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# Absolute value examples

CCSS.Math:

## Video transcript

find the absolute value of X when X is equal to 5 X is equal to negative 10 and X is equal to negative 12 so the absolute value it's almost the the way of writing it is almost more complicated than what it really is the absolute value is really just the distance of x from 0 distance distance from 0 so let me just draw a fast number line over here so if I were to first let's just put 0 right over here since we're thinking about the distance from 0 so let's just think about the absolute value let's think about the absolute value of X when X is equal to 5 so that's equivalent to the absolute value of 5 we just substituted 5 for X the absolute value of 5 is the distance of 5 from 0 so you go 1 2 3 4 5 5 is exactly 5 to the right of 0 so the absolute value of 5 is just 5 now I think you already you get to see this is a pretty straightforward concept now let's do something a little more interesting absolute value of negative 10 when x is or the absolute value of X when X is equal to negative 10 so let's just put negative 10 in for X this is the distance that negative 10 is from 0 and so let's just go negative 1 negative 2 negative 3 negative 4 negative 5 negative 6 negative 7 negative 8 negative 9 negative 10 I should extend the number line more so this right here is negative 10 so how far is it away from 0 well it's 10 to the left of 0 so you put a 10 here and so in general absolute value will always be a positive quantity and we're thinking about just absolute values of just numbers it's just going to be the really the positive version of that number let's do one more well they tell us to do one more the absolute value of x when x is equal to negative 12 so we have the absolute value of negative 12 is going we don't even have to look at the number line it's just going to be the positive version of negative 12 it's just going to be equal to 12 and this is just saying that negative 12 is 12 away from 0 and we could draw it over here this negative 11 negative 12 is right over here it is one two three four five six seven eight nine ten eleven twelve away from zero