The document NCERT Solutions Chapter 9 - Rational Numbers, Maths, Class 7 | EduRev Notes is a part of the Class 7 Course Mathematics (Maths) Class 7.

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**Exercise 9.1**

**Question 1:**

**List five rational numbers between:**

**(i) -1 and 0 (ii) -2 and - 1**

**(iii)** **(iv)**

**Answer 1: **

**(i) -1 and 0 Let us write -1 and 0 as rational numbers with denominator 6.**

Therefore, five rational numbers between -1 and 0 would be

(ii) -2 and -1

Let us write -2 and -1 as rational numbers with denominator 6.

Therefore, Five rational numbers between -2 and -1 would be

(iii)

Let us write as rational numbers with the same denominators.

Therefore, five rational numbers between would be

**(iv)**

Let us write as rational numbers with the same denominators.

Therefore, five rational numbers between would be

**Question 2: **

**Write four more rational numbers in each of the following patterns:** ** **

(i)** **

(ii)** **

(ii)

(iii)

**Answer 2: **

Therefore, the next four rational numbers of this pattern would be

(ii)

Therefore, the next four rational numbers of this pattern would be

(iii)

Therefore, the next four rational numbers of this pattern would be

(iv)

Therefore, the next four rational numbers of tins pattern would be

**Question 3:**

**Give four rational numbers equivalent to:**

(i) -2/7

(ii) 5/-3

(iii) 4/9

(iv) -2/7

**Answer 3:**

Therefore, four equivalent rational numbers are

(ii) 5/-3

Therefore, four equivalent rational numbers are

(iii) 4/9

Therefore, four equivalent rational numbers are

**Question 4: **

**Draw the number line and represent the following rational numbers on it: **

**(i) 3/4 (ii) -5/8 (iii) -7/4 (iv) 7/8**

**Answer 4: **

**(i) 3/4**

(ii) -5/8

(iii) -7/4

(iv) 7/8

**Question 5: **

**The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S. **

**Answer 5: **

Therefore,

Similarly

Thus, the rational numbers represented P, Q, R and S are respectively.

**Question 6: **

**Which of the following pairs represent the same rational numbers: **

**(i) (ii) (iii) (iv) (v) (vi) (vii) **

**Answer 6: **

(i)

[Converting into lowest term]

(ii)

[Converting into lowest term]

(iii)

[Converting into lowest term]

(iv)

[Converting into lowest term]

(v)

[Converting into lowest term]

(vi)

[Converting into lowest term]

(vii)

[Converting into lowest terra]

**Question 7:**

**Rewrite the following rational numbers in the simplest form:**

**(i) -8/6 (ii) 25/45 (iii) -44/72 (iv) -8/10**

**Answer 7:**

**(i) ** [H.C.F. of 8 and 6 is 2]**(ii)** [H.C.F. of 25 and 45 is 5]**(iii)** [H.C.F. of 44 and 72 is 4]**(iv) ** [H.C.F. of 8 and 10 is 2]

**Question 8: **

**Fill in the boxes with the correct symbol out of <, > and =:**

**(i) ****(ii)** **(iii) ****(iv)** **(v) ****(vi)** **(vii)**

**Answer 8: **

**(i) ** Since, the positive number if greater than negative number.

**(ii)** **(iii) ****(iv) ****(v)** **(vi)** **(vii) ** Since, 0 is greater than every negative number.

**Question 9: **

**Which is greater in each of the following: **

**(i) ****(ii) (iii) (iv) (v) **

**Answer 9: **

(iv) Since positive number is always greater than negative number.

(v)

**Question 10: **

**Write the following rational numbers in ascending order: **

**Answer 10: **

(i)

(ii) [Converting into same denominator!

(iii)

**Exercise 9.2 **

**Question 1: **

**Find the sum: **

**(i) (ii) (iii) (iv) (v) (vi) (vii) **

**Answer 1: **

(i)

(ii) [L.C.M. of 3 and 5 is 15]

(iii) [L.C.M of 10 and 15 is 30]

(iv) [L.C.M. of 11 and 9 is 99]

(v) [L.C.M. of 19 and 57 is 57]

(vi)

[L.C.M. of 3 and 5 is 15]

**Question 2: **

**Find: **

**(i) (ii) (iii) (iv) **

**Answer 2: **

**(i) ** [L.C.M. of 24 and 36 is 72|

(ii) [L.C.M of 63 and 21 is 63|

(iii) [L.C.M.ofl3 and 15 is 195]

(iv) [L.C.M. of 8 and 11 is 88]

(v) [L.C.M. of 9 and 1 is 9]

**Question 3: **

**Find the product: **

(i)

(ii)

(iii)

(iv)

(v)

(vi)

**Answer 3:**

**(i) **

**(ii) **

**(iii) **

**(iv) **

**(v) **

**(vi) **

**Question 4: **

**Find the value of: **

**(i) **

**(ii) **

**(iii) **

**(iv) **

**(v) **

**(vi) **

**(vii) **

**Answer 4: **

**(i) **

**(ii) **

**(iii) **

**(iv) **

**(v) **

**(vi) **

**(vii) **

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