# MandysNotes

## Absolute Value

20 March 2010 By
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Absolute value is the distance on the real number line between any given number and zero.

Absolute value can never be negative, because technically distance can NEVER be negative.

Distance is always positive.

Absolute value is denoted between | number | - so to the reader, it will appear as: |-3| = 3.

For example:

|-15| = 15,

|20| = 20,

|1 - 9| = | -8 | = 8,

| 0 | = 0.

Example problem:

What is |3 - 4|?

Answer:

|3 -4| = | -1| = 1.

Example problem:

What is |3| + | -4|?

Answer:

|3| + | -4| = 3 + 4 = 7.

Example problem:

What is |3| - |4|?

Answer:

|3| - |4| = 3 - 4 = -1.

Example problem:

what is |( |3| - |4| )|?

Answer: 1.

Note that for any two real numbers, a and b:

|a| + |b| {tex} \geq \ {/tex} |a + b|.

This is called the Triangle Inequality for absolute values.

Read 2822 times Last modified on Thursday, 13 February 2014 17:30

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