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Adding and subtracting integers

Add and subtract positive and negative integers.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Given integer terms

The range applies to each input term; their sum or difference may be outside it.

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mathsprig-1
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eff9c32a
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Adding and subtracting integersAdding and subtracting integers. Practice. Evaluate −18 − (18). Evaluate 10 − (−10). Evaluate −15 + (−18). Evaluate 20 − (−11). Evaluate −19 − (−2). Evaluate −5 − (−20). Evaluate 2 + (8). Evaluate 3 − (6). Evaluate −2 − (5). Evaluate −14 + (19). Evaluate −10 + (10). Evaluate −6 + (6).Name __________________________Date _______________Adding and subtracting integersEvaluate each expression.Worked exampleEvaluate −7 − (−4). → −3Subtracting −4 is the same as adding 4.1.Evaluate −18 − (18).2.Evaluate 10 − (−10).3.Evaluate −15 + (−18).4.Evaluate 20 − (−11).5.Evaluate −19 − (−2).6.Evaluate −5 − (−20).7.Evaluate 2 + (8).8.Evaluate 3 − (6).9.Evaluate −2 − (5).10.Evaluate −14 + (19).11.Evaluate −10 + (10).12.Evaluate −6 + (6).MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · eff9c32a
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Practice + answer key · 2 pages

Integers

What you’ll practice

Compute sums and differences of signed integers.

Use the signs to decide which way to move on a number line. Subtracting a negative number has the same effect as adding its positive opposite.

How this skill works

For addition, combine movement in the directions indicated by the signs.

Rewrite a − b as a + (−b). Then use the same addition rules.

Worked example

Evaluate −7 − (−4).
  1. Subtracting −4 is the same as adding 4.
  2. −7 − (−4) = −7 + 4.
  3. Starting at −7 and moving four places right reaches −3.

Answer: −3

Teaching notes

  • Parentheses make a negative second term easier to read.
Practice questions
  1. Evaluate −18 − (18).
  2. Evaluate 10 − (−10).
  3. Evaluate −15 + (−18).
  4. Evaluate 20 − (−11).
  5. Evaluate −19 − (−2).
  6. Evaluate −5 − (−20).
  7. Evaluate 2 + (8).
  8. Evaluate 3 − (6).
  9. Evaluate −2 − (5).
  10. Evaluate −14 + (19).
  11. Evaluate −10 + (10).
  12. Evaluate −6 + (6).
Answers and steps
  1. −36
    1. Subtracting 18 is adding its opposite −18.
    2. −18 + (−18) = −36.
  2. 20
    1. Subtracting −10 is adding its opposite 10.
    2. 10 + (10) = 20.
  3. −33
    1. Add the signed values: −15 + (−18) = −33.
  4. 31
    1. Subtracting −11 is adding its opposite 11.
    2. 20 + (11) = 31.
  5. −17
    1. Subtracting −2 is adding its opposite 2.
    2. −19 + (2) = −17.
  6. 15
    1. Subtracting −20 is adding its opposite 20.
    2. −5 + (20) = 15.
  7. 10
    1. Add the signed values: 2 + (8) = 10.
  8. −3
    1. Subtracting 6 is adding its opposite −6.
    2. 3 + (−6) = −3.
  9. −7
    1. Subtracting 5 is adding its opposite −5.
    2. −2 + (−5) = −7.
  10. 5
    1. Add the signed values: −14 + (19) = 5.
  11. 0
    1. Add the signed values: −10 + (10) = 0.
  12. 0
    1. Add the signed values: −6 + (6) = 0.