Date
Name
5+
Class
MATH HAIUDBOOK TRAilSPARENCY WORKSHEET
Scientific Notation
with Appendix B,
Scientific Notation
Use
1. Express each of the following numbers in scientific notation.
a.
230
b.
5601
c. 14 100 000
d.
56 million
e. 2ll0
f.
0.450
g.
0.089
13
h. 0.000 26
¡.
0.000 000 698
o
É
oo
¡.
12 thousandth
I
E
o
É
2.
Express each of the following measurements in scientific notation
o
o
a.
speed
,z
b.
number of seconds in a day, 86 400
of light in a vacuum,299 792 458 m/s
!
'
e
o
s
ã
c.
mean radius of Earth, 6378 km
0
o
92
and pressure of 101 kPa, 0.001 42 glml-
d.
density of oxygen gas at OoC
e.
radius of an argon atom, 0.000 000 000 098 m
Chemistry: Matter and Change
Math Handbook Transparency Worksheets
O
Nome
SCIENTIFIC NOTATION
55
Scientlsts very often deol with very smoll ond very lorge numbers, which con leod to o "*"of
.l0.
confusion when counting zeros! We hove leorned to expres these numbers os powers.,r
Scientific nototion tokes the form of M x l0n where I < M < l0 ond 'n' represents the number
of declmol ploces to be moved, Posltive n lndicotes the stondord form ls o lorge number.
Negotlve n lndlcotes o number between zero ond one,
Exomple l: ConvErt l,f)0,000 to scienlific nolqtion.
We move the decimol poinl so lhot there ls only
one dlgil to its left, o lolol of ó ploces.
1,500,000
= l.5x l0ó
Exomple 2: ConverÎ0.000025 to sclentific nototion.
For this, we move lhe decimol poinl S ploces to the
dght.
0.000025 = 2.5x l0{
(Note thot when o numbel stoils out less thon one,
the exponent ls olwoys negotive.)
Convert the following to scientific nototion,
l.
0,005 =
ó.
o,25 =
2,
5,050 =
7,
0.025 =
3.
0.0008 =
L 0.@25 =
4. 1,000 =
5. 1,000,000 =
9,
500
r0, 5,000 =
Convert the following to stondord nototion.
lûr
l.
1.5
x lO3 =
ó.
3.35 x
2.
.l.5
x lû3 =
7.
l.2x lQ{ =
3.
3.75 x l0'2 =
4.
3.75 x lOP =
5.
2,2x
Crrem[tfi
105 =
ltgTóÉ,
=
8. lxlS =
9. 'l xlûr=
.l0. 4x l0
I
=
@lnstructlonol Folr, lnc,