Grade 8 Algebra: Word Problems: Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Comparing and combining

1. Solve:
$\text{Earth}$ $\text{has}$ $\text{a}$ $\text{mass}$ $\text{of}$ $\text{about}$ $6\times 10^{24}\text{}$ $\text{kg.}$ $\text{The}$ $\text{Moon}$ $\text{has}$ $\text{a}$ $\text{mass}$ $\text{of}$ $\text{about}$ $7.5\times 10^{22}\text{}$ $\text{kg.}$ $\text{How}$ $\text{many}$ $\text{times}$ $\text{heavier}$ $\text{is}$ $\text{Earth?}$
2. Solve:
$\text{A}$ $\text{virus}$ $\text{is}$ $1\times 10^{-7}\text{}$ $m\text{}$ $\text{long.}$ $\text{A}$ $\text{cell}$ $\text{is}$ $2\times 10^{-5}\text{}$ $m\text{}$ $\text{long.}$ $\text{How}$ $\text{many}$ $\text{times}$ $\text{longer}$ $\text{is}$ $\text{the}$ $\text{cell?}$
3. Solve:
$\text{Country}$ $X\text{}$ $\text{has}$ $3.2\times 10^{7}\text{}$ $\text{people}$ $\text{and}$ $\text{Country}$ $Y\text{}$ $\text{has}$ $8\times 10^{6}\text{}$ $\text{people.}$ $\text{What}$ $\text{is}$ $\text{their}$ $\text{total}$ $\text{population?}$
4. Solve:
$\text{A}$ $\text{tank}$ $\text{holds}$ $5\times 10^{4}\text{}$ $\text{liters.}$ $1.5\times 10^{4}\text{}$ $\text{liters}$ $\text{are}$ $\text{used.}$ $\text{How}$ $\text{much}$ $\text{is}$ $\text{left?}$
5. Solve:
$\text{Which}$ $\text{is}$ $\text{longer,}$ $4.2\times 10^{-3}\text{}$ $m\text{}$ $\text{or}$ $9\times 10^{-4}\text{}$ $m\text{?}$ $\text{By}$ $\text{how}$ $\text{much?}$
6. Solve:
$\text{A}$ $\text{star}$ $\text{is}$ $9\times 10^{15}\text{}$ $m\text{}$ $\text{away.}$ $\text{Light}$ $\text{travels}$ $3\times 10^{8}\text{}$ $m\text{}$ $\text{per}$ $\text{second.}$ $\text{How}$ $\text{many}$ $\text{seconds}$ $\text{does}$ $\text{its}$ $\text{light}$ $\text{take}$ $\text{to}$ $\text{reach}$ $\text{us?}$
7. Solve:
$\text{A}$ $\text{phone}$ $\text{costs}$ $8\times 10^{2}\text{}$ $\text{dollars.}$ $\text{A}$ $\text{company}$ $\text{sells}$ $5\times 10^{6}\text{}$ $\text{phones.}$ $\text{How}$ $\text{much}$ $\text{money}$ $\text{is}$ $\text{that?}$
8. Solve:
$\text{A}$ $\text{bacterium}$ $\text{is}$ $2\times 10^{-6}\text{}$ $m\text{}$ $\text{long.}$ $\text{How}$ $\text{many}$ $\text{fit}$ $\text{end}$ $\text{to}$ $\text{end}$ $\text{in}$ $1\times 10^{-2}\text{}$ $m\text{?}$