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Core skills · Level 7

Integers: × and ÷

Multiply and divide negative numbers, and why negative × negative is positive.

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Learn with Kutty
The idea

Multiply the numbers as usual. Then: same signs give +, different signs give −.

×+−++−−−+
×+−++−−−+

Look: The sign rule. Same signs: plus. Different signs: minus.

✏️ Your turn!

Type your answer and press Check. Kutty will tell you if it is right.

  1. 1(−7) × 6 = ?

  2. 2(−9) × (−9) = ?

  3. 356 ÷ (−8) = ?

! Careful!

  • ✗−3 × −4 = −12.

    ✓Same signs: +12.

  • ✗Using this rule for adding: −3 + −4 = +7.

    ✓For adding, use the number line: −7.

See the whole lesson on one page

Multiply the numbers as usual. Then: same signs give +, different signs give −.

3 × −2 = −6 (different signs). −3 × −2 = +6 (same signs). Division follows the same sign rule.

Think of it like thisThink of "not unhappy": two negatives make a positive. "Not happy" (one negative) stays negative.

×+−++−−−+
×+−++−−−+
The sign rule. Same signs: plus. Different signs: minus.

Solved together

Question

A diver goes down 4 m every minute. Where is she after 6 minutes?

  1. Going down is negative: −4 m each minute, for 6 minutes.

    6 × (−4)
  2. Numbers: 6 × 4 = 24. Signs are different, so the answer is negative.

    = −24
    −28−24−20−16−12−8−404
    −28−20−12−44

AnswerShe is at −24 m (24 m below the surface).

Now practise it

Kanakku makes new questions on integers: × and ÷ every time. It shows the working and gives a hint when you are stuck.

Play and practise