Absolute Value

Question 1

Describe “Absolute Value”.

Answer 1

The absolute value of a number |a| is the distance from a to 0 on the real number line. Distances are always positive. |a| is always greater than or equal to 0.

Question 2

Rewrite |ab|

Answer 2

|ab| = |a| x |b|

Question 3

Rewrite |a/b|

Answer 3

|a/b| = |a|/|b|

As long as b is not 0.

Question 4

Rewrite |aⁿ|

Answer 4

|a|ⁿ

Question 5

|x| = a if and only if:

Answer 5

x = +/- a

Question 6

|x| < a if and only if:

Answer 6

-a < x < a

Question 7

|x| > a if and only if:

Answer 7

x > a or x < -a