If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .

x

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y

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\frac{x}{y}

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\frac{y}{x}

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Solution

The correct option is A $x$
If y is the reciprocal of a rational number x, then $y = \frac{1}{x}$
Now, multiplicative inverse of y is $y^{- 1}$ .
Here, $y^{- 1} = \frac{1}{y} = \frac{1}{\frac{1}{x}} = x$
$∴$ multiplicative inverse of y is x.

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Question 11
If x + 0 = 0 + x = x, which is rational number, then 0 is called:
(a) identity for addition of rational numbers.
(b) additive inverse of x.
(c) multiplicative inverse of x.
(d) reciprocal of x.

Question 20
If y is the reciprocal of rational number x, then the reciprocal of y will be
(a) x
(b) y
(c) $\frac{x}{y}$
(d) $\frac{y}{x}$

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If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .

The correct option is A xIf y is the reciprocal of a rational number x, then y=1x Now, multiplicative inverse of y is y−1. Here, y−1=1y=11x=x ∴ multiplicative inverse of y is x.

The correct option is A $x$
If y is the reciprocal of a rational number x, then $y = \frac{1}{x}$
Now, multiplicative inverse of y is $y^{- 1}$ .
Here, $y^{- 1} = \frac{1}{y} = \frac{1}{\frac{1}{x}} = x$
$∴$ multiplicative inverse of y is x.