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Evaluate 0.0028213/0.634 and give your answer in standard form

A. 4.45 x 10^{-3}

B. 4.45 x 10^{-6}

C. 4.45 x 10^{-5}

D. 4.45 x 10^{-4}

**Comments**

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0.0028213 = 2.8213 x 10^{-3}

0.634 = 6.34 x 10^{-1}

from indices,

0.0028213/0.634 = (2.8213/6.34) x 10^{-3-(-1)}

= (2.8213/6.34) x 10^{-3+1}

= (2.8213/6.34) x 10^{-2}

= 0.445 x 10^{-2}

= 4.45 x 10^{-1} x 10^{-2}

Also, from indices,

= 4.45 x 10^{-1 + (-2)}

= 4.45 x 10^{-1 - 2}

= 4.45 x 10^{-3}

**Ans A**

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