Page 62 - Mathematics of Business and Finance

42 Chapter 1 | Review of Basic Arithmetic

1.4 Exercises Answers to the odd-numbered problems are available at the end of the textbook.

Evaluate Problems 1 to 18 by following the order of operations (BEDMAS).
1. a. 32 + (9 – 5) 3 b. 4 × 6 ÷ 2 – 5

2. a. 45 – (5 + 7) 2 b. 18 – 8 ÷ 2 + 6
3. a. 200 ÷ (–10) ÷ 5 b. 20(5 – 22) + 5
2
4. a. 128 ÷ (–16) ÷ (–2) b. 9(13 – 3 ) + 4
5. a. (–1)(–3)(2)(–5)(–6) b. 112 – 4 × 54 ÷ (5 – 2)3 – 3
6. a. (–5)(–3)(12)(–3)(–1) b. 31 – [(15 ÷ 3) × 32 ÷ 22 × (26 ÷ 13)]

7. a. 3(72 + 2 × 15 ÷ 3) – (1 + 3 × 4)2 b. (12)(1)(–7)(4)(–2)
8. a. [(1 + 12)(1 – 5)]2 ÷ (5 + 3 × 22 – 4) b. (–8)(2)(3)(–4)(–1)

–52 + (56 ÷ 8) × 9 + 62 8 × 7 – 16 + 32 × 2
9. 10.
3 × (6 × 4 ÷ 8) + 157 – 112 25 – (59 – 72) ÷ 2 × 6

2
2
32 ÷ (–8) – 9 + (127 – 53) × 23 6 + (8 – 5) – (6 + 13)
11. 12.
[(–54) ÷ 6 + 33] ÷ [(–8) × (–3)] 60 ÷ 12 + [5 –(–2) × (–11)]
2
8{9 – (–2) – 7[4 + (–1)]} [(–6) × 7 + (–12) ÷ (–4) + 3] ÷ 6
13. –12 + 4[–4 – (–3)] ÷ 7 14. [(–24) ÷ 8 + 4] ÷ [14 – 16 + 3]

2(6) + 4 2(6 + 4) 16 + 4(3) (16 + 4)3
15. 24 – (7 + 3) + 24 – 7 + 3 16. 10 – 4 + 1 + 10 – (4 + 1)

17. 5(–4) – 3{(–9 + 6) + (–3) – 4[2(–1) –7]} 18. 14 – 3{[(6 – 9)(–4) + 12](–2)}
Evaluate the following exponents:
3 3 4 –2 2 2 1 –3
19. a. d n b. d n 20. a. d n b. d n
4 7 3 5
3 3 3 –3 2 5 2 –5
21. a. d n b. d n 22. a. d n b. d n
5 5 3 3
Evaluate the following problems and round your answer to two decimal places:
180 240
23. 600d1 + 0.002 × 365 n 24. 4500d1 + 0.005 × 365 n

3 7
25. 960d1 + 0.05 × n 26. 1500d1 + 0.04 × n
12 12

1250 2500
27. 160 28. 150
d1 + 0.02 × n d1 + 0.001 × n
365 365

2700 1800
29. 7 30. 5
d1 + 0.04 × n d1 + 0.05 × n
12 12
31. 1275(1.03) 7 32. 5400(1.005) 8