Absolute Value Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Evaluate ∣5−12∣−∣2−9∣|5 - 12| - |2 - 9|.

Solution

  1. 1
    Compute inside each absolute value: 5−12=−75 - 12 = -7 and 2−9=−72 - 9 = -7.
  2. 2
    Take absolute values: ∣−7∣=7|{-7}| = 7 and ∣−7∣=7|{-7}| = 7.
  3. 3
    Subtract: 7−7=07 - 7 = 0.

Answer

00
First evaluate the expression inside the absolute value bars, then apply the absolute value, and finally perform the remaining operations.

About Absolute Value

The distance of a number from zero on the number line, always non-negative; written ∣x∣|x|. For any real number, absolute value strips away the sign and returns only the magnitude.

Learn more about Absolute Value →

More Absolute Value Examples

Example 1 easy

Evaluate [formula].

Example 3 easy

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Example 4 medium

Evaluate [formula].

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