Q1.without actual division tell which of the following will have terminating or non-terminating decimal expansion.
a)1/1600 b)51/455
please include ALL the steps..
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a)
The denominator is 1600
It can be written as 2*2*2*2*2*2*5*5
Or 2^6*5^2
Since the denominator can be expressed in terms of 2^x*5^y, its a termination fraction and will have terminating decimal expansion.
b)
The denominator is 455
It can be written as 5*7*13
Since it cannot be expressed in terms of 2^x*5^y, its a non-terminating decimal
The denominator is 1600
It can be written as 2*2*2*2*2*2*5*5
Or 2^6*5^2
Since the denominator can be expressed in terms of 2^x*5^y, its a termination fraction and will have terminating decimal expansion.
b)
The denominator is 455
It can be written as 5*7*13
Since it cannot be expressed in terms of 2^x*5^y, its a non-terminating decimal
Anonymous:
thank you so much! this is what i wanted!
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