Question

# The result of $\left( {{\text{54}}{\text{.327$\times$357}}{\text{.2$\times$0}}{\text{.0057}}} \right)$ is same asA. ${\text{5}}{\text{.4327$\times$3}}{\text{.572$\times$5}}{\text{.7}}$B. ${\text{5}}{\text{.4327$\times$3}}{\text{.572$\times$0}}{\text{.57}}$C. ${\text{54327$\times$3572$\times$0}}{\text{.0000057}}$D. ${\text{5432}}{\text{.7$\times$3}}{\text{.572$\times$0}}{\text{.000057}}$

Hint: The expressions given to us are product of decimals. The number of decimal places before and after multiplication will be equal. So, the option with an equal number of decimal places as in the question will be the correct answer.

We have the expression $\left( {{\text{54}}{\text{.327$\times$357}}{\text{.2$\times$0}}{\text{.0057}}} \right)$. This has a total of 8 decimal places.
The 1st option is ${\text{5}}{\text{.4327$\times$3}}{\text{.572$\times$5}}{\text{.7}}$. It has a total decimal place of ${\text{4 + 3 + 1 = 8}}$.
The second option is ${\text{5}}{\text{.4327$\times$3}}{\text{.572$\times$0}}{\text{.57}}$. The total number of decimal places of this expression is ${\text{4 + 3 + 2 = 9}}$
The 3rd option is ${\text{54327$\times$3572$\times$0}}{\text{.0000057}}$. It has a total number of decimal places of 7
The last option is ${\text{5432}}{\text{.7$\times$3}}{\text{.572$\times$0}}{\text{.000057}}$ and have a total number of decimal places equal to${\text{1 + 3 + 6 = 10}}$