# MandysNotes

## Mandy

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### Absolute Value

20 March 2010

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.

### Negative and Positive Numbers

20 March 2010

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A negative number is any number to the left of 0 on the number line.

By contrast, a positive number is any number to the right of 0 on the number line.

### Double Negatives Equal A Positive

20 March 2010

The technical rule to remember here is that for any real number a:

(-1)(-a) = a.

### Absolute Value Example Problems, Diagram

20 March 2010

Absolute value is the distance on a number line between any given point and zero.

Therefore, because distance is always POSITIVE (you cannot have a negative distance), absolute value is also always POSITIVE.

For example, if you have |x| = 2

This means that x = -2 or 2

WHY?  Because distance is always POSITIVE.

Therefore, remember: Any variable in brackets could have TWO values, one positive and one negative.

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