235/16,Is the number have terminating decimal expansion and why?
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Answered by
2
In the attachment I have answered this problem.
The given number has terminating
Decimal expansion because it
Can be written in the particular form
Shown in the attachment.
I hope this answer helps you
Attachments:
Answered by
2
Hi ,
*************************************
Let x = p/q be a rational number ,
such that the prime factorisation of
' q ' is of the form 2^n 5^m , where
n , m are non - negative integers .
Then x has a decimal expansion
which terminates .
********************************************
Here ,
235/16 = p/q
q = 16 = 2⁴
q is of the form 2^n5^m , here
n = 4 , m = 0 ,
Therefore ,
235/16 is a terminating decimal.
I hope this helps you.
: )
*************************************
Let x = p/q be a rational number ,
such that the prime factorisation of
' q ' is of the form 2^n 5^m , where
n , m are non - negative integers .
Then x has a decimal expansion
which terminates .
********************************************
Here ,
235/16 = p/q
q = 16 = 2⁴
q is of the form 2^n5^m , here
n = 4 , m = 0 ,
Therefore ,
235/16 is a terminating decimal.
I hope this helps you.
: )
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