Evaluate :

(0.8)³

We have:

(0.8)³ = 0.8 × 0.8 × 0.8

First we multiply 8 × 8 × 8

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

∴ 8 × 8 = 64

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

∴ 8 × 8 × 8 = 512

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

So, the product contains 3 places of decimal

∴ (0.8)³ = 0.512