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Negative Number Operations

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Negative Number Operations

Number line with negative and positive numbers

🎯 WALT: Add, subtract, multiply, and divide negative numbers accurately

Part 1: Basic Operations

1. Calculate the following additions and subtractions:

a) (-5) + (-3) = _____

b) (-8) + 12 = _____

c) 7 - (-4) = _____

d) (-6) - (-9) = _____

2. Calculate the following multiplications and divisions:

a) (-4) × (-7) = _____

b) (-3) × 8 = _____

c) (-20) ÷ (-5) = _____

d) 18 ÷ (-6) = _____

3. Which statement about multiplying negative numbers is correct?

Negative × Negative = Negative

Negative × Negative = Positive

Negative × Positive = Positive

It depends on the size of the numbers

Part 2: Real-World Problems

4. Temperature Problem:

The temperature in Queenstown was -3°C at midnight. It dropped by 4°C by 6am, then rose by 7°C by noon. What was the temperature at noon?

Answer: _____°C

5. Bank Account Problem:

Sarah's account was overdrawn by $45 (which means -$45). She made three withdrawals of $12 each. What is her account balance now?

Answer: $_____

6. Explain why subtracting a negative number increases the value. Use an example in your explanation.

Part 3: Challenge Questions

7. Complete this number pattern:

12, 6, 0, _____, _____, -12

8. Extension: Calculate: (-2) × 3 + (-4) ÷ (-2) - (-5)

Answer: _____

9. A submarine starts at sea level (0 metres). It descends 15 metres, then descends another 8 metres, then rises 12 metres. What is its final depth?

Answer: _____ metres

Success Criteria - I can:

☐ Add and subtract negative numbers correctly

☐ Multiply and divide negative numbers correctly

☐ Explain why two negatives make a positive

☐ Solve real-world problems using negative numbers

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