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2. Assertion (A): −11 > 23
52 −52
Reason (R): In a rational number, if denominator is same, then the rational number with the larger
numerator is greater.
9
3. Assertion (A): − is a rational number.
8
p
Reason (R): A number is said to be a rational number if it is written in the form of q , where p
and q both are whole numbers and q ≠ 0.
C. Match the Following.

Column A Column B
3 3
(a) ÷ (i) –1
4 4
1 4 −2
(b) ÷ (ii)
2 3 3
2 3
(
(c) ÷− 1) (iii)
3 2
3 1 3
(d) ÷ (iv)
4 2 8
5  − 5
(e) ÷   (v) 1
7  7 

D. Fill in the Blanks.
1. The rational number ............... is neither positive nor negative.

2. The reciprocal of    − 1   is .......................
2

p
3. The sum of rational number and its additive inverse is .......................
q
 −  3 1
4. The sum of    and 2 is .........................
 2

5. Negative rational numbers always lie to the ................... of zero.
E. Answer the Following.
1. Evaluate the following.
−2 3 1 5 11
(a) (x + y) × z, if x = , y = and z = (b) (x + y) ÷ (x – y), if x = and y =
5 4 − 2 − 8 12

6
2. Find three rational numbers between and 3.
− 7

−3
3. What number should be added to to get 15?
8
2 5 7
4. What number should be subtracted from the sum of and to get ?
5 2 10

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