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MM150 Unit 5 Seminar Agenda Sections

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 = * 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 = /1,000 = /10,000 = /100,000 =

6 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

Metric prefixes km hm dam m dm cm mm __|_____|_____|_____|_____|_____|_____|__ kilo hecto deka base deci centi milli 7

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

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 = 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 = 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 cm = _____ dam 13

14 EVERYONE: Convert 4.37 cm into dam cm = _____ dam 4.37 cm = m (move 2 places to left) m = dam (move 1 place to left) 4.37 cm = 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 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 to measure 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]r 2 h V = 3.14 * * 1.6 V = cubic meters 1 cubic meter = 1000 L * 1000 = 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 Boiling

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 = F = 152.6[deg] 26

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