Question

Fill the blank with the simplified value of the expression on LHS.

$10.1+\frac{1001}{100}+\frac{10001}{1000}+\frac{100001}{10000}=$.

• A. 4.1111
• B. 1111.1111
• C. 40.1111

Answer 1

The correct option is C 40.1111

On simplifying the given expression, we get
$10.1+\frac{1001}{100}+\frac{10001}{1000}+\frac{100001}{10000}$
=$10.1+10.01+10.001+10.0001$
(converting to decimal)
Arranging vertically and adding, we get
$\begin{array}{c}10.1000\\ 10.0100\\ +10.0010\\ \underset{–}{10.0001}\\ \underset{–}{40.1111}\end{array}\left[likedecimals\right]$
$\therefore Ans.=40.1111$