Respuesta :

Answer:

The additive inverse of -4 and [tex]\frac{1}{4}[/tex] is 4 and [tex]\frac{-1}{4}[/tex]

Step-by-step explanation:

Given numbers -4 and [tex]\frac{1}{4}[/tex]

We have to find the additive inverse of the given numbers.

Additive inverse is the number added to a given number that the sum of number is equal to zero. that is [tex]a+(-a)=0[/tex]

For given number a = -4

Let number x is added to -4 so that result is 0

[tex]-4+(x)=0[/tex] ⇒ x = 4

Thus, additive inverse of -4 is +4.

For given number a = [tex]\frac{1}{4}[/tex]

Let additive inverse be x,

[tex]\frac{1}{4}+x=0[/tex]

⇒ [tex]x=\frac{-1}{4}[/tex]

Thus, additive inverse of [tex]\frac{1}{4}[/tex] is [tex]\frac{-1}{4}[/tex]

Thus, the additive inverse of -4 and [tex]\frac{1}{4}[/tex] is 4 and [tex]\frac{-1}{4}[/tex]

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