1. Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

2. Topic 1 – Number and Algebra 1.4 – SI Units of Measure

3. SI is the abbreviation for Système International d’Unités, a worldwide system of naming weights and measures in1960. This system established and accurately defined seven base units (or fundamental units). The definition of each of these base units is independent from the other six. SI Units

4. 7 Base Units Base QuantityBase Unit NameBase Unit Symbol LengthMetrem MassKilogramkg TimeSeconds Electric CurrentAmpereA TemperatureKelvinK Amount of SubstanceMolemol Intensity of LightCandelacd

5. SI Base Units – Wikipedia Pesky Kilogram (World’s Roundest Object) Official Definitions of 7 Base Units

6. All other SI units are called derived units because they are obtained (or derived) by multiplying and/or dividing base units. Therefore, these derived units are expressed in terms of base units. SI Units

7. Some Derived Units Derived Quantity Derived SymbolBase Unit Math Aream2m2 Length x Length Volumem3m3 Length x Length x Length Velocity Length ÷ Time Density Mass ÷ (Length x Length x Length) Newton(Mass x Length) ÷ (Time x Time)

8. A system of prefixes, placed before the base or derived units, allows us to avoid writing very very small or very very large quantities. SI Prefixes

9. FactorPrefixSymbol 10 3 kilok 10 2 hectoh 10 1 decada --Base or Derived Unit Symbol 10 -1 decid 10 -2 centic 10 -3 millim

10. Example FactorPrefixSymbol 10 3 kilometerkm 10 2 hectometerhm 10 1 decameterdam 1meterm 10 -1 decimeterdm 10 -2 centimetercm 10 -3 millimetermm

11. More SI Prefixes Image obtained from: http://www.collectionpicture.stockmd.net/932339-metric-prefix-table

12. khdaSI Unitdcm x 10 ÷ 10 Conversion in this direction – Move decimal to right once per prefix Area SI Prefixes Conversions Conversion in this direction – Move decimal to left once per prefix

13. 8 m is _____ cm 24 dg is _____ dag 304 kl is _____ ml 0.44 hm is _____ mm 3.6 x 10 4 mg is _____ g 7.21 x 10 7 km is _____ dm 4896 Mg is _____ cg 6.134 x 10 9 nl is _____ Gl Practice

14. Area SI Prefixes Conversions 1 m Area 1m 2 Area 100dm 2 1 dm = A square metre is equal to the area of a square with side lengths of 1 m 1 m 2 = 1 m x 1 m = 10 dm x 10 dm = 100 dm 2

15. km 2 hm 2 dam 2 m2m2 dm 2 cm 2 mm 2 x 10 2 ÷ 10 2 Area SI Prefixes Conversions Conversion in this direction – Move decimal to right twice per prefix Conversion in this direction – Move decimal to left twice per prefix

16. Volume SI Prefixes Conversions Volume 1m 3 1 m Volume 1000dm 3 = 1 dm A cubic metre is equal to the volume of a cube with side lengths of 1 m 1 m 3 = 1 m x 1 m x 1 m = 10 dm x 10 dm x 10 dm = 1000 dm 3

17. km 3 hm 3 dam 3 m3m3 dm 3 cm 3 mm 3 x 10 3 ÷ 10 3 Volume SI Prefixes Conversions Conversion in this direction – Move decimal to right three per prefix Conversion in this direction – Move decimal to left three per prefix

18. Accepted Non-SI Units QuantityName of Unit SymbolEquivalent in SI Units Timeminutemin1 min = 60 s hourh1 h = 60 min = 3600 s dayd1 d = 24 h = 86400 s Areahectareha1 ha = 1 hm 2 = 10 4 m 2 Volumelitre L, ll = 1 dm 3 Masstonnet1 t = 10 3 kg

19. Section B – Temperature

20. The temperature of the sun is 9,941 °F, what is its temperature in °C? Convert 390°F to °C Convert 42°C to °F Convert 27°C to K Convert 75°F to K