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# 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) **Rational number does not have a reciprocal**

0(zero) is the rational number that does not have a reciprocal as it is undefined (∞).

0/0 = undefined

(ii) **The rational number that are equal to its reciprocals**

The rational numbers 1 and -1 are equal to their respective reciprocals.

Reciprocal of 1 is 1/1 = 1, Reciprocal of -1 is 1/(-1) = -1

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

Rational number 0 is equal to its negative.

0 is neither a positive nor a negative number. Hence 0 is the same as -0.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 1

**Video Solution:**

## 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

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 10

**Summary:**

(i) The rational number that does not have a reciprocal is 0. (ii) The rational numbers that are equal to their reciprocals are 1 and -1. (iii) The rational number that is equal to its negative is 0.

**☛ Related Questions:**

- Using appropriate properties find: (i) -2/3 × 3/5 + 5/2 - 3/5 × 1/6 (ii) 2/5 × (-3/7) -1/6 × 3/2 + 1/14 × 2/5.
- Write the additive inverse of each of the following (i) 2/8 (ii) -5/9 (iii) -6/-5 (iv) 2/-9 (v) 19/-6.
- Verify that -(-x) = x for. (i) x = 11/15 (ii) x = -13/7
- Find the multiplicative inverse of the following (i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5 (vi) -1.

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