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Integer Operations Mastery

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Integer Operations Mastery

Number line with positive and negative integers

📊 Part 1: Number Line and Ordering

1. Order these integers from smallest to largest: -8, 3, -2, 0, 7, -10
2. Which inequality symbol (<, >, or =) makes this statement true?

-15 _____ -7

3. On a number line, if you start at -4 and move 6 places to the right, where do you end up?

-10

2

-2

10

4. The temperature in Queenstown was -3°C in the morning. By afternoon it had risen by 8°C. What was the afternoon temperature?

🧮 Part 2: Integer Operations

5. Calculate: (-7) + 12 =
6. Calculate: 5 - (-9) =
7. Calculate: (-6) × (-4) =
8. Calculate: (-48) ÷ 8 =
9. Use the distributive property to solve: -3 × (5 + (-2))
10. Sarah's bank account was overdrawn by $45. She then made three withdrawals of $12 each. What is her new account balance?

💭 Part 3: Reasoning and Problem Solving

11. Explain why (-5) × (-3) = 15. Use mathematical reasoning in your answer.
12. A submarine starts at sea level (0 metres). It descends 150 metres, then rises 85 metres, then descends another 40 metres. What is its final depth?

Final depth: _________ metres

13. Complete this number pattern and explain the rule:

12, 7, 2, -3, _____, _____

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