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QuestionFind the absolute value of -11. What is ∣−11∣|-11|?

Studdy Solution

STEP 1

Assumptions1. We are dealing with absolute value, which is the distance a number is from zero on the number line. . The absolute value of a number is always positive or zero, but never negative.

STEP 2

The absolute value of a number can be calculated using the formula∣x∣={xif x≥0−xif x<0|x| =\begin{cases}x & \text{if } x \geq0 \\ -x & \text{if } x <0\end{cases}

STEP 3

Now, plug in the given value for x to calculate the absolute value.
∣−11∣={−11if −11≥0−−11if −11<0|-11| =\begin{cases}-11 & \text{if } -11 \geq0 \\ --11 & \text{if } -11 <0\end{cases}

STEP 4

Since -11 is less than0, we use the second case of the formula.
∣−11∣=−−11|-11| = --11

STEP 5

Calculate the absolute value.
∣−11∣=11|-11| =11The absolute value of -11 is11.

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