The **absolute value** of a number is the number's *distance* from zero on a number line.

Since we never talk about distance as being negative, the *absolute value of a number is always positive*. Think of it as the *number of jumps* it would take to get to zero from a number.

- It would take five jumps to get to zero from -5, so the absolute value of -5 is 5.
- It would also take five jumps to get to zero from +5, so the absolute value of +5 is also 5.

We use bars (vertical lines) on either side of a number absolute to mean absolute value.

Pretty simple. If the number is negative, make it positive. If the number is already positive, leave it alone.

## Absolute Value Practice:

| Treat absolute value bars
as parentheses; do what is inside first.
Take the absolute value of (-3) and add to that the absolute value of
(+2). |

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| Treat absolute value bars as parentheses; do what is inside first. Take the absolute value of -6, then take the negative of that number. |

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| Again, treat absolute value bars as parentheses, do what is inside first, then take the absolute value. |

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| Treat each set of absolute value bars as a set of parentheses. Simplify each separately, then subtract. |

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Hint

the absolute value of a number is always positive

Hint

treat absolute value bars as parentheses

Hint

take the negative of the absolute value

Hint

do each set of absolute value bars separately