All Solutions
Page 19: Practice Problems
$$
begin{align*}
(5cdot 10^{-6} text{m})left(dfrac{1 text{km}}{1000 text{m}}right)=boxed{5cdot 10^{-9} text{km}}\
end{align*}
$$
$boxed{5cdot 10^{-9} text{km}}$
(5times 10^{-6} mathrm{m})left(frac{1 mathrm{km}}{10^3 mathrm{m}}right)=5times 10^{-9} mathrm{km}
$$
So the length of $textit{E. coli}$ is $5times 10^{-9}$ km.
$$
begin{align*}
(33 200 text{dollars})left(dfrac{1 text{kilodollar}}{1000 text{dollars}}right)=boxed{33.2 text{kilodollars}}\
end{align*}
$$
$$
begin{align*}
(33 200 text{dollars}left(dfrac{1 text{megadollar}}{1 000 000 text{dollars}}right)=boxed{0.0332 text{megadollars}}\
end{align*}
$$
$boxed{33.2 text{kilodollars}}$
$textbf{(b)}$ The price in megadollars is
$boxed{0.0332 text{megadollars}}$
left(33200 {rm dollars}right)left(frac{1 {rm Kilo dollar}}{10^{3} text{dollar}}right)=33.2text{ killo dollar}
$$
left(33200text{ dollar}right)left(frac{1text{ mega dollar}}{10^{6}text{ dollar}}right)=33.2times10^{-3}text{ mega dollar}
$$
$$
begin{align*}
dfrac{1 text{s}}{200}=5cdot 10^{-3} text{s}\
end{align*}
$$
One millisecond is one thousandth of a second, $1 text{ms}=10^{-3} text{s}$, so the time required for one wingbeat expressed in milliseconds is
$$
begin{align*}
(5cdot 10^{-3} text{s})left(dfrac{1 text{ms}}{10^{-3} text{s}}right)=boxed{quad 5 text{ms}quad}\
end{align*}
$$
$boxed{quad 5 text{ms}quad}$
$$
frac{left(1text{ s}right)}{200}=0.005text{ s}=left(0.005text{ s}right)left(frac{1text{ ms}}{10^{-3}text{ s}}right)=5text{ ms}
$$