TMAT 103 Appendix B The Metric System. TMAT 103 §B.1 Introduction

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