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1 7 3 3 Try It Out!
10. (a) ≤ (b) =
10 10 25 25 8 1
2
(i) (ii)
3
11. 0 1 2 1 1,024
–1 –1 2 –1 1 3 Try It Out!
3 3 4 4 4
Thinking Skills (i) 1 (ii) 1 (iii) 1
12 − 3 b
2
1. (iv) (v) (vi) a –6
15 a
3
2. not necessarily, it depends on both the numerator as well Quiz
as the denominator
32 50
3. ` 1,856 1
4 Exercise 5.2
4. 207 runs
1. 2 2. 2 3. –2
7
–1
5. One should buy from Super market; Difference in price 4. (a) (–3) (b) 6 (c) 3 (d) (–5) 0
8
16
1
= ` (828 – 696) = ` 132
5. (a) F, a b ≠ (ab) (b) F, 8 > 9
m n
mn
Exemplar Problems
(c) T, a b = (ab) (d) T, a = 1 where a ≠ 0
n
0
n n
1. b 2. c 3. Simplest 4. True
1
5. False 6. 8 7. – 8. 2.25 m 6. (a) 343 (b) 25 (c) a b (d) 640
3 4
5 2 270
9. (a) (iii) (b) (v) (c) (i) (d) (ii) (e) (iv) 18
5
6
12 − 1 63 − 3 25
Chapter 5 7. (a) (b) (c) (d)
9
7
3 5
Exercise 5.1 − 3 1 − 2 6
8. (a) (b) (–3) (c) 5 –1 (d)
0
1. (a) 32 (b) 243 (c) 2,401 (d) 14,641 31 5
2. (a) 7 (b) 2 × 3 4 (c) x y z 2 1 − 1 27
3 2
5
2
9. (a) (b) 1,029 (c) (d)
3. (a) 2 × 5 (b) 2 × 3 × 5 (c) (–7) (d) 2 × 5 6 9 625 16 8,000
3
2
5
3
2
3
3
4. (a) 3 > 4 (b) (–2) < 1 (c) 3 > 5 (d) 2 > 6 2 10. 10 11. (a) 3 (b) 1 (c) 66 (d) 4
0
6
3
5
4
3
3
4
5. 1 = 1, 2 = 16, 3 = 81, 4 = 256, 5 = 625 6. 6 1 64 − 4 15
4
4
4
4
4
12. (a) (b) (c) (d)
7. (a) –500 (b) 3,888 (c) 30,375 81 729 15 2
8. (a) 2 × 3 (b) 2 × 5 (c) 2 × 5 × 11 (d) 2 11 Exercise 5.3
2
3
4
2
5
2
4
3
1
5
2
3 5 ( 5)− 6 ( 3)− 7 11 6 1. (a) 3 × 10 + 5 × 10 + 6 × 10 + 7 × 10 + 8 × 10 +
9. (a) (b) (c) (d) 0 × 10 0
5 5 9 6 5 7 22 6 6 5 4 3 2
3 3 3 3 2 9 − 5 4 − 5 4 ( 1)− 3 (b) 4 × 10 + 6 × 10 + 0 × 10 + 0 × 10 + 3 × 10 +
1
0
10. (a) = (b) 6 (c) 4 = 4 4 (d) 3 4 × 10 + 9 × 10
3
10 3 2 × 5 3 3 6 2 × 3 (5) (c) 3 × 10 + 5 × 10 + 7 × 10 + 9 × 10 + 1 × 10 +
2
6
4
3
5
Try It Out! 2 × 10 + 4 × 10 0
1
5
11
11
(i) 7 14 (ii) 10 2. (a) 2.2 × 10 (b) 4.89213476 × 10 (c) 6.532 × 10 –8
8 3. 31,622,400 seconds; 3.16224 × 10 seconds
7
Try It Out! 4. 9,460,800,000,000,000 m ; 9.4608 × 10 m
15
3
(i) 5 10 (ii) 5. 4,133.33 km ; 4.13333 × 10 km
3
7
12
25
Try It Out! 6. (a) 8.68 × 10 kg (b) 1.439 × 10 m
− 5 400 Review Exercises
(i) 2 12 (ii)
3 Multiple Choice Questions
Try It Out! 1. c 2. a 3. d 4. d
(i) 10 7 (ii) 1 5. c 6. b 7. c
331