Question

determine the absolute values |-6|, |0|

Answer 1

Absolute values are very simple:

|a| = a , if a \(\ge\) 0
|a| = -a, if a < 0

Answer 2

So for the first problem, what would your 'a' be?

Answer 3

6?

Answer 4

the 'a' is the part inside the absolute value signs.

Answer 5

So in the first case, a is -6. Is -6 greater than or equal to 0?

Answer 6

no there 2 different problems one is 0 and one is -6 isnt it true if there is a negative on the outside its negative and its positive

Answer 7

You can also think about it like this:

If the part inside absolute value is less than 0, then you multiply the part inside the absolute value by -1.

Answer 8

If the part inside is greater than or equal to 0, then you just leave it alone.

Answer 9

So with |-6| the part inside is less than 0 right?

Then you multiply it by -1, and that is the result.

Answer 10

|-6| = -1(-6) = 6

Answer 11

But since 0 is not less than 0, you leave it alone.

|0| = 0

Answer 12

so -6 = 6?
and 0 is 0?

Answer 13

|-6| = 6 yes.
|0| = 0