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:

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• 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.