## Chapter 1 Rational Numbers Exercise 1.2

**Question 1: Represent these numbers on the number line.**

(i) 7/4

Answer:

(i) 7/4

Answer:

**(ii) -5/6**

Answer:

Answer:

**Question 2: Represent -2/11, -5/11, -9/11 on a number line.**

Answer:

Answer:

**Question 3: Write five rational numbers which are smaller than 2.**

Answer:

Answer:

2 = 2/1 × 10/10 = 20/10

= 0/10, 5/10, 7/10, 11/10, 15/10

**Question 4: Find the rational numbers between -2/5 and 1/2.**

Answer:

Answer:

-2/5 and 1/2

LCM of 2, 5 = 10

-2/5 × 2/2 = -4/10

1/2 × 5/5 = 5/10

= -4/10 × 10/10 = -40/100

= 5/10 × 10/10 = 50/100

= -40/100, -39/100, -38/100, -37/100, -36/100, -35/100, -34/100, 0/100, 10/100, 20/100, 30/100, 50/100

**Question 5: Find five rational numbers between.**

(i) 2/3 and 4/5

Answer:

(i) 2/3 and 4/5

Answer:

2/3 and 4/5

LCM of 3, 5 = 15

2/3 × 5/5 = 10/15

4/5 × 3/3 = 12/15

= 10/15 × 10/10 = 100/150

= 12/15 × 10/10 = 120/150

= 101/150, 102/150, 103/150, 104/150, 105/150

**(ii) -3/2 and 5/3**

Answer:

Answer:

-3/2 and 5/3

LCM of 2, 3 = 6

-3/2 × 3/3 = -9/6

5/3 × 2/2 = 10/6

= -9/6 × 10/10 = -90/60

= 10/6 × 10/10 = 100/60

= -89/60, -88/60, -87/100, -86/100, -85/100

**(iii) 1/4 and 1/2**

Answer:

Answer:

1/4 and 1/2

LCM of 2, 4 = 8

1/4 × 2/2 = 2/8

1/2 × 4/4 = 4/8

= 2/8 × 10/10 = 20/80

= 4/8 × 10/10 = 40/80

= 39/100, 38/100, 37/100, 36/100, 35/100

**Question 6: Write five rational numbers greater than -2.**

Answer:

Answer:

-2/1 × 10/10 = -20/10

= -19/10, -18/10, -17/10, -16/10, -15/10

**Question 7: Find ten rational numbers between 3/5 and 3/4.**

Answer:

Answer:

LCM of 4, 5 = 20

3/5 × 4/4 = 12/20

3/4 × 5/5 = 15/20

= 12/20 × 10/10 = 120/200

= 15/20 × 10/10 = 150/200

= 121/200, 122/200, 123/200, 124/200, 125/200, 126/200, 127/200, 128/200, 129/200, 130/200

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