Respuesta :

Answer:

Step-by-step explanation:

D. The addictive inverse is the opposite of whatever number you have.

Answer:

d. [tex]4\frac{1}{4}[/tex]

Step-by-step explanation:

Let x be the additive inverse of our given number.

We are asked to choose the correct option that represents the additive inverse of [tex]-4\frac{1}{4}[/tex].

Additive inverse of any number is the number that, when added to the number, yields zero.

By definition of additive inverse, when we will add x to [tex]-4\frac{1}{4}[/tex], we should get 0 as our answer. We can represent this information in an equation as:

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

Let us solve for x by adding [tex]4\frac{1}{4}[/tex] to both sides of our equation.

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

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

Therefore, additive inverse of [tex]-4\frac{1}{4}[/tex] is [tex]4\frac{1}{4}[/tex] and option d is the correct choice.

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