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.