10th Class Mathematics Real Numbers Question Bank MCQs - Real Number

On the basis of form \[{{2}^{m}}\times {{5}^{n}}\]of denominator that \[\frac{1458}{1250}\]will be expanded in decimal upto places will be

A) one

B) two

C) three

D) four

Correct Answer: D

Solution :

We have, \[\frac{1458}{1250}=\frac{1458}{2\times {{5}^{4}}}\]

\[=\frac{1458\times {{2}^{3}}}{2\times {{5}^{4}}\times {{2}^{3}}}=\frac{11664}{{{\left( 2\times 5 \right)}^{4}}}\]

=\[\frac{11664}{{{10}^{4}}}=\frac{11664}{10000}\]

= 1.1664

So, it will terminates after 4 places of decimals.