Integer Operations Practice

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📊 Part 1: Integer Operations

1. Calculate the following integer operations:

a) -7 + 12 = _____

b) 5 - (-3) = _____

c) -4 × 6 = _____

d) -18 ÷ (-3) = _____

2. The temperature in Queenstown was 8°C at noon. It dropped by 15°C overnight. What was the temperature in the morning?

3. Sarah has $45 in her bank account. She withdraws $60. What is her account balance?

4. Which operation shows the correct rule for multiplying integers?

Positive × Positive = Negative

Negative × Negative = Positive

Positive × Negative = Positive

Negative × Positive = Positive

5. A submarine starts at sea level (0 metres). It descends 45 metres, then rises 18 metres, then descends another 12 metres. What is its final depth?

6. Complete the pattern:

-15, -12, -9, _____, _____, 0, _____

7. Tom owes his brother $25. He pays back $10, then borrows another $8. How much does he owe now? Show your working using integer operations.

8. Check if this calculation is reasonable by using estimation:

-47 + 23 = -24

9. Use the distributive property to solve: -3 × (4 + (-7))

10. Create your own word problem involving integer operations that results in an answer of -12. Write the problem and show the solution.