Page 115 - Start Up Mathematics_4

Like fractions increase or decrease as their numerators increase or decrease.

2 1 3
Example 14: Arrange , and in ascending order.
4 4 4
1 2 3
Solution: Since 1 < 2 < 3, < < .
4 4 4
,
Example 15: Arrange 2 , 3 1 11 and 5 7 in descending order.
15 15 15 15
Solution: 3 1 = (3 × 15) + 1 = 46
15 15 15
5 7 = (5 × 15) + 7 = 82
15 15 15
Since 82 > 46 > 11 > 2, 82 > 46 > 11 > 2 .
15 15 15 15

So, 5 7 > 3 1 > 11 > 2 .
15 15 15 15

EXERCISE 8.3

1. Put the correct sign <, > or = in the box.

3 5 6 4 2 4 8 11
(a) (b) (c) 3 2 (d)
7 7 11 13 5 5 10 13

(e) 9 2 9 (f) 7 11 (g) 1 3 2 3 (h) 14 13
11 11 15 20 2 2 5 5
7
(i) 6 6 (j) 7 8 (k) 3 34 (l) 11 3 9
15 10 9 11 9 9 15 15
2. Tick the greatest fraction.

15 19 27 52 5 7 3 12 1 3 4 2
(a) , , , (b) , , , (c) 3 , 8 , 2 , 6
3 3 3 3 9 9 9 9 5 5 5 5
2 1 1 2 5 4 6 3 1 15 1 23
(d) 9 , 7 , 4 , 3 (e) 2 , 2 , 2 , 2 (f) 4 , , 3 ,
3 3 3 3 7 7 7 7 3 3 3 3
3. Arrange in ascending order.
7 2 5 4 3 8 5 9 2 1 5 4
(a) , , , (b) , , , (c) 6 , 3 , 5 , 2
9 9 9 9 7 7 7 7 7 7 7 7

6 11 12 13 8 15 13 11 3 8 5 9
(d) 2 , 4 , 7 , 5 (e) 7 , 7 , 7 , 7 (f) 7 , , 2 ,
15 15 15 15 19 19 19 19 13 13 13 13
4. Arrange in descending order.

(a) 3 7 , 7 2 , 5 5 , 4 11 (b) 3 , 4 , 1 , 2 (c) 2 4 , 5 7 , 10 7 , 6 9
12 12 12 12 11 11 11 11 10 10 10 10
5
(d) 8 , 12 , 11 , 6 (e) 9 5 , 9 7 , 9 10 , 9 8 (f) 4 3 , 29 , 3 , 2
13 13 13 13 11 11 11 11 6 6 6 6

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