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TMAT 103
Appendix B
The Metric System
TMAT 103
§B.1
Introduction
§B.1 – Introduction
• International System of Units– SI Metric System– Many businesses and products are international
• Cars, machinery, entertainment systems, etc.
§B.1 – Introduction
§B.1 – Introduction• Prefixes for SI units
Multiple Power of 10 Prefix Symbol Meaning1,000,000,000,000 1012 Tera T Trillion
1,000,000,000 109 Giga G Billion
1,000,000 106 Mega M Million
1,000 103 Kilo k Thousand
100 102 Hecto h Hundred
10 101 Deka da Ten
.1 10-1 Deci d Tenth
.01 10-2 Centi c Hundredth
.001 10-3 Milli m Thousandth
.000001 10-6 Micro Millionth
.000000001 10-9 Nano n Billionth
.000000000001 10-12 Pico p Trillionth
TMAT 103
§B.2
Length
§B.2 – Length
• Common units for length
Multiple Power of 10 Name Meaning
1,000 103 Kilometre Thousand
1 100 Metre Standard Unit
.01 10-2 Centimetre Hundredth
.001 10-3 Millimetre Thousandth
§B.2 – Length
• ExamplesConvert 576 mm to cm
Convert 5,000,000 mm to km
Convert 25 dm to dam
TMAT 103
§B.3
Mass
§B.3 – Mass
• Common units for mass
Multiple Power of 10 Name Meaning
1,000 103 Kilogram Thousand
1 100 Gram Standard Unit
.001 10-3 Milligram Thousandth
§B.3 – Mass
• ExamplesConvert 3876 g to kg
Convert 50 g to mg
Convert 57 g to g
TMAT 103
§B.4
Volume and Area
§B.4 – Volume and Area• Common units for volume
Multiple Power of 10 Name Meaning
1 100 Litre Standard Unit
.001 10-3 Milli Thousandth
Multiple Power of 10 Name Meaning
1,000,000,000 109 Cubic Kilometre (km3) Billion
1 100 Cubic Metre (m3) Standard Unit
.000001 10-6 Cubic Centimetre (cm3) One millionth
.000000001 10-9 Cubic Millimetre (mm3) One billionth
§B.4 – Volume and Area
• When are litres and millilitres used– Usually for liquids
• When are cubic measurements used– Usually for volume of spaces
• Rooms, Houses, etc.
• Relationship– 1 litre = 1 cubic decimetre– .001 L = 1 cm3
§B.4 – Volume and Area
§B.4 – Volume and Area
• ExamplesConvert 3.4L to mlConvert 856.3 mm3 to cm3
Convert 2.5L to cm3
Find the volume ofthe given figureV = lwh
§B.4 – Volume and Area
• Common units for area
Multiple Power of 10 Name Meaning
1,000,000 106 Square Kilometre (km2) Million
10,000 104 Square Hectometre
HECTARE (ha)
Ten thousand
1 100 Square Metre (m2) Standard Unit
.0001 10-4 Square Centimetre (cm2) One ten-thousandth
.000001 10-6 Square Millimetre (mm2) One millionth
§B.4 – Volume and Area
§B.4 – Volume and Area
• ExamplesConvert 14423 cm2 to m2
Convert 7.2 ha to km2
Convert 3.7 ha to acres– 1 ha = 2.47 acres
Find the area ofthe given figureA = lw
TMAT 103
§B.5
Temperature, Time, Current, and Power
§B.5 Temperature, Time, Current, and Power
• Temperature– Kelvin
• SI – Engineering and science
• No degree symbol (°) used
– Celsius• SI – Everyday temperature measurements
– Fahrenheit• US measurements
§B.5 Temperature, Time, Current, and Power
• Temperature Relationships–
–
–
273CK
)32(95 FC
3259 CF
§B.5 Temperature, Time, Current, and Power
§B.5 Temperature, Time, Current, and Power
• ExamplesConvert 93.3° F to CConvert 27.2° C to FConvert 131 K to F
§B.5 Temperature, Time, Current, and Power
• Time– Seconds, Minutes, Hour, Day, etc.
• ExamplesConvert 4 hours 31 minutes to secondsConvert 4,383,000 nanoseconds to secondsHow many seconds are in a year?
§B.5 Temperature, Time, Current, and Power
• Common units for current
Multiple Power of 10 Name Meaning
1 100 Ampere Standard Unit
.001 10-3 Milliampere Thousandth
.000001 10-6 Microampere Millionth
§B.5 Temperature, Time, Current, and Power
• ExamplesConvert 3654 mA to AConvert 1,500,000 A to A
§B.5 Temperature, Time, Current, and Power
• Common units for power
Multiple Power of 10 Name Meaning
1,000,000 106 Megawatt Million
1,000 103 Kilowatt Thousand
1 100 Watt Standard Unit
.001 10-3 Milliwatt Thousandth
§B.5 Temperature, Time, Current, and Power
• ExamplesConvert 3654 mW to WConvert 1,500,000 W to MW
TMAT 103
§B.6
Other Conversions
§B.6 Other Conversions
• Appendix A– Conversion tables
• ExamplesConvert 1.6 square miles to square feetConvert 45 yards to rods
16.5 feet = 1 rod
Convert 1.5 kilometres per minute to miles per hour