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Don’t give up!
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Good job!
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Right behind you!
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You go goose!
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You can do it!
FACTOR – LABEL Method ALWAYS works
because of these two principles:
NUMERATOR
A fraction equals ______
ONE when the _______________
and __________________
DENOMINATOR are equivalent
Anything MULTIPLIED
______________ by ONE is _______________
UNCHANGED
2.54 cm = 1 inch
3 days = _________ s
3 days
X
24 hr
1 day
X
60 min
1 hr
X
60 sec
=
1 min
259,200 s
255 inches = _________ m
255 in
X
2.54 cm
1 in
X
1m
100 cm
= 6.48 m
7,000 cm3 = ________ m3
7000
cm3
X
1m
100 cm
X
1m
100 cm
X
1m
=
100 cm
.007 m3
600,000 s = ________ weeks
600,000 s
X
1 min
60 s
1 day
1 week
1 hr
=
X
X
X
60 min
24 hr
7 days
.992 wk
1.61 km = 1 mile
1000 m = 1 km
25 m/s = ________ km/hr
25 m
X
s
1 km
1000 m
X
60 s
1 min
X
60 min
1 hr
=
90 km/hr
180 mph = _________ m/s
180 mi
hr
X
1.61 km
1 mi
1 hr
1 min
1000
X
X
= 80.5 m/s
m1 km 60 min X
60 s
Writing numbers as powers of TEN
600,000 =
.00007
6 x 10 x 10 x 10 x 10 x 10
=
6 x 105
=
7  10  10  10  10  10
=
1
7 x
x
10
=
7 x
1
105
1
x
10
=
1
1
1
x
x
10
10
10
7 x 10-5
34,000,000 =
3.4 x 107
.0000008 =
8 x 10-7
.000678 =
6.78 x 10-4
72.5 =
7.25 x 101
.00000000099 =
9.9 x 10-10
“ TIMES TEN TO THE ”
8.2 x 10-9
7.4 x 1011
1.1 x 10-20
METER m
BASE UNITS
LITER
l or L
GRAM
g
Pico
p
10-12
TeraT
1012
Nano
n
10-9
Giga
G
109
Micro
10-6
Mega
M
106
Milli
m 10-3
Kilo
k
103
Centi
c
10-2
Hecto
h
102
Deci
d
10-1
Deka
da
101
8.1  L = ____________ML
To base unit
8.1 L
X
1 x 10-6 L
---------------1 L
To desired unit
X
1 ML
---------------- = 8.1 x 10-12 ML
1 x 106 L
25 pm = ______ cm
To base unit
25 pm
To desired unit
1 x 10-12 m
1 cm
X ---------------- X ---------------- = 2.5 x 10-9 cm
1 pm
1 x 10-2 m
IMPORTANT
NEEDED
MEANINGFUL
1. Non-zeros ARE significant
124
3 sig figs
46.71 4 sig figs
2. Zeros between sig figs ARE significant
400,001 6 sig figs
30.5
3 sig figs
3. Place-holders ARE NOT significant
4. Exact zeros ARE significant
300
.0025
1 sig figs
2 sig figs
3.00
.20
3 sig figs
2 sig figs
1. Non-zeros ARE significant
2. Zeros between non-zeros ARE significant
3. Place-holders ARE NOT significant
4. Exact zeros ARE significant
90.02
4 sig figs
2300
2 sig figs
.00005
1 sig fig
.0402
3 sig figs
1.0020
5 sig figs
1. Non-zeros ARE significant
2. Zeros between sig figs ARE significant
3. Place-holders ARE NOT significant
4. Exact zeros ARE significant
200
1 sig figs
200.0
4 sig figs
2020
3 sig fig
.002
1 sig figs
.200
3 sig figs
1 sig fig
20,000
2 sig figs
23,000
3 sig figs
23,500
4 sig figs
23,460
7 sig figs
23,456.79
8.1 m
2
sig figs
X
100
cm
---------------1m
X
1 inch
---------------2.54 cm
=
318.8976 cm
320 cm
Round
to 2
sig figs