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Integer Operations Practice
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Integer Operations Practice
Work carefully with positive and negative integers. Show working where asked.
Ordering and Comparing Integers
1.Arrange these integers from least to greatest: −9, 4, −1, 6, −4, 0, 2.
2.Choose the symbol that makes this comparison true: −8 □ −2.
- <
- >
- =
3.Which temperature is colder: −14°C or −6°C?
- −14°C
- −6°C
- They are equally cold
4.Plot −7, −2, 3 and 6 on the number line.
Adding and Subtracting Integers
5.Calculate: −5 + 8.
6.Calculate: −6 + (−7).
7.Calculate: 9 + (−4).
8.Calculate: 2 − 9.
9.Calculate: −8 − (−3).
10.Calculate: −4 − 7.
11.True or false: subtracting a negative integer has the same effect as adding a positive integer. Give a numerical example to support your choice.
TrueFalse
Integer Operations in Context
12.At dawn, the temperature was −2°C. It fell by 7°C before midday. What was the temperature then? Write an integer calculation as well as the answer.
13.Ari's account is at −$12. She deposits $19. What is the new balance? Show an integer calculation.
14.A research submersible is 18 m below sea level. It rises 11 m, then descends 9 m. Find its position relative to sea level after both movements.
Integer Challenge
15.Find the missing integer: □ + (−6) = 2.
16.Find the missing integer: 5 − □ = −4.
17.Find the missing positive integer: −10 − (−□) = −4.
18.Select every expression whose value is −8.
- −5 + (−3)
- −11 − (−3)
- 4 − 12
- −6 − 2
- −13 + 6
19.A lift is on level −3. It travels up 8 levels, then down 10 levels. Write the calculation and state its final level.
20.Explain why 7 − (−4) gives the same result as 7 + 4. Include the answer to both calculations.
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