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Mathematics

Evaluate :

(0.2)3

Decimals

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Answer

We have:

(0.2)3 = 0.2 × 0.2 × 0.2

First we multiply 2 × 2 × 2

2×24\begin{matrix} & 2 \ \times & 2 \ \hline & \bold{4} \end{matrix}

∴ 2 × 2 =4

4×28\begin{matrix} & 4 \ \times & 2 \ \hline & \bold{8} \end{matrix}

∴ 2 × 2 × 2 = 8

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

So, the product contains 3 places of decimal

∴ (0.2)3 = 0.008

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