Question

(a)
بده
3
So, 8 x 4
Thus, -> 11
Step 3. Next, we convert them into equivalent rational numbers with LCM as their common denominator.
Step 4: Finally, we compare their numerators.
Example 3:
Compare the following rational numbers:
and
(b) and
8
Solution:
(a)
and LCM of 9 and 4 is 36. (b) and LCM of 7 and 13 is 91.
-9
7
6 x 13 78
-8x4 -32
So,
9x4
7 7x13 91
36
77
-3x9
11
and
-27
and
4x9 36
13 13 x 7
Since, -32 < -27
Since, 78 > 77
11
Thus, <3 Aus
13
Note: Two numbers can also be compared as
if ad > bc
(1) a
co
if ad <bc
(W) 6 = if ad=bc
Example 4: Compare 79 and
12
Solution:
-12
We know 12 -12
-17
17
-15 -12
17
So,
-15 x 17 == -255 and 19 x (-12) = -228
Since, (-255) < (-228), hence 15 < 12 Ans.
and =12
-15-13
Example 5: Arrange3 7o in ascending order.
Only has negative denominator. So 3 - 7
Solution:
2 2 7 10
4 1 7 5
LOM = 2x4x7 x 5 = 250
Now, LCM of 8, 2, 7 and 10 is 280.
-105
8 x 35 280
-11 - 11 x 140 -1.540
2 x 140 280
Since, -1.540 <-120 < -105 < 196
3
7
-3 x 40
7 x 40
7 x 28
10 X 28
- -11x140
- 120
280
196
280
10
Thus,
10
Absolute value of a rational number
in absolute value, negative rational number is converted to its opposite (positive rational number whereas
ositive rational number remains the same. The symbol used for absolute value is IL
Sample 6: Evaluate the following:
fo
(b)​

Answer 1

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