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

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1
are the part of NCERT Solutions for Class 8 Maths. Here you can find the NCERT
Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1.

**Ex 1.1 Class 8 Maths Question 1.**

Using appropriate properties find:

**Solution:**

**Ex 1.1 Class 8
Maths Question 2.**

Write the additive inverse of each of the following:

**Solution:**

**Ex
1.1 Class 8 Maths Question 3.**

Verify that – (–x) = x for:(i) x = 11/15

(ii) x = −13/17

**Solution:**

**Ex 1.1 Class 8
Maths Question 4.**

Find the multiplicative inverse of the following:

**Solution:**

**Ex 1.1 Class 8 Maths Question
5.**

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

**Solution:**

**(i)** Multiplicative
identity of a rational number.

**(ii)** Commutative
property of multiplication.

**(iii)** Multiplicative
inverse of a rational number.

**Ex
1.1 Class 8 Maths Question 6.**

Multiply 6/13 by the
reciprocal of −7/16.

**Solution:**

**Ex
1.1 Class 8 Maths Question 7.**

Tell what property allows you to compute.1/3 × (6 × 4/3) as (1/3 × 6) × 4/3

**Solution:**

Associative property of multiplication of rational numbers allows us to
compute:

1/3 × (6 × 4/3) as (1/3 × 6) × 4/3

**Ex
1.1 Class 8 Maths Question 8.**

Is 9/8 the multiplicative
inverse of – 1^{1}/

_{8}? Why or why not?

**Solution:**

No, 9/8 is not the
multiplicative inverse of – 1^{1}/_{8}.

Because 8/9 × – 1^{1}/_{8 }= 8/9 × −9/8 = −1 ≠ 1.

**Ex
1.1 Class 8 Maths Question 9.**

Is 0.3 the multiplicative inverse of 3^{1}/

_{3}? Why or why not?

**Solution:**

Yes, 0.3 is multiplicative inverse of 3^{1}/_{3}.

Because 0.3 × 3^{1}/_{3 }= 3/10 × 10/3 = 1.

**Ex 1.1 Class 8
Maths 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)** Since
there is no rational number which when multiplied by 0, gives 1. Therefore, the
rational number 0 has no reciprocal.

**(ii)** Since
the reciprocal of 1 is 1 and the reciprocal of -1 is -1. Therefore, 1 and -1
are the only rational numbers which are equal to their reciprocals.

**(iii)** The
rational number that is equal to its negative is 0.

**Ex
1.1 Class 8 Maths 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 1/x, 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,
-1

**(iii)** −1/5

**(iv)** x

**(v)** rational
number

**(vi)** positive

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