Grade 8 Algebra: Word Problems: Scientific Notation

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Multiplying and dividing

1. Solve:
$\text{A}$ $\text{factory}$ $\text{makes}$ $4\times 10^{5}\text{}$ $\text{bottles}$ $\text{each}$ $\text{day.}$ $\text{How}$ $\text{many}$ $\text{bottles}$ $\text{does}$ $\text{it}$ $\text{make}$ $\text{in}$ $3\times 10^{2}\text{}$ $\text{days?}$
2. Solve:
$\text{Light}$ $\text{travels}$ $3\times 10^{8}\text{}$ $m\text{}$ $\text{per}$ $\text{second.}$ $\text{How}$ $\text{far}$ $\text{does}$ $\text{it}$ $\text{travel}$ $\text{in}$ $6\times 10^{1}\text{}$ $\text{seconds?}$
3. Solve:
$\text{A}$ $\text{city}$ $\text{spends}$ $6\times 10^{8}\text{}$ $\text{dollars}$ $\text{on}$ $2\times 10^{5}\text{}$ $\text{people.}$ $\text{How}$ $\text{much}$ $\text{is}$ $\text{that}$ $\text{per}$ $\text{person?}$
4. Solve:
$\text{One}$ $\text{sheet}$ $\text{of}$ $\text{paper}$ $\text{is}$ $1\times 10^{-4}\text{}$ $m\text{}$ $\text{thick.}$ $\text{How}$ $\text{tall}$ $\text{is}$ $\text{a}$ $\text{stack}$ $\text{of}$ $5\times 10^{3}\text{}$ $\text{sheets?}$
5. Solve:
$\text{A}$ $\text{hard}$ $\text{drive}$ $\text{holds}$ $2\times 10^{12}\text{}$ $\text{bytes.}$ $\text{Each}$ $\text{photo}$ $\text{uses}$ $4\times 10^{6}\text{}$ $\text{bytes.}$ $\text{How}$ $\text{many}$ $\text{photos}$ $\text{fit?}$
6. Solve:
$\text{A}$ $\text{heart}$ $\text{beats}$ $\text{about}$ $1\times 10^{5}\text{}$ $\text{times}$ $\text{per}$ $\text{day.}$ $\text{About}$ $\text{how}$ $\text{many}$ $\text{beats}$ $\text{is}$ $\text{that}$ $\text{in}$ $3.65\times 10^{2}\text{}$ $\text{days?}$
7. Solve:
$\text{A}$ $\text{truck}$ $\text{carries}$ $2\times 10^{4}\text{}$ $\text{kg.}$ $\text{How}$ $\text{much}$ $\text{do}$ $3\times 10^{3}\text{}$ $\text{trucks}$ $\text{carry?}$
8. Solve:
$\text{A}$ $\text{school}$ $\text{uses}$ $9\times 10^{5}\text{}$ $\text{sheets}$ $\text{of}$ $\text{paper}$ $\text{in}$ $3\times 10^{2}\text{}$ $\text{days.}$ $\text{How}$ $\text{many}$ $\text{sheets}$ $\text{is}$ $\text{that}$ $\text{per}$ $\text{day?}$