# Lesson 6.1: Absolute Value

## Symbol

vertical bar

⠳

## Explanation

Vertical bars for absolute value

Vertical bars are used in a mathematical expression which displays the absolute value of a quantity. The absolute value of a numeral is its distance from zero, in either direction, on the number line. It is an undirected value, the value without a positive or negative sign. The braille configuration of both the opening and closing vertical bars is dots one two five six.

Vertical bars used for absolute value are considered to be a sign of grouping, so it should be treated as a mathematical symbol and spaced similarly to parentheses. A numeric indicator is not needed for a number immediately following a regular vertical bar.

### Example 1

the absolute value of positive five equals five

⠳⠢⠳⠀⠨⠅⠀⠼⠢

### Example 2

the absolute value of negative five equals five

⠳⠤⠢⠳⠀⠨⠅⠀⠼⠢

### Example 3

the absolute value of negative seven point five equals seven point five

⠳⠤⠶⠨⠢⠳⠀⠨⠅⠀⠼⠶⠨⠢

### Example 4

the absolute value of the quantity two minus four equals the absolute value of negative four equals four

⠳⠆⠤⠖⠳⠀⠨⠅⠀⠳⠤⠲⠳⠀⠨⠅⠀⠼⠲

### Example 5

the absolute value of the quantity, absolute value of negative two plus the absolute value of three equals the absolute value of five equals five

⠳⠳⠤⠆⠳⠬⠳⠒⠳⠳⠀⠨⠅⠀⠳⠢⠳⠀⠨⠅⠀⠼⠢

### Example 6

the absolute value of x

⠳⠭⠳

### Example 7

the absolute value of the fraction negative two thirds

⠳⠤⠹⠆⠌⠒⠼⠳

### Example 8

the negative of the absolute value of negative five equals negative five

⠤⠳⠤⠢⠳⠀⠨⠅⠀⠤⠼⠢

### Example 9

Sentence: What is the value of the absolute value of negative nine question mark

⠠⠺⠓⠁⠞⠀⠊⠎⠀⠞⠓⠑⠀⠧⠁⠇⠥⠑⠀⠕⠋⠀⠸⠩⠀⠳⠤⠔⠳⠀⠸⠱⠦

### Example 10

the number four circle the absolute value of negative six, where the circle would be used to indicate a blank space where a greater than or less than symbol would belong.

⠼⠲⠀⠫⠉⠀⠳⠤⠖⠳