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Additive Inverses Exploration
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Additive Inverses Exploration
📚 Part 1: Finding Additive Inverses
1. Write the additive inverse for each number:
a) 8 → ______ b) -12 → ______ c) 3.5 → ______ d) -0.7 → ______
2. Complete these equations by finding the missing additive inverse:
a) 15 + ______ = 0 b) -9 + ______ = 0 c) 2.8 + ______ = 0
3. Which pairs are additive inverses? Circle the correct answers:
7 and -7
-4 and 4
6 and -8
-1.5 and 1.5
4. On the number line below, mark the number 5 and its additive inverse. Show how they "balance" to zero:
🌡️ Part 2: Real-World Applications
5. Temperature Problem: The temperature is -8°C. By how much must it rise to reach 0°C?
6. Money Problem: Sarah owes her brother $12 (represented as -12). She finds $12 in her pocket. Use additive inverses to explain what happens to her debt:
7. A submarine is 25 metres below sea level. It rises 25 metres. Write this as an addition equation using additive inverses:
Equation: _________________ = _______
8. Choose the best real-world example of additive inverses:
Earning $20 and spending $15
Going up 3 floors and down 3 floors
Adding 5 and multiplying by 2
Walking 10 metres east and 8 metres west
💭 Part 3: Explain Your Thinking
9. Explain in your own words: What is an additive inverse?
10. Why is zero called the "balance point" when working with additive inverses? Use an example to support your answer:
11. Create your own real-world problem that involves additive inverses and solve it:
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