Question

Why is the absolute value of a nonzero number positive?

Answer 1

Answer:

The absolute value is always positive because it doesn't matter if the number is negative or positive, all that matters is the distance between zero and the integer given. :)

Step-by-step explanation:

Answer 2

The absolute value |x| of x is always greater than zero (positive) regardless of if x is greater than or less than zero.

From the definition of absolute value, written mathematically as

• |x| = x if x > 0 and
• |x| = -x if x < 0.

This implies that the absolute value |x| of x is always greater than zero (positive) regardless of if x is greater than or less than zero.

For example, if x = 5, |5| = 5 which is greater than zero.

Also, if x = -5, |-5| = -(-5) = 5 > 0.

So, the absolute value |x| of x is always greater than zero (positive) regardless of if x is greater than or less than zero.

Learn more about absolute value here:

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