Integers Quiz Study Guide -­‐ Answers Define Integer an integer is a number expressible in the form a or –a for some whole number a. Absolute value the distance a value is from 0. Additive inverse two numbers who sum is 0 are additive inverses of one another (i.e. 3 and -­‐3). Evaluate 1. −30 + −5 = −35 2. 3 + 6 = 9 3. −14 − −2 = −14 + 2 = −12 Graph the integers then list them least to greatest. 4. −4, 7, − −5 , 0, 2 The numbers should be arranged -­‐4 , 0 , 2 , 5 , 7 on a number line 5. −6, 5, − −4 , − −1 , 3, 2 The numbers should be arranged -­‐6 , 1 , 2 , 3 , 4 , 5 on a number line 6. Show the value 535 three ways: Answers will vary, an example would be 545-­‐10=535. Integer Operations 7. – 5 + 6 = 1 9. – 8 𝑥 5 = −40 11. 4 − −4 = 8 8. – 15 + 20 = 5 10. – 6 + 5 + − −2 = 1 12. −8 ÷ −4 = 2 Greater than, less than or equal? 13. –45 < 45 14. – 6 + 5 < 7 − (−2) Applications 15. Rita deposited $25, spent $10 and then spent $5 more. How much money does Rita have now? 25 − 10 − 5 = 10 𝑑𝑜𝑙𝑙𝑎𝑟𝑠 16. Jaheem ran 80 yards, then got pushed back 15 yards, then ran 12 more yards. How far forward did he go? 80 − 15 + 12 = 77 𝑦𝑎𝑟𝑑𝑠