Contents

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

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 1 |

Chapter Name |
Rational Numbers |

Exercise |
Ex 1.1, Ex 1.2 |

Number of Questions Solved |
18 |

Category |
NCERT Solutions |

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

### Chapter 1 Rational Numbers Exercise 1.1

**Question 1.**

Using appropriate properties find. 5

**Solution:**

**Question 2.**

Write the additive inverse of each of the following:

**Solution:**

**Question 3.**

Verify that – (-x) = x for:

(i)

(ii) .

**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)** Existence of multiplicative identity.

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

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

**Question 6.**

Multiply by the reciprocal of .

**Solution:**

**Question 7.**

Tell what property allows you to compute.

**Solution:**

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

**Question 8.**

Is the multiplicative inverse of – 1 ? Why or why not?

**Solution:**

No, is not the multiplicative inverse of -1 .

Because .

**Question 9.**

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

**Solution:**

Yes, 0.3 is multiplicative inverse of 3.

Because .

**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.

**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 ≠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)**

**(iv)** x,

**(v)** rational number,

**(vi)** positive.

### Chapter 1 Rational Numbers Exercise 1.2

**Question 1.**

Represent these numbers on the number line.

**(i)**

**(ii)**

**Solution:**

**(i)** For , we make 7 markings of distance each on the right of zero and starting from 0. The seven marking is .

The point P represents the rational number —.

**(ii)** For , we make 5 markings of distance each on the left of zero and starting from 0. The fifth marking The point P represents the 6 rational number .

**Question 2.**

Represent on the number line.

**Solution:**

To represent on a number line, draw a number line and mark a point O on it to represent zero. Now, mark a point P representing integers -1 on the left side of O on the number line.

Divide the segment OP into eleven equal parts. Let A, B, C, D, E, F, G, H, I, J be the points of division so that OA=AB =BC = … = JP. By construction, OB is two-eleventh of OP so B represents OE is five-eleventh of OP so E represents and OI is nine-eleventh of OP so I represents .

**Question 3.**

Write five rational numbers, which are smaller than 2.

**Solution:**

Five rational numbers less than 2 may be taken

(There can be many more such rational numbers.)

**Question 4.**

Find ten rational numbers between and .

**Solution:**

Converting the given rational numbers with the same denominators

**Question 5.**

Find five rational numbers between

**Solution:**

**(i)** Converting the given rational numbers with the same denominators

**(ii)** Converting the given rational numbers with the same denominators

**(iii)** Converting the given rational numbers with the same denominators

**Question 6.**

Write five rational numbers greater than – 2.

**Solution:**

Five rational numbers greater than -2 may be taken as

There can be many more such rational numbers.

**Question 7.**

Find ten rational numbers between and .

**Solution:**

Converting the given rational numbers with the same denominators

We hope the NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers help you. If you have any query regarding NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers, drop a comment below and we will get back to you at the earliest.

## Leave a Reply