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Integer Operations Practice

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Integer Operations Practice

Number line with positive and negative integers

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

1. Calculate the following integer operations:

a) (-8) + 5 = _____

b) 7 - (-3) = _____

c) (-4) × (-6) = _____

d) (-15) ÷ 3 = _____

2. The temperature in Queenstown was -3°C at midnight. By noon it had risen 8°C. What was the temperature at noon?

Show your working: ________________________

Answer: ________°C

3. Which operation gives the correct answer? Circle your choice.

To find: (-2) × 4

Start at 0, move left 2 units, four times = -8

Start at 0, move right 2 units, four times = 8

Start at 0, move left 4 units, two times = -8

4. A submarine starts at sea level (0 metres). It descends 45 metres, then rises 18 metres. What is its final position?

Working: ________________________

Final position: ________ metres ____________ sea level

📊 WALT: Work with fractions and decimals involving negative numbers

5. Calculate these operations with fractions and decimals:

a) (-1/2) + (3/4) = _____

b) (-2.5) × 4 = _____

c) 6 ÷ (-1/3) = _____ (Hint: multiply by the reciprocal)

6. Explain why dividing by a fraction is the same as multiplying by its reciprocal:
7. Which properties are shown? Match each example to its property:

(-3) + 5 = 5 + (-3) →

Associative Property

(-2) × (3 + 4) = (-2) × 3 + (-2) × 4 →

Commutative Property

[(-1) + (-2)] + 3 = (-1) + [(-2) + 3] →

Distributive Property

🤔 WALT: Explain and justify integer operations

8. What happens when you divide by a number between 0 and 1? Use the example: 12 ÷ 0.5
9. Extension Challenge: A bank account has a balance of -$45.50. After three equal transactions, the balance becomes $16.50. What was each transaction amount?

Let x = each transaction amount

Equation: ________________________

Working: ________________________

Answer: Each transaction = $________

10. Reflection: Describe one real-life situation where you might use negative numbers and explain the operation you would need:

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