Question

The absolute value of a number is always non-negative

Answer 1

Hey there,

Question stating: The absolute value of a number is always non-negative

This statement above would be a $true$ statement.

The reason why it would be true would be because when you see a number as -2. The absolute value of this would be 2. The reason is because the are 2 digits always from the number 0. Thus, this would include that the absolute value of a number is always non-negative.

Hope this helps.

~Jurgen

Answer 2

I want to make sure you understand that absolute value is the distance from zero. It isn't a value; it is a distance.

For example,

6 and -6 both are 6 units from zero. They are opposites on the number line.

8 and -8 are both 8 units from zero. They are opposites on the number line.

But, if you have a negative sign outside the absolute value signs, like so:

-|6| The distance would be 6. But then, since it's outside the signs, it would be -6.

So, yes, wit the signs by itself the absolute value (or distance from zero) is always non-negative.

I hope this helps!
~kaikers