Solutions Section 0.1 Section 0.1
1. 2(4 + (β1))(2 β β4) = 2(3)(β8) = (6)(β8) = β48
2. 3 + ([4 β 2] β 9) = 3 + (2 Γ 9) = 3 + 18 = 21
3. 20β(3 * 4) β 1 = 20 β 1 = 53 β 1 = 23 12
4. 2 β (3 * 4)β10 = 2 β 12 = 2 β 65 = 45 10
5.
3 + ([3 + (β5)]) 3β2Γ2 3 + (β2) 1 = = = β1 3β4 β1
7. (2 β 5 * (β1))β1 β 2 * (β1) 2 β 5 β (β1) = β 2 β (β1) 1 2+5 = +2=7+2=9 1
6.
12 β (1 β 4) 2(5 β 1) β 2 β 1 12 β (β3) 15 = = =1 16 β 1 15
8. 2 β 5 * (β1)β(1 β 2 * (β1)) 5 β (β1) =2β 1 β 2 β (β1) 5 11 β5 =2β +2=2+ = 1+2 3 5
2 Γ (β1) 2 2 2Γ1 2 = = =1 2 2
10. 2 + 4 β 3 2 = 2 + 4 Γ 9 = 2 + 36 = 38
11. 2 β 4 2 + 1 = 2 Γ 16 + 1 = 32 + 1 = 33
12. 1 β 3 β (β2) 2 Γ 2 = 1 β 3 Γ 4 Γ 2 = 1 β 24 = β23
13. 3^2+2^2+1 = 3 2 + 2 2 + 1 = 9 + 4 + 1 = 14
14. 2^(2^2-2)
9. 2 β (β1) 2β2 =
15.
3 β 2(β3) 2 β6(4 β 1) 2 3 β 2 Γ 9 3 β 18 = = β6 Γ 9 β6(3) 2 5 β15 = = β54 18
17. 10*(1+1/10)^3 1 3 = 10(1 + ) = 10(1.1) 3 10 = 10 Γ 1.331 = 13.31
2
= 2 (2 β2) = 2 4β2 = 2 2 = 4
16.
1 β 2(1 β 4) 2 2(5 β 1) 2 β 2 1 β 2(β3) 2 1β2Γ9 = = 2 Γ 16 Γ 2 2(4) 2 β 2 1 β 18 17 = =β 64 64
18. 121/(1+1/10)^2 121 121 = = 2 1 1.1 2 !1 + " 10
121 = = 100 1.21