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Integer Operations Practice

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Integer Operations Practice

Integer operations illustration

🎯 WALT: Add, subtract, multiply, and divide integers

Success Criteria: I can solve integer problems using number lines, counters, and inverse operations.

Part 1: Addition and Subtraction

1. Calculate these integer additions and subtractions:

a) 8 + (-5) = _____

b) -12 + 7 = _____

c) 6 - (-4) = _____

d) -3 - 8 = _____

2. The temperature in Queenstown was -4°C in the morning. It rose by 9°C during the day. What is the afternoon temperature?

Answer: _____ °C

3. Which calculation gives the answer -7?

-3 + (-4)

-15 + 8

2 - 9

-10 - (-3)

Part 2: Multiplication and Division

4. Complete these integer multiplications:

a) 4 × (-6) = _____

b) (-3) × (-5) = _____

c) (-7) × 2 = _____

5. Use division as the inverse of multiplication to solve:

a) -24 ÷ 6 = _____

b) -35 ÷ (-7) = _____

c) 18 ÷ (-3) = _____

6. A submarine descends 15 metres every minute for 4 minutes. If sea level is 0 metres, what is the submarine's final depth?

Answer: _____ metres

7. Which rules for integer multiplication are correct? (Tick all that apply)

Positive × Positive = Positive

Negative × Negative = Negative

Positive × Negative = Negative

Negative × Positive = Positive

Part 3: Problem Solving

8. A bank account has a balance of -$45. After three equal deposits, the balance becomes $30. How much was each deposit?

Each deposit: $______

9. Explain in your own words why (-4) × (-3) = 12 using the idea of repeated addition or subtraction.
10. Extension Challenge: If a × b = -20 and both a and b are integers, list three possible pairs of values for a and b.

Pair 1: a = _____, b = _____

Pair 2: a = _____, b = _____

Pair 3: a = _____, b = _____

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