# The hydrogen ion concentration of a vinegar solution is 0.00010 M. How is this concentration written in scientific notation?

##### 1 Answer
May 21, 2017

$1.0 \times {10}^{-} 4$

#### Explanation:

In this problem, there are two significant figures. The final answer should also have two significant figures.

All scientific notation should have a non-zero number, followed by a decimal point to it's right, followed by remaining significant figures after that. The first non-zero number is $1$, so the decimal point should follow the $1$.

Moving the decimal to the right decreases the power of ten. The current number can be expressed as

$0.00010 \times {10}^{0}$
$00 \textcolor{red}{.} 0010 \times {10}^{-} 1$
$000 \textcolor{red}{.} 010 \times {10}^{-} 2$
$0000 \textcolor{red}{.} 10 \times {10}^{-} 3$
$00001 \textcolor{red}{.} 0 \times {10}^{-} 4$

You can write the final answer by ignoring the initial zeros
$1.0 \times {10}^{-} 4$