Question

The product of additive inverse and multiplicative inverse of minus 2 is

Answer 1

additive inverse of -2 is 2

multiplicative inverse of -2 is -1/2

product of the two numbers= 2 × -1/2 = -1

Answer 2

The product of additive inverse and multiplicative inverse of $-2$ is $-1$ .

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 to 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 $-2$

Let its additive inverse is $x$,

⇒ $-2+x=0$

$x=2$

Therefore, the additive inverse is $2$ .

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 $-2$

⇒ $-2\times\frac{1}{-2}$

$=1$

Therefore, the multiplicative inverse is $-\frac{1}{2}$ .

Hence, the product of additive inverse and multiplicative inverse of $-2$ is

⇒ $2\times-\frac{1}{2}$

$=-1$ .

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