Section 0.1
1. 2(4 + (−1))(2 ⋅ −4)
= 2(3)(−8) = (6)(−8) = −48
2. 3 + ([4 − 2] ⋅ 9)
= 3 + (2 × 9) = 3 + 18 = 21
3. 20∕(3 * 4) − 1
= 20
12 − 1 = 5
3 − 1 = 2
3
4. 2 − (3 * 4)∕10
= 2 − 12
10 = 2 − 6
5 = 4
5
5. 3 + ([3 + (−5)])
3 − 2 × 2
= 3 + (−2)
3 − 4 = 1
−1 = −1
6. 12 − (1 − 4)
2(5 − 1) ⋅ 2 − 1
= 12 − (−3)
16 − 1 = 15
15 = 1
7. (2 − 5 * (−1))∕1 − 2 * (−1)
= 2 − 5 ⋅ (−1)
1 − 2 ⋅ (−1)
= 2 + 5
1 + 2 = 7 + 2 = 9
8. 2 − 5 * (−1)∕(1 − 2 * (−1))
= 2 − 5 ⋅ (−1)
1 − 2 ⋅ (−1)
= 2 − −5
1 + 2 + 2 = 2 +
5
3 = 11
5
9. 2 ⋅ (−1)2
∕2 = 2 × (−1)2
2
= 2 × 1
2 = 2
2 = 1
10. 2 + 4 ⋅ 32 = 2 + 4 × 9 = 2 + 36 = 38
11. 2 ⋅ 42 + 1
= 2 × 16 + 1 = 32 + 1 = 33
12. 1 − 3 ⋅ (−2)2 × 2
= 1 − 3 × 4 × 2 = 1 − 24 = −23
13. 3^2+2^2+1
= 32 + 22 + 1 = 9 + 4 + 1 = 14
14. 2^(2^2-2)
= 2(22−2) = 24−2 = 22 = 4
15. 3 − 2(−3)2
−6(4 − 1)2
= 3 − 2 × 9
−6(3)2 = 3 − 18
−6 × 9
= −15
−54 = 5
18
16. 1 − 2(1 − 4)2
2(5 − 1)2 ⋅ 2
= 1 − 2(−3)2
2(4)2 ⋅ 2 = 1 − 2 × 9
2 × 16 × 2
= 1 − 18
64 = −17
64
17. 10*(1+1/10)^3
= 10(1 +
1
10)
3
= 10(1.1)3
= 10 × 1.331 = 13.31
18. 121/(1+1/10)^2
= 121
!1 + 1
10"
2 = 121
1.12
= 121
1.21 = 100
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