# How do you write 0.00000000069  in scientific notation?

Dec 14, 2015

=color(blue)(6.9 xx 10^-10

#### Explanation:

$0. \textcolor{b l u e}{000000000} 69$

$= 69 \times {10}^{\textcolor{b l u e}{- 9}} \times {10}^{-} 2$

$= 69 \times {10}^{-} 11$

$= 6.9 \times 10 \times {10}^{-} 11$

=color(blue)(6.9 xx 10^-10

Dec 14, 2015

$\textcolor{b l u e}{\text{Another way of looking at the same thing:}}$

#### Explanation:

Imagine keeping the decimal point where it is but sliding the number until you get $6.9$

There is no way that 6.9 is the same value as 0.00000000069

So we have to change 6.9 so that it is the same.

We have slid the given number to the left by 10 places

So to make 6.9 change back to 0.00000000069 we do this:

$\frac{6.9}{{10}^{10}}$

For Scientific notation this is written as: $6.9 \times {10}^{- 10}$