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Mathematics · Year 8
Integers are whole numbers that can be positive, negative, or zero — think temperatures, bank balances, or sea level. Adding a negative number has the same effect as subtracting; subtracting a negative has the same effect as adding, since the two negative signs cancel out. Multiplying or dividing two negatives gives a positive; a positive and a negative gives a negative.
Example
4 − (−2) becomes 4 + 2 = 6. And −3 + (−5) becomes −3 − 5 = −8. If the temperature drops 3°C every hour for 4 hours, the total change is −3 × 4 = −12°C.
Key terms
Questions
1. 2 + 3 =
2. 5 − 2 =
3. −2 is what kind of number?
4. Which is greater?
5. 0 + (−3) =
6. 3 + (−1) =
7. −4 + 4 =
8. −3 + 5 =
9. 4 − (−2) =
10. −6 + (−2) =
11. −5 − 3 =
12. −2 − (−5) =
13. 7 + (−10) =
14. −8 + 3 =
15. The temperature drops 3°C every hour for 4 hours. What is the total change?
16. A submarine descends 20m every minute for 3 minutes. What is its depth relative to the surface?
17. −4 × 3 =
18. −20 ÷ 4 =
19. A business loses $50 a day for 6 days. What is the total change to its bank balance?
20. −15 ÷ (−3) =
21. 6 × (−7) =
Answer key (parent copy)