Q. 63.9( 63 Votes )

Express the follo

Answer :

I. (i). 242/1000 = 242 × 10-3

242/1000 = 0.242


( 242 ÷ 1000 = 0.242)


(ii). 354/500 = (354/5) × 10-2


354/500 = 70.8 × 10-2


Or 354/500 = 70.8 ÷ 100


354/500 = 0.708


(iii). 2/5 = 2 ÷ 5


2/5 = 0.4


(iv). 115/4 = 115 ÷ 4


115/4 = 28.75


II. (i). 2/3 = 2 ÷ 3


2/3 = 0.6666666…


This is clearly a repeating or recurring decimal. Thus, round-off the decimal in 2-digit or so after the decimal point.


2/3 = 0.67


(ii). -25/36 = -25 ÷ 36


-25/36 = -0.6944444…


This is clearly a repeating or recurring decimal. Thus, by rounding off in 4-digit or so after the decimal point.


-25/36 = -0.6944


(iii). 22/7 = 22 ÷ 7


22/7 = 3.142857143…


This clearly is non-repeating, non-terminating decimal, which is a decimal number which continues endlessly with no group of digits repeating endlessly.


Thus, take only 2 or 3 digit after decimal point.


22/7 = 3.14


This number is also called π (pi).


(iv). 11/9 = 11 ÷ 9


11/9 = 1.2222222…


This is a repeating or recurring decimal. Thus, round it off to 2 or so digits after the decimal point.


11/9 = 1.22


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