Patterns in Measurment Systems

1
Patterns in Measurment Systems

• Converting in and between the Metric and
  Customary Systems

2
The Metric System
3
The metric system measures length, mass and
capacity.

• length meters
• mass grams
• capacity liter

length mass capacity
4
Metric System Prefixes.

• kilo- 1,000
• hecto- 100
• deka- 10
• unit 1
• deci- 0.1
• centi- 0.01
• milli- 0.001

5
length (meters m)

• km kilometers
• m meters
• cm centimeters
• mm millimeters

6
mass (gram g)

• kg kilograms
• g grams
• cg centigrams
• mg milligrams

7
capacity (liter L)

• kL kiloliters
• L liters
• cL centiliters
• mL milliliters

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Conversion Shortcut.

• Write this down!

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kilo- hecto- deka- unit deci- centi- milli-
move the decimal to the right as you go down.
move the decimal to the left as you go up.
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Conversions

• If you go up on the chart the decimal will go to
  the left.
• If you go down on the chart the decimal will go
  to the right.

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KingHenryDrankUnhealthyDarkChocolateMilk
12
KingHenryDrankUnhealthyDarkChocolateMilk
kilo- hecto- deka- unit deci- centi- milli-
13
The Customary System
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Length
12 in 1 ft
3 ft 1 yd
1760 yd 1 mi
1760
3
12
in
ft
mi
yd
12
3
1760
15
Capacity
8 fl oz 1 c
2 c 1 pt
2 pt 1 qt
4 qt 1 gal
2
2
8
4
fl oz
c
qt
pt
gal
8
2
2
4
16
Mass
16 oz 1 lb
2000 lb 1 T
2000
16
oz
lb
T
16
2000
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Converting
Length 1 in 2.5 cm 1 cm 0.4 in
Weight Mass 1 kg 2.2 lb. 1 lb. 0.45 kg
Capacity 1 L 0.26 gal 1 gal 3.79 L
18
If I weighed 150 lb., figure out how much I would
weigh in kg.
First, pick one of the lb/kg ratios 1 kg 2.2
lb. OR 1 lb. 0.45 kg
1 kg 2.2 lb.
1 lb. 0.45 kg
x
x
150 lb.
150 lb.
2. Place the value you know under the
corresponding unit.
3. Place and x under the other unit. Solve as a
proportion.
150 2.2x
1x 67.5
1. Write the ratio.
2.2 2.2
x 67.5
68.2 x
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How much would a 30kg weight weigh in pounds?