what type of numbers are terminating
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Those number are terminating which has 2 and 5 of there denominator
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★It can be identify by using a Theorem :-
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★Let x be a rational number whose decimal expansion terminates.
★Than x can be expressed in the form of P ÷ Q are co prime and the Prime factorization of q is of the form 2^m × 5^n where m, n are non negative integers.
★Now let's us see what happens the other way round that is if we are given a rational number in the form of P ÷ Q. Q is in the form of 2^m × 5^n being a non negative integer
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★Let us take a example :- (See attached Image)
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★So above example show that if the denominator of rational number can be expressed as 2^m × 5^n which will terminate.
_______________________________
★Result => Denominator = 2^m × 5^n will be terminate
______________________________________________________________
Regards :)
Cybary
Be Brainly :)
★It can be identify by using a Theorem :-
_______________________________
★Let x be a rational number whose decimal expansion terminates.
★Than x can be expressed in the form of P ÷ Q are co prime and the Prime factorization of q is of the form 2^m × 5^n where m, n are non negative integers.
★Now let's us see what happens the other way round that is if we are given a rational number in the form of P ÷ Q. Q is in the form of 2^m × 5^n being a non negative integer
_______________________________
★Let us take a example :- (See attached Image)
_______________________________
★So above example show that if the denominator of rational number can be expressed as 2^m × 5^n which will terminate.
_______________________________
★Result => Denominator = 2^m × 5^n will be terminate
______________________________________________________________
Regards :)
Cybary
Be Brainly :)
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