298 Appendix A
Chapter 4
- 51 is composite. 51 = 17 v 3
- 91 is composite. 91 = 13 v 7
- 173 is prime.
- 229 is prime.
- 5,229 is composite. 5,229 = 3 v 1,743 =
7 v 747 = 9 v 581 = 21 v 249 = 63 v 83 - 78 = 2 v 3 v 13
- 98 = 2 v 7 v 7
- 189 = 3 v 3 v 3 v 7
- 255 = 3 v 5 v 17
- 512 = 2 v 2 v 2 v 2 v 2 v 2 v 2 v 2 v 2
- 200 = 2^3 v 52
- 168 = 2^3 v 3 v 7
- 672 = 2^5 v 3 v 7
- 2,205 = 3^2 v 5 v 72
- 22,000 = 2^4 v 53 v 11
- GCF of 18 and 42 is 6.
- GCF of 42 and 70 is 14.
- GCF of 144 and 242 is 2.
- GCF of 630 and 945 is 315.
- GCF of 286 and 715 is 143.
- LCM of 14 and 35 is 70.
- LCM of 45 and 105 is 315.
- LCM of 286 and 715 is 1,430.
- LCM of 21 and 20 is 420.
- LCM of 88 and 66 is 264.
10. 250(1,000 – 400) = 250(600) = 150,000
11. |-19| = 19
12. |42| = 42
13. |0| = 0
14. |5 – 3| = |2| = 2
15. 7 + |5 – 3| = 7 + |2| = 9
16. -15 + 25 = 10
17. 19+ -12 = 7
18. -23 + 14 = -9
19. -58 + -22 = -80
20. 147 + -200 = -53
21. -17 – 4 = -17 + (-4) = -21
22. 39 – 24 = 39 + (-24) = 15
23. 26 – -12 = 26 + 12 = 38
24. -83 – 37 = -83 + (-37) = -120
25. -48 – -32 = -48 + 32 = -16
- -4 v 30 = -120
- 8 v -12 = -96
- -7 v 15 = -105
- -11 v -43 = 473
- -250 v 401 = -100,250
- 49 z -7 = -7
- -125 z -15 = 8, remainder 5
- -27 z 9 = -3
- 120 z -6 = -20
- -981 z -9 = 109