1. 10/12/16
Today I will convert measurements within the metric system using factor label.
Warm Up – Take a deep breath!

2. Measurement Metric System SI units – base units Length - meter
Mass– gram
Volume – liter
Time – second
Energy - Joule

3. Metric Conversion Table
Decimal
Prefix
Symbol
1 BASE =
1 x 10-9
giga- G
1 x 10-6
mega- M
0.001
kilo- k
0.01
hecto- h
0.1
deca- da 10
deci- d
100
centi- c
1000
milli- m
1 x 106
micro-
1 x 109
nano- n
1 meter = how many micrometers?
1 gram = how many kilograms?
1 liter = how many gigaliters?

4. Dimensional Analysis 1 m = 100 cm 124 m = ? cm 124 m 100 cm =12400 cmx 1 m
1. What do you know?
2. Start with what you are given
3. Set up your identity. x
4. Whatever unit is on top goes on the bottom.
5. Plug in conversion factors
6. Cancel Units!
Multiply by top… Divide by bottom.

5. Dimensional Analysis 1 m = 1 x 109 nm 24000 nm= ? m 1 m 24000 nm
1. What do you know?
2. Start with what you are given
3. Set up your identity. x
4. Whatever unit is on top goes on the bottom.
5. Plug in conversion factors
6. Cancel Units!
Multiply by top… Divide by bottom.

6. Metric Conversion Table
Dimensional Analysis
1 g = kg
0.033 kg = ? dg
1 g = 10 dg
We don’t have a direct conversion between kg and dg.
Metric Conversion Table
Decimal
Prefix
Symbol
1 BASE =
1 x 10-9
giga- G
1 x 10-6
mega- M
0.001
kilo- k
0.01
hecto- h
0.1
deca- da 10
deci- d
100
centi- c
1000
milli-
1 x 106
micro-
1 x 109
nano- n

7. Dimensional Analysis 1 g = 0.001 kg 0.033 kg = ? dg 1 g = 10 dg
We don’t have a direct conversion between kg and dg.
1 g
10 dg
0.033 kg
330 dg x x =
0.001 kg 1 g

8. Dimensional Analysis 1 L = 1000 mL 593 mL = ? cL 1 L = 100 cL
Again, no direct conversion between mL and cL.
1 L
100 cL
593 mL x =
59.3 cL x
1000 mL 1 L

9. Homework
Factor Label #1

10. 10/13/16
Today I will use dimensional analysis to convert between metric and English systems
Warm Up –
#1) How many Gg in 19,500,000 dg?

11. Dimensional Analysis 3.2 km = ? mi 1 mi = 1.609 km 3.2 km 1 mix
1.609 km
1. What do you know?
2. Start with what you are given
3. Set up your identity. x
4. Whatever unit is on top goes on the bottom.
5. Plug in conversion factors
6. Unit cancel!
Multiply by top… Divide by bottom.
Answer should have same # of sig figs as given

12. Dimensional Analysis 1 ft = 12 in 116 ft= ? cm 1 in = 2.54 cm
We don’t have a direct conversion between ft and cm.
12 in
2.54 cm
116 ft
= cm x x 1 ft 1 in
=3540 cm

13. Dimensional Analysis 324 km/min = ? miles/hr = 12082.03 mi/hr60
min
= mi/hr x x
min
1.609 km
1 hr
= mi/hr

14. Dimensional Analysis = 26.8 m/sec
If I am traveling at 60.0 mi/hr, how fast am I going in meters/sec?
60.0 mi
1.609 km
1 m 1 hr 1
min x x x x hr 1 mi
0.001 km
60 min
60 sec
= 26.8 m/sec

15. Lab
Measurement Lab