NCERT Solutions for Class 7 Maths Ch 9 Rational Numbers

NCERT Solutions for Class 7 Mathematics Chapter 9 Rational Numbers is helpful in knowing the important points of chapter. Given CBSE Class 7 Maths NCERT Solutions is very helpful in getting more marks and knowing application of formulas. NCERT Solutions provided here are prepared by Studyrankers experts who have in depth knowledge of the subject.

NCERT Solutions for Class 7 Maths Ch 9 Rational Numbers

Exercise 9.1

1. List five rational numbers between:
(i) -1 and 0
(ii) -2 and - 1
(iii) -4/5 and -2/3
(iv) -1/2 and 2/3

Answer

(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) -4/5 and -2/3
Let us write -4/5 and -2/3 as rational numbers with the same denominators.
Therefore, five rational numbers between -4/5 and -2/3 would be

(iv) -1/2 and 2/3
Let us write -1/2 and 2/3 as rational numbers with the same denominators.
Therefore, five rational numbers between -1/2 and 2/3 would be

2. Write four more rational numbers in each of the following patterns:
Answer

Therefore, four equivalent rational numbers are

(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

3. Give four rational numbers equivalent to:
(i) -2/7
(ii) 5/-3
(iii) 4/9
(iv) -2/7

Answer

(i)
Therefore, four equivalent rational numbers are

(ii) 5/-3
Therefore, four equivalent rational numbers are

(iii) 4/9
Therefore, four equivalent rational numbers are

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

(i) 3/4
(ii) -5/8

(iii)  -7/4


(iv) 7/8

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

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

6. Which of the following pairs represent the same rational numbers:
Answer

(i)

(ii)

(iii)

(iv)


(v)

(vi)

(vii)

7. Rewrite the following rational numbers in the simplest form:
(i) -8/6
(ii) 25/45
(iii) -44/72
(iv) -8/10

Answer


8. Fill in the boxes with the correct symbol out of <, > and =:
Answer

9. Which is greater in each of the following: 
Answer


10. Write the following rational numbers in ascending order: 
Answer


Exercise 9.2

1. Find the sum:
Answer

2. Find:
Answer

3. Find the product:
Answer


4. Find the value of: 

Answer

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