Integer Operations Worksheets

Add, subtract, multiply and divide positive and negative integers, one operation per worksheet. Grades 6–7.

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What these worksheets practise

Integers are the whole numbers and their negatives: …,−3,−2,−1,0,1,2,3,…\dots, -3, -2, -1, 0, 1, 2, 3, \dots. Working with negative numbers is the first big step from arithmetic toward algebra, and every later topic depends on getting the signs right. Negative numbers on the worksheets are written in parentheses, such as (−8)(-8), so the sign is never confused with the operation.

Choose one operation per worksheet and a number range: Small (up to ±12), Medium (up to ±25) or Large (up to ±50). Every problem includes at least one negative number. Division problems always come out even and stay within the chosen range, so they practise the times tables with signs: on Small they are short facts such as (−12)÷4(-12) \div 4, and on Large they go up to dividends like 48÷(−6)48 \div (-6).

The sign rules

  • Adding, same signs: add the sizes and keep the sign. (−5)+(−6)=−11(-5) + (-6) = -11.
  • Adding, different signs: subtract the smaller size from the larger and take the sign of the larger. (−7)+4=−3(-7) + 4 = -3.
  • Subtracting: subtracting a number is the same as adding its opposite. 3−(−8)=3+8=113 - (-8) = 3 + 8 = 11.
  • Multiplying and dividing: same signs give a positive answer, different signs a negative one. (−6)×(−4)=24(-6) \times (-4) = 24 and (−48)÷8=−6(-48) \div 8 = -6.

Worked examples

Addition: (−7)+4(-7) + 4

The signs differ. 7−4=37 - 4 = 3, and the larger size (7) is negative, so the answer is −3-3.

Subtraction: 3−(−8)3 - (-8)

3−(−8)=3+8=113 - (-8) = 3 + 8 = 11

Multiplication and division: (−6)×(−4)(-6) \times (-4) and (−48)÷8(-48) \div 8

6×4=246 \times 4 = 24, and two negatives give a positive: 2424. Then 48÷8=648 \div 8 = 6, and one negative gives a negative: −6-6.

Check your answers

A number line settles addition and subtraction: start at −7-7 and move 4 to the right to land on −3-3. For division, multiply back: −6×8=−48-6 \times 8 = -48.

Common mistakes

  • Using the multiplication rule for addition. "Two negatives make a positive" is only true for multiplication and division: (−5)+(−6)=−11(-5) + (-6) = -11, not 11.
  • Subtracting a negative the wrong way. 3−(−8)=113 - (-8) = 11, not −5-5.
  • Taking the wrong sign when the signs differ. (−7)+4(-7) + 4 is −3-3, not 3; the sign comes from the number farther from zero.
  • Forgetting the sign in the answer. (−48)÷8(-48) \div 8 is −6-6; writing 6 is a common slip when the division itself is easy.

Sample problems

These problems come from the same generator as the worksheet above. Press Generate for a fresh set.

Addition

  1. (−23)+12=(-23) + 12 =
  2. 19+(−14)=19 + (-14) =

Subtraction

  1. (−12)−(−22)=(-12) - (-22) =
  2. 9−(−9)=9 - (-9) =

Multiplication

  1. (−14)×8=(-14) \times 8 =
  2. (−15)×(−7)=(-15) \times (-7) =

Division

  1. 16÷(−8)=16 \div (-8) =
  2. 24÷(−3)=24 \div (-3) =
Show answers
  1. −11
  2. 5
  3. 10
  4. 18
  5. −112
  6. 105
  7. −2
  8. −8

Tips for teachers and parents

  • Start with addition on the Small range and a printed number line, then remove the number line once students are accurate.
  • Spend extra time on subtraction: rewriting every problem as addition of the opposite is the habit that prevents most errors.
  • Multiplication and division practise the sign rule on top of times tables, so they are good warm-ups before order of operations with negative answers.

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