first, value second": step one, look at the signs of the two factors — same signs give positive, different signs give negative, so the sign of the result is settled; step two, multiply or divide the absolute values to get the number. Put together, no signed multiplication or division can go wrong.

Multiplying and dividing rational numbers takes two steps: first decide the sign — same signs give positive, different signs give negative; second compute the value — multiply or divide the absolute values. Judge the sign of a random expression first, then watch the absolute-value animation verify it, with negative numbers throughout.

MediumEstimated Time: 15minrational number multiplicationrational number divisionsign rulesabsolute valuenegative numbers

How to Play

  1. Look at the two factors: do they have the same sign or different signs?
  2. Decide the sign of the result first: same signs give +, different signs give -.
  3. Then the absolute values: multiply or divide them.
  4. Check with the animation: do the sign chips and the absolute-value computation match your call?
  5. Take a new problem: answer the sign aloud first, then the value.

Learning Objectives

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