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Integer Addition and Subtraction

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Integer Addition and Subtraction

A weather station records temperatures above and below 0°C. Solve each challenge, show your working where you can, and use the number lines to help you track changes.

A quick guide

Integers are whole numbers, their negatives and zero. When adding integers with the same sign, add their magnitudes and keep the sign. With different signs, subtract the smaller magnitude from the larger and use the sign of the larger magnitude. To subtract an integer, add its opposite: for example, 6 − (−3) = 6 + 3.

1.At dawn, the temperature is −6°C. By midday it rises 11°C. What is the midday temperature? Write the integer calculation.
-10-8-6-4-20246810
2.A diving robot is 8 metres below sea level. It descends another 5 metres. Which calculation gives its new position?
  • −8 + 5 = −3
  • −8 + (−5) = −13
  • 8 + (−5) = 3
  • −8 − (−5) = −3
3.Work out 14 + (−19). Show how the signs and magnitudes determine your answer.
4.A lift is on level −2 in an underground car park. It moves up 7 levels, then down 4 levels. What level does it finish on? Write one integer calculation.
-5-4-3-2-101234567
5.True or false? Subtracting a negative integer always has the same effect as adding its positive opposite. Give an example to support your choice.
TrueFalse
6.Rewrite the subtraction as addition of the opposite, then calculate: −9 − (−6).
7.Match each integer expression to its value.
  • −12 + 7
  • −4 − 9
  • 8 − (−6)
  • −3 + (−10)
  • −13
  • −5
  • 14
  • −13
8.A game score starts at −15 points. A player earns 23 points, then loses 12 points. What is the final score? Show the calculation.
9.Luca says, “−7 − 5 = −2, because 7 − 5 = 2.” Explain the mistake and give the correct answer.
10.Find the missing integer: □ + (−8) = −3. Explain how you know.

3 printable pages

  • Integer Addition and Subtraction, page 1 of 3: A quick guide

    Page 1

  • Integer Addition and Subtraction, page 2 of 3: 4. A lift is on level −2 in an underground car park. It moves up 7 levels, then down 4…

    Page 2

  • Integer Addition and Subtraction, page 3 of 3: 10. Find the missing integer: □ + (−8) = −3. Explain how you know.

    Page 3

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