Which number is the additive inverse of Negative 4 and one-fourth?
A. Negative 4 and one-fourth
B. Negative one-fourth
C. One-fourth
D. 4 and one-fourth
The additive inverse of a number is the number that, when added to the original number, equals zero.
The additive inverse of negative 4 and one-fourth is the number that, when added to negative 4 and one-fourth, equals zero.
To find the additive inverse, we need to find a number that, when added to negative 4 and one-fourth, gives zero.
Negative 4 and one-fourth + x = 0
To solve for x, we can subtract negative 4 and one-fourth from both sides:
x = 0 - (-4 and one-fourth)
= 0 + 4 and one-fourth
= 4 and one-fourth
Therefore, the additive inverse of negative 4 and one-fourth is 4 and one-fourth.
The correct answer is option D.