NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

NCERT Solutions for Class 7 Maths Chapter 9

NCERT Solutions for Class 7 Maths Chapter 9: Physics Wallah experts have provided detailed solutions for NCERT Solutions for Class 7 Maths Chapter 9. This chapter is all about Rational Numbers, an important topic in math. These solutions are made simple and easy to understand. They show step-by-step how to do things like add, subtract, multiply, and divide rational numbers. They also explain how to represent these numbers on a number line and simplify fractions. With Physics Wallah help, students can understand rational numbers better and do well in their math studies.

NCERT Solutions for Class 7 Maths Chapter 9 PDF

NCERT Solutions for Class 7 Maths Chapter 9 PDF

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Exercise 9.1 Page: 182

1. List five rational numbers between:

(i) -1 and 0

Solution:-

(ii) -2 and -1

Solution:-

(iii) -4/5 and -2/3

Solution:-

(iv) -1/2 and 2/3

Solution:-

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

(i) -3/5, -6/10, -9/15, -12/20, …..

Solution:-

(ii) -1/4, -2/8, -3/12, …..

Solution:-

(iii) -1/6, 2/-12, 3/-18, 4/-24 …..

Solution:-

(iv) -2/3, 2/-3, 4/-6, 6/-9 …..

Solution:-

CBSE Admit Card 2024

3. Give four rational numbers equivalent to:

(i) -2/7

Solution:-

(ii) 5/-3

Solution:-

(iii) 4/9

Solution:-

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

(i) ¾

Solution:-

(ii) -5/8

Solution:-

(iii) -7/4

Solution:-

(iv) 7/8

Solution:-

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.

Solution:-

6. Which of the following pairs represents the same rational number?

(i) (-7/21) and (3/9)

Solution:-

(ii) (-16/20) and (20/-25)

Solution:-

(iii) (-2/-3) and (2/3)

Solution:-

CBSE Board Exam Centre List 2024

(iv) (-3/5) and (-12/20)

Solution:-

(v) (8/-5) and (-24/15)

Solution:-

(vi) (1/3) and (-1/9)

Solution:-

(vii) (-5/-9) and (5/-9)

Solution:-

7. Rewrite the following rational numbers in the simplest form:

(i) -8/6

Solution:-

(ii) 25/45

Solution:-

(iii) -44/72

Solution:-

(iv) -8/10

Solution:-

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

(i) -5/7 [ ] 2/3

Solution:-

(ii) -4/5 [ ] -5/7

Solution:-

Related Links -

(iii) -7/8 [ ] 14/-16

Solution:-

(iv) -8/5 [ ] -7/4

Solution:-

(v) 1/-3 [ ] -1/4

Solution:-

(vi) 5/-11 [ ] -5/11

Solution:-

(vii) 0 [ ] -7/6

Solution:-

9. Which is greater in each of the following:

(i) 2/3, 5/2

Solution:-

(ii) -5/6, -4/3

Solution:-

(iii) -3/4, 2/-3

Solution:-

(iv) -¼, ¼

Solution:-

10. Write the following rational numbers in ascending order:

(i) -3/5, -2/5, -1/5

Solution:-

(ii) -1/3, -2/9, -4/3

Solution:-

(iii) -3/7, -3/2, -3/4

Solution:-

1. Find the sum:

(i) (5/4) + (-11/4)

Solution:-

(ii) (5/3) + (3/5)

Solution:-

(iii) (-9/10) + (22/15)

Solution:-

(iv) (-3/-11) + (5/9)

Solution:-

(v) (-8/19) + (-2/57)

Solution:-

(vi) -2/3 + 0

Solution:-

(vii) +

Solution:-

2. Find the value of:

(i) 7/24 – 17/36

Solution:-

(ii) 5/63 – (-6/21)

Solution:-

(iii) -6/13 – (-7/15)

Solution:-

(iv) -3/8 – 7/11

Solution:-

(v) – – 6

Solution:-

3. Find the product:

(i) (9/2) × (-7/4)

Solution:-

(ii) (3/10) × (-9)

Solution:-

(iii) (-6/5) × (9/11)

Solution:-

(iv) (3/7) × (-2/5)

Solution:-

(v) (3/11) × (2/5)

Solution:-

(vi) (3/-5) × (-5/3)

Solution:-

4. Find the value of:

(i) (-4) ÷ (2/3)

Solution:-

(ii) (-3/5) ÷ 2

Solution:-

(iii) (-4/5) ÷ (-3)

Solution:-

(iv) (-1/8) ÷ 3/4

Solution:-

(v) (-2/13) ÷ 1/7

Solution:-

(vi) (-7/12) ÷ (-2/13)

Solution:-

(vii) (3/13) ÷ (-4/65)

Solution:-