SI Unrrs
Summary
.
To rernovea prefix, replace it by the correspondingpower from the table (e.g. km ---+103m)
.
To insert,a prefix, you must also insert a power from the table with the exponent'ssign changed(e.g.
m --+ 10-" km)
.
StandarOSf unit, haveno prertx. with the exceptionof kilograms!
SI Prefixes
SI BaseUnits
PicoP l0-"
nanon: 10-o
microF: l0*
milli m: 10'
centic: l0'
decid: 10'
decada: 10'
hectoh = 10'
kilo k = 10'
megaM: 10u
g i g aG : 1 0 '
Length: mete,m
Mass: kilogram, kg
Time, seconds,s
tera G = lQtz
Examples
2l .5 mm intothestandard
SI unit. Expressyour final answerin
1. a) Convertthemeasurement
scientificnotation.
2,15 rl)'tn-,
) 1 , 5t l O - 3 ' * ,
1.75g into the standardSI unit. Expressyour final answerin scientific
b) Convertthe measurement
notatlon.
l,-?S*lo-t
%
SI unit.
2. A caris travellingat 80.0km/h. Convertthis speedto the standard
l
?O,OL,rn.4, lO@rn
h
Vm
v
z\_
-
l
lh
-
22,
,r..,lS
(
*rrUc'*lr : ''t
7Uq)5
SI unit.
3. A coinhasan areaof3.72cm'. Expressthis areainthestandard
\ rr,,1: toOca-dtoo crnr
:
lO oOOc/"'!
l.J)c-,a,c Io
z
J
I O ooAcqa
z O.OOO?72 n','
o r ] , 7 e r l o an
)
Practice
l. TheEarthorbitsaroundthe Sunat a distanceof about149600000 km.
a) Express
this measurement
usingscientificnotation.
| ,\q
L f lDg V- n
b) Convertthis measurement
to meters.Showall steps!
'1,
Lt|6 r lA"r,t
| ,,4q(o*t08x lo) t
2. Convertthe measurement
to the standardSI unit. Expressyour final answerin scientificnotation.
a)2.52ms.
b) 1.21cJ
-a
e.stxloS
c) l2mg
lrzlrlOu
lL r to4q -, lr 2t l0-t1
o
d
3. Convertthefollowinsinto seconds.
a) 2 minutes
b) I hour45 minutes
c) I day
8 L no o s
6 3oOs
I L Os
4. Convertthesemeasurements
to the specifiedunitsandexpresseachusingscientificnotation.
b) 53.866pg (convertto mg).
a) 27.36kg (convertto g).
na
S 3 ,S 6L , (l O - . , o t
e 1 , > L 4t o \
:- 5.3866vld' \
5.
SI unit for speed.
to the standard
A cyclistis havelingat24.0km/h. Convertthismeasurement
(o,b1 -, I s
e4,O V+- x L}Oo.n -, I h :
)btss
l-,'t
6.
A sprintercanrun at ll.2 m/s. How fast is this in km/h?
ll.)rn. < lV+,.a )6ds
3
(x
Glq
),c)
= 1 0 , ) L.t1
t6
looo,n
7. Challenger Question! Copper has a density of 8.9 g/cm3. Convert this measurementto kg/m', the
SIunitfor density.
standard
x
I r'rlt 100c^<t00c'- loocrt'
a
a l ro w l rs c'n
8,1 Z
*lW*l,oortP)ocq)
(t7'
Cnt
looo6
2
4
j