## NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

- Class 8 Maths Rational Numbers Exercise 1.1
- Class 8 Maths Rational Numbers Exercise 1.2
- Rational Numbers Class 8 Extra Questions

**NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.1**

Question 1.

Using appropriate properties find:

Solution:

Question 2.

Write the additive inverse of each of the following:

(i)

(ii)

(iii)

(iv)

(v)

Solution:

Question 3.

Verify that -(-x) = x for

(i) x =

(ii) x =

Solution:

Question 4.

Find the multiplicative inverse of the following:

Solution:

Question 5.

Name the property under multiplication used in each of the following:

Solution:

(i) Commutative property of multiplication

(ii) Commutative property of multiplication

(iii) Multiplicative inverse property

Question 6.

Multiply by the reciprocal of .

Solution:

Question 7.

Tell what property allows you to compute

Solution:

Since a × (b × c) = (a × b) × c shows the associative property of multiplications.

Question 8.

Is the multiplicative inverse of -1? Why or Why not?

Solution:

Here -1 = .

Since multiplicative inverse of is but not

is not the multiplicative inverse of -1

Question 9.

If 0.3 the multiplicative inverse of 3? Why or why not?

Solution:

Multiplicative inverse of 0.3 or is .

Thus, 0.3 is the multiplicative inverse of 3.

Question 10.

Write:

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Solution:

(i) 0 is the rational number which does not have its reciprocal

[∵ is not defined]

(ii) Reciprocal of 1 = = 1

Reciprocal of -1 = = -1

Thus, 1 and -1 are the required rational numbers.

(iii) 0 is the rational number which is equal to its negative.

Question 11.

Fill in the blanks.

(i) Zero has ……….. reciprocal.

(ii) The numbers ……….. and ……….. are their own reciprocals.

(iii) The reciprocal of -5 is ………

(iv) Reciprocal of , where x ≠ 0 is ……….

(v) The product of two rational numbers is always a …………

(vi) The reciprocal of a positive rational number is ……….

Solution:

(i) no

(ii) -1 and 1

(iii)

(iv) x

(v) rational number

(vi) positive

### Class 8 Maths NCERT Solutions – All Chapters

- Chapter 1 Rational Numbers
- Chapter 2 Linear Equations in One Variable
- Chapter 3 Understanding Quadrilaterals
- Chapter 4 Practical Geometry
- Chapter 5 Data Handling
- Chapter 6 Squares and Square Roots
- Chapter 7 Cubes and Cube Roots
- Chapter 8 Comparing Quantities
- Chapter 9 Algebraic Expressions and Identities
- Chapter 10 Visualising Solid Shapes
- Chapter 11 Mensuration
- Chapter 12 Exponents and Powers
- Chapter 13 Direct and Indirect proportions
- Chapter 14 Factorisation
- Chapter 15 Introduction to Graphs
- Chapter 16 Playing with Numbers

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ANIKET SEHGAL says

June 17, 2019 at 4:27 pmREALLY HELPFUL