### Video Transcript

Find the additive inverse of the absolute value of seven over 39.

The absolute value of any number is the distance of the number from zero without considering which direction the number lies. This means that the absolute value must always be positive. The absolute value of seven over 39 or seven thirty-ninths is seven over 39. The additive inverse of a number is a number that when added to the given number gives zero. For example, the additive inverse of 𝑎 is negative 𝑎 as 𝑎 plus negative 𝑎 equals zero.

In this question, if we let the additive inverse equal 𝑥, then seven over 39 plus 𝑥 must equal zero. Subtracting seven over 39 from both sides of this equation gives us 𝑥 is equal to negative seven over 39. This means that the additive inverse of the absolute value of seven over 39 is negative seven over 39.