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Chapter 1: Q52. (page 24)

Writing Explain why the absolute value of 0 is 0.

Short Answer

Expert verified

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

01

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,...

02

Step-2 – Concept of absolute value

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

03

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.

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