Question

Writing Explain why the absolute value of 0 is 0.

Short answer

The absolute value of 0 is 0 because distance of the number zero from zero on the number line is equal to zero.

Step-by-step solution

Step-1 – Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $...,-4,-3,-2,-1,0,1,2,3,4,...$

Step-2 – Concept of absolute value

The absolute value is defined as the distance of a number from 0 on a number line.

Step-3 – Explanation

The absolute value of 0 is 0 because distance of the number zero from zero on the number line is equal to zero.

For example, the absolute value of $-4$ and 4 is 4 because both the distance between both $-4$ and 4 is 4 unit. Since, 0 is 0 unit away from the origin 0, so, its absolute value is also 0.