NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 1 |

Chapter Name |
Rational Numbers |

Exercise |
Ex 1.1 |

Number of Questions Solved |
11 |

Category |
NCERT Solutions |

## 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. 5

**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) \(x=\frac { 11 }{ 15 } \)

(ii) \(x=-\frac { 13 }{ 17 } \).

**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)** Existence of multiplicative identity.

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

**(iii)** Existence of multiplicative inverse.

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

Multiply \(\frac { 6 }{ 13 } \) by the reciprocal of \(\frac { -7 }{ 16 } \).

**Solution:**

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

Tell what property allows you to compute.

\(\frac { 1 }{ 3 } \times \left( 6\times \frac { 4 }{ 3 } \right) as\left( \frac { 1 }{ 3 } \times 6 \right) \times \frac { 4 }{ 3 } \)

**Solution:**

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

\(\frac { 1 }{ 3 } \times \left( 6\times \frac { 4 }{ 3 } \right) as\left( \frac { 1 }{ 3 } \times 6 \right) \times \frac { 4 }{ 3 } \)

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

Is \(\frac { 9 }{ 8 } \) the multiplicative inverse of – 1 \(\frac { 1 }{ 8 } \)? Why or why not?

**Solution:**

No, \(\frac { 9 }{ 8 } \) is not the multiplicative inverse of -1 \(\frac { 1 }{ 8 } \).

Because \(\frac { 8 }{ 9 } \times -1\frac { 1 }{ 8 } =\frac { 8 }{ 9 } \times \frac { -9 }{ 8 } =-1\neq 1\).

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

Is 0.3 the multiplicative inverse of 3\(\frac { 1 }{ 3 } \)? Why or why not?

**Solution:**

Yes, 0.3 is multiplicative inverse of 3\(\frac { 1 }{ 3 } \).

Because \(0.3\times 3\frac { 1 }{ 3 } =\frac { 3 }{ 10 } \times \frac { 10 }{ 3 } =1\).

**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)** We know that there is no rational number which when multiplied with 0, gives 1. Therefore, the rational number 0 has no reciprocal.

**(ii)** We know that the reciprocal of 1 is 1 and the reciprocal of -1 is -1. 1 and -1 are the only rational numbers which are their own reciprocals.

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

**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 \(\frac { 1 }{ x } \), where ≠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)** \(\frac { -1 }{ 5 } \)

**(iv)** x,

**(v)** rational number,

**(vi)** positive.

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