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Solve for $g$ . $\newline$ $|4g| = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $g =$ _ or $g =$ _

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Solve absolute value equations

Full solution

Q. Solve for

g

.

\newline

|4g| = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

g =

_____ or

g =

_____

Definition of Absolute Value: Absolute value of a number is the distance of that number from $0$ on the number line, which is always non-negative. The equation $|4g| = 0$ implies that the distance of $4g$ from $0$ is $0$ . This means that $4g$ itself must be $0$ . $\newline$ Calculation: $|4g| = 0$ $\newline$ Therefore, $4g = 0$
Calculation for Absolute Value: To find the value of $g$ , we divide both sides of the equation by $4$ . $\newline$ Calculation: $\frac{4g}{4} = \frac{0}{4}$ $\newline$ This simplifies to $g = 0$ .

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