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

## 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 – 11/8? Why or why not?

Solution:
No, 9/8 is not the multiplicative inverse of – 11/8.
Because 8/9 × – 11/8 = 8/9 × −9/8 = −1 1.

### Ex 1.1 Class 8 Maths Question 9.

Is 0.3 the multiplicative inverse of 31/3? Why or why not?

Solution:
Yes, 0.3 is multiplicative inverse of 31/3.
Because 0.3 × 31/3 = 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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