1. III. Unit Conversions (p. 40 - 42)
CH. 2 - MEASUREMENT
III. Unit Conversions
(p )

2. A. SI Prefix Conversions
1. Find the difference between the exponents of the two prefixes.
2. Move the decimal that many places.
To the left
or right?

3. A. SI Prefix Conversions=
532 m = _______ km
0.532
NUMBER
UNIT
NUMBER
UNIT

4. A. SI Prefix Conversions
Symbol
Factor
mega- M
106
kilo- k
103
BASE UNIT
---
100
deci- d
10-1
move left
move right
centi- c
10-2
milli- m
10-3
micro- 
10-6
nano- n
10-9
pico- p
10-12

5. A. SI Prefix Conversions
0.2
1) 20 cm = ______________ m
2) L = ______________ mL
3) 45 m = ______________ nm
4) 805 dm = ______________ km 32
45,000
0.0805

6. Unit Conversions The “Factor-Label” Method
Units, or “labels” are canceled, or “factored” out

7. Factor Label Method Steps: 1. Identify starting & ending units.
2. Line up conversion factors so units cancel.
3. Multiply all top numbers & divide by each bottom number.
4. Check units & answer.

8. Factor Label Method 1 in = 2.54 cm = 1 2.54 cm 2.54 cm 1 in = 2.54 cm
Lining up conversion factors:
= 1
1 in = 2.54 cm
2.54 cm cm
1 =
1 in = 2.54 cm
1 in in

9. Factor Label Method 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL qt mL
How many milliliters are in 1.00 quart of milk? qt mL
1.00 qt
1 L
1.057 qt
1000 mL
1 L  
= 946 mL

10. Factor Label Method 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 19.3 g
You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. lb
cm3
1.5 lb
1 kg
2.2 lb
1000 g
1 kg
1 cm3
19.3 g   
= 35 cm3

11. Factor Label Method 8.0 cm 1 in 2.54 cm = 3.2 in cm in
5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off? cm in
8.0 cm
1 in
2.54 cm 
= 3.2 in

12. Factor Label Method 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft = 6.0 yd
6) GHS football needs 550 cm for a 1st down. How many yards is this? cm yd
550 cm
1 in
2.54 cm
1 ft
12 in
1 yd
3 ft   
= 6.0 yd

13. Factor Label Method 1.3 m 100 cm 1 m 1 piece 1.5 cm = 86 pieces cm
7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? cm
pieces
1.3 m
100 cm
1 m
1 piece
1.5 cm  
= 86 pieces