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1. Welcome to MM150! Unit 5 Seminar To resize your pods: Place your mouse here. Left mouse click and hold. Drag to the right to enlarge the pod. To maximize chat, minimize roster by clicking here

2. MM150 Unit 5 Seminar Agenda • Sections 5.1 -5.4

3. Systeme international d’unites • The worldwide accepted standard measurement system. (SI is the metric system in the US) • One basic unit of measurement for each quantity. • meter for length • kilogram for mass (weight) • liter for volume • degree Celsius for temperature • Based on the number 10. 3

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. Dividing by Powers of 10 • 4/10 = 0.4 • 4/100 = 0.04 • 4/1,000 = 0.004 • 4/10,000 = 0.0004 • 4/100,000 = 0.00004 5

6. Metric Prefixes

7. Metric prefixes km hm dam m dm cm mm __|_____|_____|_____|_____|_____|_____|__ 1000 100 10 1 0.1 0.01 0.001 kilo hecto deka base deci centi milli

8. Using the Prefix Table

9. Metric Conversion Examples • 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 • Remember: we only need to think in units of 10. 9

10. Metric Conversion Example • 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 10

11. EVERYONE: Convert 67 hm into mm. • 67 hm = _____ mm 11

12. EVERYONE: Convert 67 hm into mm. • 67 hm = _____ mm • 67 hm = 6,700 m (move 2 places to right) • 6,700 m = 6,700,000 mm (move 3 places to right) 67 hm = 6,700,000 mm 12

13. EVERYONE: Convert 4.37 cm into dam. • 4.37 cm = _____ dam 13

14. EVERYONE: Convert 4.37 cm into dam. • 4.37 cm = _____ dam • 4.37 cm = 0.0437 m (move 2 places to left) • 0.0437 m = 0.00437 dam (move 1 place to left) 4.37 cm = 0.00437 dam 14

15. 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. 15

16. 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. 16

17. 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. 17

18. Lydia’s rectangular garden is 3 m by 400 cm.What is the area of Lydia’s garden in sq. meters (or m^2)? • Convert 400 cm to m. • 400 cm = 4 m • A = l*w • A = 4 m * 3 m • A = 12 sq. m. 18

19. EVERYONE: Simon’s rectangular painting is 37 cm by 400 mm.What is the area of Simon’s painting in sq. millimeters (or mm^2)? • 37 cm = _____ mm • A = l * w • A = _______ sq mm 19

20. 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 20

21. 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 tomeasure large amounts. • 1 cubic meter = 1 kL 21

22. 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]r2h • V = 3.14 * 0.62 * 1.6 • V = 1.80864 cubic meters • 1 cubic meter = 1000 L • 1.80864 * 1000 = 1808.64 L 22

23. Mass (Weight) • 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. 23

24. Temperature Celsius Fahrenheit • Freezes 0 32 • Body temp 37 98.6 • Boiling 100 212 24

25. 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 25

26. 67[deg]C = ____[deg]F • Use F = (9/5)C + 32 • F = (9/5)(67) + 32 • F = 120.6 + 32 • F = 152.6[deg] 26

27. 99[deg]F = _____[deg]C • Use C = (5/9)(F - 32) • C = (5/9)(99 - 32) • C = (5/9)(67) • C = 37.2[deg] 27

28. 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 28

29. 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 29

30. 75 L = _____ gal • Use 1 gal = 3.8 L 75 L * 1 gal = 19.7 gal 1 3.8 L 30

31. 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 31