The product of a rational number and its reciprocal is

Open in App

Solution

The multiplicative inverse of a number is a reciprocal of a number.
The reciprocal of $x$ is $\frac{1}{x}$
Let us assume the number as $12$
The multiplicative inverse is $\frac{1}{12}$
The product of a number and its multiplicative inverse is $= 12 \times \frac{1}{12}$
$= 1$
Hence $,$ The product of a number and its multiplicative inverse is $1$

Suggest Corrections

Similar questions

Fill in the blanks :
(i) The product of two positive rational numbers is always___
(ii) The product of two negative rational numbers is always___
(iii) If two rational numbers have opposite signs then their product is always___
(iv) The reciprocal of a positive rational number is ___ and the reciprocal of a negative rational number is___
(v) Rational number 0 has___ reciprocal.
(vi) The product of a rational number and its reciprocal is ___
(vii) The numbers ___and ___are their own reciprocals.
(viii) If M is reciprocal on N,then the reciprocal of N is___

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of $\frac{1}{a}, a \neq$ is __________________.