Respuesta :

Given:

A number is 400.

To find:

The additive inverse of 400.

Solution:

We know that the sum of a number and its additive inverse is 0.

If "a" is number and "b" is its additive inverse, then

[tex]a+b=0[/tex]

Let x be the additive inverse of 400. Then,

[tex]400+x=0[/tex]

Subtract both sides by 400.

[tex]400+x-400=0-400[/tex]

[tex]x=-400[/tex]

Therefore, the additive inverse of 400 is [tex]-400[/tex].

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