Question

The decimal expansion 121/25000 will terminate after how many places of decimals

(a) 3 (b) 4 (c) 5 (d) 6​

Answer 1

Answer:

c)5 it will terminate after 5 decimal placea

Answer 2

5

Step by step

Given: 121/25000

$=\frac{121}{2 {}^{3} \times 5^{5}}$

$\small \bold{Add \: 2^{3} \: to \: both \: numerator \: and \: denominator}$

$\begin{gathered}\begin{array}{l}{=\frac{121\times 2^{3}}{2^{3} \times 5^{5}}} \\ {=\frac{121 \times 8}{(2 \times 5)^{5}}}\end{array}\end{gathered}$

Now simplify the above step by simple mathematical calculations

= 968/100000

=0.00968

Hence here in the given problem the decimal places will terminate after 5 decimal places or decimal fractions.

So from this we can conclude that the rational numbers can be expressed in the form of decimal fractions also.