How do you calculate $\frac{8.887 \times 10^{1}}{9.1 \times 10^{- 2}}$ $(8.887 times 10^1) /( 9.1 times 10^-2)$ ?

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How do you calculate $\frac{8.887 \times 10^{1}}{9.1 \times 10^{- 2}}$ $(8.887 times 10^1) /( 9.1 times 10^-2)$ ?

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Answer 1 · 2016-04-27T21:19:31

Scientific: $\frac{8.887}{9.1} \times 10^{3}$ $8.887/9.1xx10^3$ as an exact value

Divided and rounded as scientific
$0.9766 \times 10^{3} \to 9.766 \times 10^{2}$ $0.9766xx10^3->9.766xx10^2$ to 3 decimal places

Explanation:

Given: $\frac{8.887 \times 10^{1}}{9.1 \times 10^{- 2}}$ $(8.887xx10^1)/(9.1xx10^(-2))$

Note that $10^{1} = 10$ $10^1 = 10$

We also have $\frac{1}{10^{- 2}}$ $1/10^(-2)$ This means that the ten is moved to the numerator giving: $\frac{1}{10^{- 2}} = 10^{2}$ $1/(10^(-2))=10^2$

Write as: $\frac{8.887 \times 10 \times 10^{2}}{9.1}$ $(8.887xx10xx10^2)/9.1$

$\frac{8.887}{9.1} \times 10^{3}$ $8.887/9.1xx10^3$

The question does not state if the solution is required in scientific form or decimal. It is usual practice to use the same format as the question unless instructed otherwise.

I suspect that $8.887 \div 9.1$ $8.887-:9.1$ is an irrational number in that the decimal never stops. So a decimal solution would have to be rounded. Whereas $\frac{8.887 \times 10^{3}}{9.1}$ $(8.887xx10^3)/9.1$ is an exact value

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How do you calculate $\frac{8.887 \times 10^{1}}{9.1 \times 10^{- 2}}$ $(8.887 times 10^1) /( 9.1 times 10^-2)$ ?

1 Answer

Explanation:

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How do you calculate (8.887 times 10^1) /( 9.1 times 10^-2)8.887×1019.1×10−2 (8.887 times 10^1) /( 9.1 times 10^-2)?

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How do you calculate $\frac{8.887 \times 10^{1}}{9.1 \times 10^{- 2}}$ $(8.887 times 10^1) /( 9.1 times 10^-2)$ ?