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Integer Operations Mastery
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Integer Operations Mastery
📊 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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