1. MM150 Unit 3 Seminar Agenda Sections 5.1 -5.4

2. DID YOU KNOW It’s a metric world The united states is the only western country not presently using the metric system as its primary system of measurement. The only other countries in the world not using metric system as their primary system of measurement are Yemen, Brunei, and a few small islands; see Fig. 8.15.

3. Let’s do some review work before we begin.

4. 4 Multiplying by Powers of 10 4 * 10 = 40 4 * 100 = 400 4 * 1,000 = 4,000 4 * 10,000 = 40,000 4 * 100,000 = 400,000 4

5. 5 Dividing by Powers of 10 4/10 = 0.4 1 number after the decimal 4/100 = 0.04 2 numbers after the decimal 4/1,000 = 0.004 3 numbers after the decimal 4/10,000 = 0.0004 4 numbers after the decimal 4/100,000 = 0.00004 5 numbers after the decimal 5

6. Nice Job! If you can multiply & divide by 10 (or any power of 10), then the metric system will be easy for you.

7. Metric System The worldwide accepted standard measurement system. The metric system is based on a base unit that corresponds to a certain kind of measurement Length = meter Volume = liter Weight (Mass) = gram Temperature = Celsius Prefixes plus base units (meter, liter, gram) make up the metric system –Example: Centi + meter = Centimeter Kilo + liter = Kiloliter Based on the number 10.

8. Metric System The three prefixes that we will use the most are: –kilo –centi –milli kilo hectodeca Base Units meter gram liter deci centimilli

9. Metric System 9

10. What is the order of the metric system? King Henry Died by Drinking Chocolate Milk –King: Kilo –Henry: Hecto –Died: Deca –By: Base (m, L, g) –Drinking: Deci –Chocolate: Centi –Milk: Milli

11. 11 Metric Prefixes PrefixSymbolMeaning kilo-k1000 * base unit hecto-h100 * base unit deka-da10 * base unit --base unit deci-d1/10 of base unit centi-c1/100 of base unit milli-m1/1000 of base unit

12. 12 Using the Prefix Table UnitSymbolValue kilometerkm1000 m hectometerhm100 m dekameterdam10 m meterm1 meter decimeterdm0.1 m centimetercm0.01 m millimetermm0.001 m

13. 13 Using the Prefix Table UnitSymbolValue kiloliterkl1000 l hectoliterhl100 l dekaliterdal10 l literl1 liter deciliterdl0.1 l centilitercl0.01 l milliliterml0.001 l

14. 14 Using the Prefix Table UnitSymbolValue kilogramkg1000 g hectogramhg100 g dekagramdag10 g gramg1 gram decigramdg0.1 g centigramcg0.01 g milligrammg0.001 g

15. 15 Metric Conversion 16 mm = ____ m Think: “I’m going from a smaller unit to a larger unit. I’ll have a number that is less.” Think: Divide. 16 mm = 0.016 m 34 kL = _____ daL Think: “I’m going from a larger unit to a smaller unit. I’ll have a number that is greater.” Think: Multiply. 34 KL = 3,400 daL 15

16. 16 Metric Conversion 582 cg = _____ hg Think: “I’m going from a smaller unit to a larger unit. I’ll have a number that is less.” Think: divide. NOTE: It may help to go to the base unit first. 582 cg = _____ g 582 cg = 5.82 g 5.82 g = _____ hg 5.82 g = 0.0582 hg 16

17. 17 Metric Conversion EVERYONE: Convert 67 hm into mm. 67 hm = _____ mm 67 hm = 6,700 m 6,700 m = 6,700,000 mm 17

18. 18 Meter or Metre Basic unit of length in the metric system. Until 1960, it was defined as the length of a platinum bar kept in France. Currently it’s definition is based on the speed of light. Little longer than 1 yard (3 feet). Used to measure things we measure in yards or feet. The kilometer is used to measure lengths we measure in miles. 1 km is approximately 0.6 mile. Centimeters/millimeters are used to measure lengths we measure in inches. 2.54 cm is approximately 1 inch. 18

19. 19 Area in the Metric System Make sure all units are the same before calculating area. The square centimeter replaces the square inch. The square meter replaces the square foot and the square yard. A hectare is about 2.5 acres. 19

20. 20 Area in the Metric System A square dam is how many times larger than a square m? 1 dam 10 m 1 dam 10 m A square dam is a square whose sides are 1 dam long. Since 1 dam equals 10 m, we can replace 1 dam with 10 m. The area of the square above is 10 m * 10 m = 100 square meters. Therefore the area of 1 square dam is 100 times the area of 1 square m. 20

21. 21 Area in the Metric System Lydia’s rectangular garden is 3 m by 400 cm. What is the area of Lydia’s garden in meters? Convert 400 cm to m. 400 cm = 4 m A = l*w A = 4 m * 3 m A = 12 sq. m. 21

22. 22 Area in the Metric System EVERYONE: Simon’s rectangular painting is 37 cm by 400 mm. What is the area of Simon’s painting in millimeters? 37 cm = _____ mm 37 cm = 370 mm A = l * w A = 400 mm * 370 mm A = 148,000 sq mm 22

23. 23 Volume in the Metric System Can be expressed in liters (“litres”) or cubic meters. A liter is a little larger than a quart. Used in place of pints, quarts, and gallons. Milliliters are used to measure very small amounts, like medicine doses. Kiloliters and cubic meters are used to measure large amounts. 1 cubic meter = 1 kL 23

24. 24 Volume in the Metric System A cylindrical hot-water heater has a radius of 60 cm and a height of 160 cm. What is the capacity, in liters, of the hot-water heater? 60 cm = _____ m 60 cm = 0.6 m 160 cm = _____ m 160 cm = 1.6 m V = [pi]r 2 h V = 3.14 * 0.6 2 * 1.6 V = 1.80864 cubic meters 1 cubic meter = 1000 L 1.80864 * 1000 = 1808.64 L 24

25. 25 Mass Kilogram (kg) is the basic unit. It is about 2.2 pounds. The official kg is a cylinder of platinum-iridium alloy kept in Paris. The gram is used for small amounts and is used where we would measure in ounces. The milligram is used for really small amounts in the medical and scientific fields. 1 kg of water has a volume of 1 L. 25

26. 26 Temperature Celsius Fahrenheit Freezes 0 32 Body temp 37 98.6 Boiling 100 212 26

27. 27 C to F Conversion F = (9/5)C + 32 Find the F to C Conversion: F = (9/5)C + 32 Subtract 32 from both sides: F - 32 = (9/5)C Multiply both sides by (5/9): (5/9)(F - 32) = C 27 Temperature

28. 28 67[deg]C = ____[deg]F Use F = (9/5)C + 32 F = (9/5)(67) + 32 F = 120.6 + 32 F = 152.6[deg] 28 Temperature

29. 29 99[deg]F = _____[deg]C Use C = (5/9)(F - 32) C = (5/9)(99 - 32) C = (5/9)(67) C = 37.2[deg] 29 Temperature

30. 30 Conversion Factors Fractions in which the numerator and denominator are quantities expressed in an equality between those units Example: 1 in. = 2.54 cm Factors: 1 in. and 2.54 cm 2.54 cm 1 in.

31. 31 Unit Fractions Any fraction in which the numerator and denominator contain different units, but the value is still 1. 12 in OR 3 ft OR 1 gallon 1 ft 1 yd 4 qt 31

32. 32 16 pints = _____ quarts 16 pints * 1 quart = 8 quarts 1 2 pints 15 days = _____ minutes 15 d * 24 hr * 60 min = 21,600 min 1 1 d 1 hr 32 Unit Fractions

33. 33 75 L = _____ gal Use 1 gal = 3.8 L 75 L * 1 gal = 19.7 gal 1 3.8 L 33 Unit Fractions

34. 34 88 ft = _____ m Use 3 ft = 1 yd and 1 yd = 0.9 m 88 ft * 1 yd * 0.9 m = 26.4 m 1 3 ft 1 yd 34 Unit Fractions