Question

write additive and multiplicative inverse of 5/2​

Answer 1

Answer:

-5/2

Step-by-step explanation:

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Answer 2

The additive inverse of $\frac{5}{2}$ is $-\frac{5}{2}$ and the multiplicative inverse of $\frac{5}{2}$ is $\frac{2}{5}$ .

Additive inverse - The value is the additive inverse of a number that, when added to the original number, yields a value of zero. It is the value we add to a number in order to get at zero. Considering that "$x$" is the initial number, its additive inverse will be the negative of, so that

⇒ $x+(-x)$

$=x-x$

$=0$

So, the given value is $\frac{5}{2}$

Let $x$ is the additive inverse.

Therefore,

$\frac{5}{2} +x=0$

⇒ $x=-\frac{5}{2}$

the additive inverse is $-\frac{5}{2}$ .

Multiplicative inverse

The reciprocal, commonly referred to as the multiplicative inverse, suggests the opposite. a reciprocal integer that, when multiplied by the original number, has a value equal to identity 1. Let's use the number "$x$" as an example; its multiplicative inverse is "$\frac{1}{x}$."

$x\times\frac{1}{x} =1$

So, the given number is $\frac{5}{2}$

⇒ $\frac{5}{2} \times\frac{1}{\frac{5}{2} }$

$=\frac{5}{2}\times\frac{2}{5}$

$=1$

Therefore, the multiplicative inverse is $\frac{2}{5}$ .

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