Use (-) button instead of the subtract button for negative numbers

Absolute value will not be less than 0

For example

| 4| = 4

|-8| =8

Whenever you have an absolute value graph, the shape will look like a “v” or an upside down “v”

- When the absolute value function equals
**y = |x + b|**the graph will move b units to the left.

- When the absolute value function equals
**y = |x - b|**the graph will move b units to the right.

- When the absolute value function equals
**y = |x| + c**the graph will move up c units.

- When the absolute value function equals
**y = |x| - c**the graph will move down c units.

The symbols for absolute value are called “bars” and look like this. | |

For example |-2| =2 or |4| =4

Absolute value can also be written using “abs( )

For example abs(-2) =2 or abs(4) =4

Questions answered in this video..

What is the definition of **absolute value?**

What is the relationship of numbers on a number line and **absolute value**?

Let's see an example of this absolute value property

|x+3| =6 is the same as x+3 = ± 6

as a result you will have two solutions

x+3= 6 and x+3=-6

x=3 x=-9

|3 x 4| = 12 and |3| x|4| = 12

|-5 x 3| =15 and |-5| x |3| = 15

|2x-3| =6 and |2| x |-3| 6

Transcript

Hi welcome to MooMoomath Today we are going to look at absolute value Well first of all you have to be able to recognize it. Absolute value falls between two vertical lines and there is a value inside that. It’s kinda like a jailbird that’s a good way to think about it. Ok here is our first example. What is the absolute value of negative 5, positive 5 What is the absolute value of positive four? Four What is the absolute value of negative is negative ten Those are the three examples Now let’s take a look at the rules and we will look at these again slowly. What are the rules? Well absolute value is the distance that number is from zero and it is always positive. Think about a runner and you could never tell me I ran a negative distance. So let’s look at our three examples. So let’s look at negative five and if it helps you to draw a number line just draw a number line So here is negative five and zero so how far away is it Just five units away it’s a positive five Four is four units from zero therefore the absolute value is four. Now this last one is tricky because we have a negative outside the absolute value so what’s the absolute value of negative ten it is positive ten but the negative on the outside makes the answer negative 10 Don’t be tricked by the negatives on the outside. If you have a negative on the outside the answer will be negative even if it is negative or positive on the inside. Hope this was helpful

Whenever you have a negative symbol on the outside -| x | or - |- x | the negative value applies: For example -| 6 | = -6 -| -7 | = -7

Here are some examples of *"absolute value*** of a number"** problems:

|-7 | =7

|0-4| = |-4 | = 4

- |3-1| = -|2| = -2

-| 5 - 2 - 5 | = -|3 -5| = -|-2| = -2

|-8-5| + | 6+4| = |-13| + | 10 | = 13 + 10 =23

Common Core Standard 6.NS.7

Absolute Value is the distance a number is from zero

The *absolute value* of a number is never negative; because it only asks "how far?", not "in which direction?"

The absolute value of an integer means that | 5 | = 5, because 5 is five units to the right of zero, but also | –5 | = 5, because –5 on a number line is 5 units to the left of zero.