ch. 2 - measurement iii. unit conversions (p.39-41) si prefix conversions dimensional analysis
TRANSCRIPT
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Ch. 2 - Measurement
III. Unit Conversions (p.39-41)
SI Prefix Conversions
Dimensional Analysis
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A. SI Prefix Conversions
1. Find the difference between the
exponents of the two prefixes.
2. Move the decimal that many places.
To the leftor right?
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=
A. SI Prefix Conversions
NUMBERUNIT
NUMBER
UNIT
532 m = _______ km0.532
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A. SI Prefix Conversions
mega- M 106
deci- d 10-1
centi- c 10-2
milli- m 10-3
Prefix Symbol Factor
micro- 10-6
nano- n 10-9
pico- p 10-12
kilo- k 103
mo
ve le
ft
mo
ve r
igh
t
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A. SI Prefix Conversions
1) 20 cm = ______________ m
2) 0.032 A = ______________ mA
3) 45 m = ______________ nm
4) 805 dm = ______________ km
0.2
0.0805
45,000
32
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3
3
cm
gcm
B. Dimensional Analysis
The “Factor-Label” Method Units, or “labels” are canceled, or
“factored” out
g
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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.
4. Check units & answer.
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B. Dimensional Analysis
Lining up conversion factors:
1 in = 2.54 cm
2.54 cm 2.54 cm
1 in = 2.54 cm
1 in 1 in
= 1
1 =
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B. Dimensional Analysis
Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off?
8 cm 1 in
2.54 cm= 3.15 in
cm in
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B. Dimensional Analysis
How many milliliters are in 1 quart of milk?
1 qt 1 L
1.057 qt= 946 mL
qt mL
1000 mL
1 L
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B. Dimensional Analysis
5) Assume your mass is 55 kg. How many pounds do you weigh?
55 kg 2.2 lb
1 kg= 121 lb
kg lb
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B. Dimensional Analysis
6) How many feet long is a 5K (5 km) race?
5 km 1 mi
1.609 km= 16,408 ft
km ft
5280 ft
1 mi
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B. Dimensional Analysis
7) How many grams does a 10-lb. bag of potatoes weigh?
10 lb 1 kg
2.2. lb= 4545 g
lb g
1000 g
1 kg
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B. Dimensional Analysis
8) Taft football needs 550 cm for a 1st down. How many yards is this?
550 cm 1 in
2.54 cm= 6.01 yd
cm yd
1 ft
12 in
1 yd
3 ft