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Chapter 1 · Numbers · page 3 of 68

Multiplying and dividing signs

levelPre-algebra
standard7.NS.A.2
practiceInteger operations

For multiplying and dividing, count the negative signs. An even count gives a positive result. An odd count gives a negative one. The sizes multiply or divide as usual.

How to use it

  1. Multiply or divide the sizes, ignoring signs.
  2. Count the negatives. Even means positive, odd means negative.

Example

(−3)×4=−12(-3) \times 4 = -12
(−3)×(−4)=12(-3) \times (-4) = 12
−24÷(−6)=4-24 \div (-6) = 4

Where it goes wrong

  • Using the addition rule here. Two negatives added stay negative; two negatives multiplied become positive.
  • Forgetting that a lone negative in a product makes the whole product negative.

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