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Chapter 1: Q60. (page 24)

Writing Absolute value can be defined as follows: a=aifa鈮�0,anda=-aifa<0. Explain why this definition agrees with the one given at the top of page 23.

Short Answer

Expert verified

|a|=aif a鈮�0

|a|=-aif a<0.

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

For every number mod or absolute value gives the positive terms of that number so when inside the mod number is greater than 0 to do that number positive we take positive sign and when inside the mod number is less than 0 so, to do that number positive and remove the mod we use negative sign and remove the mod.

|a|=aif a鈮�0

|a|=-aif a<0

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