Question

if m is the reciprocal of a rational number n.then the difference of product of m&n and 1 is _______.1.mn,2.mn-1,3.0,4.not possible​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

If m is the reciprocal of a rational number n

TO DETERMINE

The difference of product of m & n and 1 is

CALCULATION

The reciprocal of a real number exists provided the number is non zero

Since reciprocal of n exists

$\sf{ \:So \: \: n \ne \: 0 \: }$

Now m is the reciprocal of a rational number n

So

$\displaystyle \: \sf{m = \frac{1}{n} }$

$\implies \: \displaystyle \: \sf{mn = 1 }$

$\implies \: \displaystyle \: \sf{mn - 1 = 0}$

Hence the difference of product of m & n and 1 is

$= \sf{mn - 1 = 0 \: }$

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