__Class VIII, CBSE Mathematics__

**Chapter 1, Rational Numbers (NCERT Math Solutions)**

**Exercise 1.1 Solutions (Rational Numbers)**

Ans:

Ans:

(i) 1 is the multiplicative identity.

(ii) Commutativity

No, for multiplicative inverse, the product will be 1. But, here the product is not 1.

Q.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.

Ans:

(i) Zero has no reciprocal.

(ii) The reciprocals of 1 is 1. Therefore, 1 is the rational number which is equal to its reciprocal.

(iii) Zero is the rational number that is equal to its negative.

Q.11: Fill in the blanks.

(i) Zero has __________ reciprocal.

Ans: no

(ii) The numbers __________ and __________ are their own reciprocals

Ans: 1, -1

(v) The product of two rational numbers is always a __________.

Ans: rational number

(vi) The reciprocal of a positive rational number is __________.

Ans: positive rational number.

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