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Multiplying and dividing integers

Multiply and divide signed integers, checking the sign first.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Nonzero factors

Choose the multiplication factors and the divisor and answer for division. Zero is skipped; dividends can fall outside the range.

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mathsprig-1
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29a5d514
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Multiplying and dividing integersMultiplying and dividing integers. Practice. Evaluate (−22) ÷ (−2). Evaluate (8) × (2). Evaluate (5) × (−9). Evaluate (−7) × (10). Evaluate (−55) ÷ (5). Evaluate (27) ÷ (−3). Evaluate (1) × (6). Evaluate (4) × (−1). Evaluate (−70) ÷ (10). Evaluate (−2) × (10). Evaluate (−9) × (2). Evaluate (−7) × (−10).Name __________________________Date _______________Multiplying and dividing integersEvaluate each product or quotient.Worked exampleEvaluate (−24) ÷ 6. → −4The signs differ, so the quotient is negative.1.Evaluate (−22) ÷ (−2).2.Evaluate (8) × (2).3.Evaluate (5) × (−9).4.Evaluate (−7) × (10).5.Evaluate (−55) ÷ (5).6.Evaluate (27) ÷ (−3).7.Evaluate (1) × (6).8.Evaluate (4) × (−1).9.Evaluate (−70) ÷ (10).10.Evaluate (−2) × (10).11.Evaluate (−9) × (2).12.Evaluate (−7) × (−10).MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · 29a5d514
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Practice + answer key · 2 pages

Integers

What you’ll practice

Apply sign rules to integer products and exact quotients.

For two nonzero numbers, matching signs give a positive answer and different signs give a negative answer. Decide on the sign, then multiply or divide the numbers.

How this skill works

First determine the sign from the two inputs.

Multiply or divide their absolute values. Combine that magnitude with the sign.

Worked example

Evaluate (−24) ÷ 6.
  1. The signs differ, so the quotient is negative.
  2. 24 ÷ 6 = 4.
  3. The result is −4.

Answer: −4

Teaching notes

  • Division by zero is never permitted.
Practice questions
  1. Evaluate (−22) ÷ (−2).
  2. Evaluate (8) × (2).
  3. Evaluate (5) × (−9).
  4. Evaluate (−7) × (10).
  5. Evaluate (−55) ÷ (5).
  6. Evaluate (27) ÷ (−3).
  7. Evaluate (1) × (6).
  8. Evaluate (4) × (−1).
  9. Evaluate (−70) ÷ (10).
  10. Evaluate (−2) × (10).
  11. Evaluate (−9) × (2).
  12. Evaluate (−7) × (−10).
Answers and steps
  1. 11
    1. The signs match, so the result is positive.
    2. Ignoring signs, 22 ÷ 2 = 11.
    3. With the correct sign, the answer is 11.
  2. 16
    1. The signs match, so the result is positive.
    2. Ignoring signs, 8 × 2 = 16.
    3. With the correct sign, the answer is 16.
  3. −45
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 5 × 9 = 45.
    3. With the correct sign, the answer is −45.
  4. −70
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 7 × 10 = 70.
    3. With the correct sign, the answer is −70.
  5. −11
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 55 ÷ 5 = 11.
    3. With the correct sign, the answer is −11.
  6. −9
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 27 ÷ 3 = 9.
    3. With the correct sign, the answer is −9.
  7. 6
    1. The signs match, so the result is positive.
    2. Ignoring signs, 1 × 6 = 6.
    3. With the correct sign, the answer is 6.
  8. −4
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 4 × 1 = 4.
    3. With the correct sign, the answer is −4.
  9. −7
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 70 ÷ 10 = 7.
    3. With the correct sign, the answer is −7.
  10. −20
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 2 × 10 = 20.
    3. With the correct sign, the answer is −20.
  11. −18
    1. The signs differ, so the result is negative.
    2. Ignoring signs, 9 × 2 = 18.
    3. With the correct sign, the answer is −18.
  12. 70
    1. The signs match, so the result is positive.
    2. Ignoring signs, 7 × 10 = 70.
    3. With the correct sign, the answer is 70.