163/150 will have a terminating decimal expansion. state true or false.justify your answer
Answer :
We know if any terminating decimal number represent in fraction than it's denominator will be in form of 2m 5n .
And
Decimal digits of any number depends on value of m and n , If
We get
m > n than we get " m " number of decimal digits .
And
If
We get
n > m than we get " n " number of decimal digits .
So,
So,
Our denominator is not in form of 2m 5n . So
will never have a terminating decimal expansion .
We can justify it by finding its' value we get
= 1.086666666666666 . . .
We know if any terminating decimal number represent in fraction than it's denominator will be in form of 2m 5n .
And
Decimal digits of any number depends on value of m and n , If
We get
m > n than we get " m " number of decimal digits .
And
If
We get
n > m than we get " n " number of decimal digits .
So,
So,
Our denominator is not in form of 2m 5n . So
will never have a terminating decimal expansion .
We can justify it by finding its' value we get
= 1.086666666666666 . . .