How do you find the absolute value of #abs(0)#?

1 Answer
Dec 9, 2016

See explanation.

Explanation:

You can do it either algebraicly or geometrically:

Algebraicly

Absolute value is defined as:

#|x|={(x, x>=0),(-x,x<0) :}#

so if you use this formula for #x=0# you get: #|0|=0#

Geometrically

Absolute value of #x# is geometrically defined as the distance between #x# and #0# on a number line.

In case of #x=0# #x# and #0# is the same point, so the distance (i.e. the absolute value) is zero.