In this question 

we apply rule of decimals to get final value,

$\begin{array}{l}0.01\times 0.1-(0.001÷10)+0.01\\ \Rightarrow \text{ 0.001 - (0.001}÷\text{1 0) + 0.01}\\ \Rightarrow \text{ 0.001 - 0.0001 + 0.01}\\ \Rightarrow \text{ \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}? = 0.01 1 - 0.0001}\\ \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}= 0.01 1 0 - 0.0001 = 0.0109}\end{array}$

Hence, Option E is correct.