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Solve for $n$ . $\newline$ $0 = |n - 8|$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $n =$ _ or $n =$ _

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Solve absolute value equations

Full solution

Q. Solve for

n

.

\newline

0 = |n - 8|

\newline

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

\newline

n =

_____ or

n =

_____

Understand absolute value equation: Understand the absolute value equation. $\newline$ The equation $0 = |n - 8|$ means that the absolute value of $(n - 8)$ is $0$ . The absolute value of a number is the distance of that number from $0$ on the number line, which means it is always non-negative. The only number whose absolute value is $0$ is $0$ itself. Therefore, $n - 8$ must be equal to $0$ .
Solve equation $n - 8 = 0$ : Solve the equation $n − 8 = 0$ . $\newline$ To find the value of $n$ , we add $8$ to both sides of the equation. $\newline$ $n − 8 + 8 = 0 + 8$ $\newline$ $n = 8$
Check for second solution: Check for a second solution. $\newline$ Since the absolute value of a number can be positive or negative, we also consider the equation $n - 8 = -0$ . However, $-0$ is the same as $0$ , so this does not provide a different solution. Therefore, there is only one solution to the equation. $\newline$ $n = 8$

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\newline

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\newline

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\newline

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Question

\$200

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\newline

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