Finding all numbers with a given absolute value

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Introduction

The absolute value is defined as

|a| = +a, if a is positive

|a| = a, if a is negative

|0| = 0

So, the absolute of any number (other than 0) is always positive.

Formula

All the numbers with a given absolute value a are therefore, a and a.

Example 1

Find the absolute value of the following number:

48

Solution

Step 1:

|+48| = 48; |48| = 48

Step 2:

So, the numbers with given absolute value 48 are +48 and 48.

Example 2

Find the absolute value of the following number:

33

Solution

Step 1:

|+33| = 33; |33| = 33

Step 2:

So, the numbers with given absolute value 33 are +33 and 33.

Example 3

Find the absolute value of the following number:

97

Solution

Step 1:

|+97| = 97; |97| = 97

Step 2:

So, the numbers with given absolute value 97 are +97 and 97.