## Related questions with answers

The mass of one oxygen molecule is $5.3 \times 10^{-23}$ gram. Find the mass of 20,000 molecules of oxygen. Express the answer in scientific notation.

Solution

VerifiedMultiply the mass of one oxygen molecule, $5.3\times 10^{-23}$ gram by 20,000 or $2\times 10^4$: $(5.3\times 10^{-23})\times (2\times 10^4)$ Use the associative property and commutative property of multiplication to regroup factors:

$=(5.3\times 2)\times (10^{-23}\times 10^4)$

Use the product rule for exponents: $b^m\cdot b^n=b^{m+n}$

$\begin{align*} &= 10.6 \times 10^{-23+4}\\ &= 10.6 \times 10^{-19} \end{align*}$

This is not written in scientific notation since the factor 10.6 is not between 1 and 10 so we rewrite as:

$\begin{align*} &=(1.06\times 10^{1})\times 10^{-19}\\ &=1.06\times 10^{1+(-19)}\\ &= \color{#c34632}1.06\times 10^{-18}\text{ gram} \end{align*}$

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Probability and Statistics for Engineers and Scientists

9th Edition•ISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor#### Statistics and Probability with Applications

3rd Edition•ISBN: 9781464122163Daren S. Starnes, Josh Tabor## More related questions

1/4

1/7