# How do you write 910.5 in scientific notation?

Jan 18, 2016

$9.105 \times {10}^{2}$

#### Explanation:

Keep the decimal point where it is but slide the number to the right 2 places giving:

$9.105$

But this is a different value so we need to add a mathematical correction.

If we have: $9.105 \times 100$ then this corrects the intrinsic value.

Now we change the format to:

$9.105 \times {10}^{2}$ Which is what you are after:

You must end up with only 1 digit to the left of the decimal point for it to be in scientific notation

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Further example
Suppose we had: $0.09105$

Then this would be $\frac{9.105}{100}$

Which ends up as: $9.105 \times {10}^{- 1}$