Question

check whether 14588/625 a terminating decimal expansion.If yes, write it's decimal expansion.

plzzz answer .......​

Answer 1

Given:

14588/625

To find:

The decimal expansion of the given fraction.

Solution:

The decimal expression of the fraction is terminating when we have 2 and 5 in the denominator of the fraction.

and here we have 625 in the denominator of the given fraction,

• 625 = 5×5×5×5

here we have 5⁴ in the denominator

so it means the fraction is terminating

and the value of the fraction is 23.3408

The decimal expansion of the given fraction is 23.3408