Find the product :

5.64 x 0.08

First we multiply 564 by 8

$\begin{matrix} & & 5 & 6 & 4 \ \times & & & & 8 \ \hline & \bold{4} & \bold{5} & \bold{1} & \bold{2} \end{matrix}$

Clearly, 564 × 8 = 4512

Sum of decimal places in given decimals = (2 + 2) = 4

So, the product contains 4 places of decimal

∴ 5.64 × 0.08 = 0.4512