Find the product :

2.75 x 1.7

First we multiply 275 by 17

$\begin{matrix} & & 2 & 7 & 5 \ \times & & & 1 & 7 \ \hline & 1 & 9 & 2 & 5 \ & 2 & 7 & 5 & \times \ \hline & \bold{4} & \bold{6} & \bold{7} & \bold{5} \end{matrix}$

Clearly, 275 × 17 = 4675

Sum of decimal places in given decimals = (2 + 1) = 3

So, the product contains 3 places of decimal

∴ 2.75 × 1.7 = 4.675