Question

The Product of a rational number and its multiplication inverse is always _____

Answer 1

Answer:

Rational number.

Step-by-step explanation:

Hope this may help you.

Answer 2

• The product of a rational number and its multiplicative inverse is always 1 (i.e. a rational number).

Reason :-

$\sf Assume \: \: a \: \: rational \: \: number \: \: as \: \: \blue {\frac{x}{y}} .$

$\rm Then, \: Its \: \: multiplicative \: \: inverse \\ \rm (or \: \: reciprocal) \: \: is \: \: \blue{\frac{y}{x} }.$

On multiplying the obtained fractions,

$\bf \frac{\cancel{x}}{\cancel{y}} \times \frac{\cancel{y}}{\cancel{x}} \: \: = > \large{ \red1} \\ \\ \bf (Here, \: same \: \: variables \: \: have \\ \bf cancelled \: \: each \: \: other.)$

• HOPE THIS SOLUTION HAS HELPED YOU