Question

Write two rational numbers whose multiplicative inverse is same as they are.​

Answer 1

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Answer 2

-1 and 1 are the two rational numbers whose multiplicative inverse is same as they are

Definition of rational numbers:

Rational number,in arithmetic, a number that can be represented as the quotient $\frac{p}{q}$ of two integers such that $q\neq 0$.In addition to all the fractions,the set of rational numbers includes all the integers,each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Definition of multiplicative inverse:

Multiplicative inverse of a number is a value which when multiplied by the orginal number results in 1.It is the reciprocal of a number.

Example: consider a number 15,whose multiplicative inverse is $\frac{1}{15}$(reciprocal of a given number) ,when they are multiplied ($15*\frac{1}{15}=1$) yields 1.

Step-by-step explanation:

• -1 and 1 are the number whose multiplicative inverse are same as that of the given number.
• Multiplicative inverse of -1 is $\frac{1}{-1}$ which is equal to -1 (orginal number).
• Similarly,multiplicative inverse of 1 is $\frac{1}{1}$ which is equal to 1(orginal number)
• -1 and 1 are rational numbers too ,as they can be expressed in the form of $\frac{p}{q}$ that is $\frac{-1}{1}$ and $\frac{1}{1}$.

Therefore,1 and -1 are the two rational numbers whose multiplicative inverse is same as they are.