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Unit 5 Seminar

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MM150 Unit 3 Seminar Agenda

• Sections 5.1 -5.4

3

International System of Units

• The worldwide accepted standard measurement system.

• One basic unit of measurement for each quantity.– meter for length– kilogram for mass– 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 PrefixesPrefix Symbol Meaning

kilo- k 1000 * base unit

hecto- h 100 * base unit

deka- da 10 * base unit

- - base unit

deci- d 1/10 of base unit

centi- c 1/100 of base unit

milli- m 1/1000 of base unit

7

Using the Prefix TableUnit Symbol Value

kilogram kg 1000 g

hectogram hg 100 g

dekagram dag 10 g

gram g 1 gram

decigram dg 0.1 g

centigram cg 0.01 g

milligram mg 0.001 g

8

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

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9

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

9

EVERYONE: Convert 67 hm into mm.

10

11

EVERYONE: Convert 67 hm into mm.

• 67 hm = _____ mm

• 67 hm = 6,700 m

• 6,700 m = 6,700,000 mm

11

12

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.

• A 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.

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13

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. 13

14

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.

14

15

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.

15

EVERYONE: Simon’s rectangular painting is 37 cm by 400 mm.What is the area of Simon’s painting in millimeters?

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17

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

17

18

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

18

19

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

19

20

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.

20

21

Temperature

• Celsius Fahrenheit

• Freezes 0 32

• Body temp 37 98.6

• Boiling 100 212

21

22

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

22

23

67[deg]C = ____[deg]F

• Use F = (9/5)C + 32

• F = (9/5)(67) + 32

• F = 120.6 + 32

• F = 152.6[deg]

23

24

99[deg]F = _____[deg]C

• Use C = (5/9)(F - 32)

• C = (5/9)(99 - 32)

• C = (5/9)(67)

• C = 37.2[deg]

24

25

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

25

26

• 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

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27

75 L = _____ gal

• Use 1 gal = 3.8 L

• 75 L * 1 gal = 19.7 gal• 1 3.8 L

27

28

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

28