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Integer Operations Worksheet

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Integer Operations Worksheet

Work carefully with positive and negative integers. Show working for calculation and problem-solving questions.

Integer ideas

1.Select every integer in this list: −12, 4.6, 0, ⅔, 19, −3.25.

−12
4.6
0
⅔
19
−3.25

2.Which integer is the additive opposite of 14?

−14
0
14
28

3.Put these integers in ascending order: 6, −11, 2, 0, −4.

4.A research buoy is 37 metres below sea level. Represent its position as an integer, in metres.

5.Match each integer calculation with its result.

−8 + 13
6 + (−14)
−3 − (−10)
−9 − 4

7
5
−13
−8

Calculate with integers

6.Calculate −5 + 12. Use the number line to show your movement from the starting value.

7.Work out 9 + (−16).

8.Evaluate −7 − (−5).

9.Calculate (−6) × 8.

10.Evaluate (−72) ÷ (−9).

11.Work out 18 − [4 × (−3)].

12.Fill in the next three terms of this sequence: 17, 10, 3, __, __, __.

Integer problem solving

13.At dawn, the temperature in Dunedin was −6°C. It rose by 11°C before midday, then dropped by 4°C. What was the temperature after both changes?

14.Tui's account has a balance of $18. She pays $27 for a bus pass, receives a $12 refund, then spends $9 at a shop. What is the account balance at the end?

15.Explain why subtracting a negative integer has the same effect as adding its positive opposite. Include a numerical example.