Find the product :

2.3 x 0.23 x 0.1

First we multiply 23 by 23 and then by 1

$\begin{matrix} & & 2 & 3 \ \times & & 2 & 3 \ \hline & & 6 & 9 \ & 4 & 6 & \times \ \hline & \bold{5} & \bold{2} & \bold{9} \end{matrix}$

Clearly, 23 × 23 × 1 = 529

Sum of decimal places in given decimals = (1 + 2 + 1) = 4

So, the product contains 4 places of decimal

529 x 1 = 529

∴ 2.3 × 0.23 × 0.1 = 0.0529