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**TRY THESE****Ques 1: ****Write the rational number for each point labelled with a letter.**

**Ans: **

(i) Here, the rational number for the point A is 1/5

The rational number for the point B is 4/5

The rational number for the point C is 5/5 or 1

The rational number for the point D is 8/5

The rational number for the point E is 9/5

(ii) The rational number for:

The point is F -2/6 or 1/3

The point G is -5/6

The point H is -7/6

The point I is -8/6 or -43

The point J is -11/6**EXERCISE 1.2 **

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

(i) 7/4

(ii) -5/6

**Ans:**

(i) To represent 7/4, we make 7 markings each of a distance equal to 1/4 on the right of 0. The 7th point represents the rational number 7/4 as shown in the figure.

The point A is 7/4

(ii) To represent (-5/6) on the number line, we make 5 markings each of a distance equal to 1/6 on the left of 0. We consider the 5th point as shown in the figure.

The point B represents (-5/6)

**Ques 2: ****Represent -2/11, -5/11, -9/11 on the number line.**

**Ans: **To represent -2/11, -5/11, -9/11 on a number line, we make 11 markings each being equal to distance 1/11 on the left of 0.

The point A represents (-2/11)

The point B represents (-5/11)

The point C represents (-9/11)

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

**Ans:** There can be unlimited rational numbers below 2.

Five of them are:

-1/2, -1, 0, 1/2, 1

**Ques 4:** **Find ten rational numbers between -2/5 and 1/2**

**Ans:** To convert -2/5 and 1/2 having the same denominators:

We have,

and,

âˆ´ The rational numbers between 10/20 and -8/20

We can take any 10 of them.

âˆ´ Ten rational numbers between -2/5 and 1/2 are:

9/20, 8/20, 7/20, 6/20, 5/20, 4/20, 3/20, 2/20, 1/20, 0

**Ques 5:**** Find five rational numbers between:**

(i) 2/3 and 4/5

(ii) -3/2 and 5/3

(iii) 1/4 and 1/3

**Ans: **

(i) Converting 2/3 and 4/5 having same denominators such that difference between the numerators is more than 5.

We have,

and,

Now, any five rational numbers between 40/60 and 48/60 are:

41/60, 42/60, 43/60, 44/60, 45/60

(ii) Converting -3/2 and 5/3 with same denominators

We have,

and,

âˆ´ Five rational numbers between -3/2 and 5/3 are:

9/6, 8/6, 7/6, 0, -7/6.

(iii) Converting 1/4 and 1/2 to rational numbers with the same denominators, we have

âˆ´ Five rational numbers between 1/4 and 1/2 are:

15/32, 14/32, 13/32, 12/32, 11/32.

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

**Ans: **Five rational numbers greater than -2 are:

-3/2, -1, -1/2, 0, 1/2.**Note: **There can be countless rational numbers greater than -2.

**Ques 7:** **Find ten rational numbers between 3/5 and 3/4****Ans: **Converting 3/5 and 3/4 such that they have common denominators and their numerators have a difference of more than 10, i.e.

and,

âˆ´ Ten rational numbers between 3/5 and 3/4 are

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