# Measurement - Unit Conversions

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```					      CH. 2 - MEASUREMENT

III. Unit Conversions
I
(p. 40 - 42)
II

III
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?
A. SI Prefix Conversions

532 m      0.532
= _______ km

NUMBER     =     NUMBER

UNIT           UNIT
A. SI Prefix Conversions
Prefix      Symbol   Factor
mega-         M       106
kilo-         k       103
BASE UNIT     ---     100
move right
move left

deci-         d       10-1
centi-        c       10-2
milli-        m       10-3
micro-               10-6
nano-         n       10-9
pico-         p       10-12
A. SI Prefix Conversions

1) 20 cm =         0.2
______________ m

32
2) 0.032 L = ______________ mL

3) 45 m =       45,000
______________ nm

0.0805
4) 805 dm = ______________ km
B. Dimensional Analysis
 The “Factor-Label” Method
 Units, or “labels” are canceled, or
“factored” out

g
cm   3
3
g
cm
B. Dimensional Analysis
 Steps:
1. Identify starting & ending units.
2. Line up conversion factors so units
cancel.
3. Multiply all top numbers & divide by
each bottom number.
B. Dimensional Analysis
 Lining up conversion factors:

1 in = 2.54 cm
=1
2.54 cm 2.54 cm

1 in = 2.54 cm
1=
1 in     1 in
B. Dimensional Analysis
 How many milliliters are in 1.00 quart of
milk?
qt                                             mL
1.00 qt         1L       1000 mL
= 946 mL
1.057 qt     1L


B. Dimensional Analysis
 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 1000 g 1 cm3
= 35 cm3
2.2 lb    1 kg    19.3 g
B. Dimensional Analysis
 How many liters of water would fill a
container that measures 75.0 in3?

in3                                      L

75.0 in3 (2.54 cm)3      1L
= 1.23 L
(1 in)3    1000 cm3
B. Dimensional Analysis
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
= 3.2 in
2.54 cm
B. Dimensional Analysis
6) Taft football needs 550 cm for a 1st
down. How many yards is this?
cm                                          yd
550 cm      1 in     1 ft 1 yd
= 6.0 yd
2.54 cm 12 in 3 ft
B. Dimensional Analysis
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 piece
= 86 pieces
1m       1.5 cm

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