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The value of   0.2×0.2×0.2−0.02×0.02×0.022×2×2\begin{aligned}& \ \frac{0.2 \times 0.2 \times 0.2-0.02 \times 0.02 \times 0.02}{2 \times
Question

The value of   0.2×0.2×0.20.02×0.02×0.022×2×2\begin{aligned}& \ \frac{0.2 \times 0.2 \times 0.2-0.02 \times 0.02 \times 0.02}{2 \times 2 \times 2} \\\end{aligned}​=

A.

0.0090

B.

0.000999

C.

0.999

D.

0.00999

Correct option is B

Given:

 0.2×0.2×0.20.02×0.02×0.022×2×2\begin{aligned}& \ \frac{0.2 \times 0.2 \times 0.2-0.02 \times 0.02 \times 0.02}{2 \times 2 \times 2} \\\end{aligned}

Solution:

=>0.2×0.2×0.20.02×0.02×0.022×2×2=>0.0080.0000088=>8(0.0010.000001)8=>0.0010.000001=>0.000999\begin{aligned}& \Rightarrow \frac{0.2 \times 0.2 \times 0.2-0.02 \times 0.02 \times 0.02}{2 \times 2 \times 2} \\& \Rightarrow \frac{0.008-0.000008}{8} \\& \Rightarrow \frac{8(0.001-0.000001)}{8} \\& \Rightarrow 0.001-0.000001 \\& \Rightarrow 0.000999\end{aligned}

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