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

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

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Answer 1 · 2017-05-21T08:11:53

$1.0 \times 10^{- 4}$ $1.0xx10^-4$

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 $1$ $1$ , so the decimal point should follow the $1$ $1$ .

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

$0.00010 \times 10^{0}$ $0.00010xx10^0$
$00.0010 \times 10^{- 1}$ $00color(red)(.)0010xx10^-1$
$000.010 \times 10^{- 2}$ $000color(red)(.)010xx10^-2$
$0000.10 \times 10^{- 3}$ $0000color(red)(.)10xx10^-3$
$00001.0 \times 10^{- 4}$ $00001color(red)(.)0xx10^-4$

You can write the final answer by ignoring the initial zeros
$1.0 \times 10^{- 4}$ $1.0xx10^-4$

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

1 Answer

Explanation:

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