(d) Between any two distinct rational numbers, there are infinite rational numbers ____________.

(e) Between any two distinct integers, there is always an integer________.

(f) Between any two distinct rational numbers, there is always a rational number________.

(i) 20

(ii) – 30

(iii) 35

(iv) – 40

1. Express –48/60 as a rational number with denominator 5.

3. Find two rational numbers whose absolute value is 1/3 and 5/6 .

5. By what number should we multiply – 1/6 so that the product may be – 23/9 ?

6. The product of two rational numbers is 15. If one of the numbers is –10, find the other.

7. The cost of 2*1/3 metres of cloth is Rs.75*1/4 . Find the cost of cloth per metre.

8. The cost of 7*2/3 metres of rope is Rs.12*3/4 . Find its cost per metre.

9. The product of two rational numbers is —16/9 . If one of the numbers is – 4/5 , find the other.

10. Find a rational number between 1/4 and 1/3 .

11. Find two rational numbers between –2 and 2.

12. Find three rational numbers between – 7/2 and –2.

13. Find four rational number between 2/3 and 3/4 .

14. Find six rational numbers between –1 and 0.

15. Find ten rational numbers between –3/4 and 5/6 .

16. Insert ten rational numbers between –3/13 and 9/13.

17. Find any five rational numbers less than 2.

1. Express –48/60 as a rational number with denominator 5.

3. Find two rational numbers whose absolute value is 1/3 and 5/6 .

5. By what number should we multiply – 1/6 so that the product may be – 23/9 ?

6. The product of two rational numbers is 15. If one of the numbers is –10, find the other.

7. The cost of 2*1/3 metres of cloth is Rs.75*1/4 . Find the cost of cloth per metre.

8. The cost of 7*2/3 metres of rope is Rs.12*3/4 . Find its cost per metre.

9. The product of two rational numbers is —16/9 . If one of the numbers is – 4/5 , find the other.

10. Find a rational number between 1/4 and 1/3 .

11. Find two rational numbers between –2 and 2.

12. Find three rational numbers between – 7/2 and –2.

13. Find four rational number between 2/3 and 3/4 .

14. Find six rational numbers between –1 and 0.

15. Find ten rational numbers between –3/4 and 5/6 .

16. Insert ten rational numbers between –3/13 and 9/13.

17. Find any five rational numbers less than 2.

(i) 7/–8 , expressed as a rational number with denominator 24 = .......................

(ii) –4/7 ................... 4/–11 (<,>,=).

(iii) The absolute value of –16/–19 = ...............

(iv) The rational number which is neither positive nor negative is …………….. .

(i) 2/5

(ii) 8/–11

(iii) –5/9

(iv) –12/13

(i) – 11/5 and 4/7

(ii) 4/7 and 7/–12

(iii) – 3/5 and – 2/15

(iv) 2/–7 and 12/–35

(i) – 11/5 and 4/7

(ii) 4/7 and 7/–12

(iii) – 3/5 and – 2/15

(iv) 2/–7 and 12/–35

(i) 1/3

(ii) 17/9

(iii) 15/–4

(iv) –16/–5

(v) –8/–7

(i) 0 is its own additive inverse______ .

(ii) The additive inverse of – 21/–30 is –21/30 ______ .

(iii) To subtract c/d from a/b , we add the additive inverse of a/b to c/d ______ .

(iv) While subtracting three or more rational numbers they can be grouped in any order _________.

(v) Subtracting is commutative for rational numbers _________.

(i) –2/5

(ii) 7/–9

(iii) –5/1

(iv) – 1

(v) –16/13

− 25/104

(i) 4/9 from –1/6

(ii) 3/4 from 1/3

(iii) – 8/9 from – 3/5

(iv) 1/5 and 3/5

(i) 3/5 × –7/8

(ii) 25/–9 × 3/10

(iii) –2/5 and 10/–3

(iv) 16/–21 × 14/5

(v) – 2/24 × (–48)

(vi) – 2/3 × 6/7

(vii) – 7/6 × 24

(viii) – 6/11 × – 5/3

(i) – 9/11 by 22/63

(ii) 18/35 by –1*1/8

(iii) 6/7 by 2/3

(iv) 5*1/7 by –2*1/3

(i) –1/10 ÷ – 8/5

(ii) –12/7 ÷ (–18)

(iii) 4/9 ÷ – 3/12

(iv) –8 ÷ –17/16

(i) 7/18 by –14/51

(ii) 10/33 by 2/–11

(iii) 5/9 by 15

(iv) –18 by (–36)/37

(i) p = 2/5 , q = 1/2

(ii) p = 1/4 , q = 3/2

(iii) p = 5/4 , q = – 1/3

(iv) p = 2/7 , q = 4/3

(v) p = 2/3 , q = 3/2

(i) a = 1/8 , b = 7/12

(ii) a = –5/6 , b =– 2/5

(iii) a = 4/9 , b = 11/6

(a) – 29/48

(b) 15/48

(c) 29/48

(d) 21/28