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]