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Question 56163: an irration number can bacome raional by droppong a few decimal places? true or false?
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! an irration number can bacome raional by droppong a few decimal places? true or false?
HOPE YOU MEAN DROPPING A FEW DECIMAL PLACES MEANS TERMINATING THE DECIMAL
ANY TERMINATING DECIMAL HOWEVER LONG IT MAY BE THAT IS ANY NUMBER OF DIGITA IT MAY CONTAIN IS RATIONAL.
FOR EX,SQRT(3) IS IRRATIONAL AND IS 1.732......NON TERMINATING DECIMAL.
IF WE TERMINATE THE DECIMAL AND WRITE IT AS 1.732,IT BACOMES RATIONAL BECAUSE ,THE MOMENT WE TERMINATE AND WRITE IT AS 1.732 SAY THEN IT IS EQUAL TO 1732/1000 WHICH IS RATIONAL.
EVEN IF THERE ARE A MILLION DIGITS AFTER DECIMAL ,BUT IS TERMINATING THERE , THEN IT IS RATIONAL BECAUSE IT CAN BE WRITTEN AS P/Q WHERE P IS N INTEGER AND Q = 1 MILLION...AN INTEGER.
BUT IF YOU ARE REFERRING TO APPROXIMATION THEN SQRT(3)IS APPROXIMATELY EQUAL TO 1.732.HERE SQRT(3)REMAINS IRRATIONAL ,WHILE ITS APPROXIMATE EQUIVALENT IS RATIONAL
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