Simplifying Absolute Value Express the quantity without using absolute value. |pi -3|

Jerold

Jerold

Answered question

2020-11-12

Simplifying Absolute Value Express the quantity without using absolute value.
|π3|

Answer & Explanation

wheezym

wheezym

Skilled2020-11-13Added 103 answers

Calculation:
Absolute value of any real number a is expressed as |a| and is defined as
|a|=(a, if a 0),(a, if a<0)
Substitute (π3) for a in the above absolute function.
|π3|=((π3),if (π3)0),((π3),if (π3)<0)
As π>3 then the quantity π3>0
As per the definition of absolute value the quantity |π3| is equal to |π3|
The value of the absolute function is, |π3|=|π3|=π3
Thus the quantity"|π3|" without absolute value is π3.

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