Find whether decimal expression of 13/64 is a terminating of non-terminating decimal. if it terminating, find the number of decimal places its expresion has.
Answers
Answered by
68
13/64 if simplified totally to have answer in decimal terms then it shall be 0.203125
{ whats terminating decimal?
=>its a decimal which actually ends i.e. it has decimals numbers which end at a point or are finite rather infinite. }
as 0.203125 terminates(ends at a point) it is a terminating number.
13/64 has 6 numbers in its decimal expansion
{ whats terminating decimal?
=>its a decimal which actually ends i.e. it has decimals numbers which end at a point or are finite rather infinite. }
as 0.203125 terminates(ends at a point) it is a terminating number.
13/64 has 6 numbers in its decimal expansion
Answered by
124
Solution:-
For any integer to have terminating decimal operation, it must be in the form of a/b = a/2^m*5^m
⇒ a/10^m
⇒ 13/64
⇒ 13/2^6*5^0
So, 13/64 is a terminating decimal expression and it terminates after six places of decimal.
For any integer to have terminating decimal operation, it must be in the form of a/b = a/2^m*5^m
⇒ a/10^m
⇒ 13/64
⇒ 13/2^6*5^0
So, 13/64 is a terminating decimal expression and it terminates after six places of decimal.
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