1. Topic -1
Quantities and Units

9. Magnitude
Unit

10. Ascorbic Acid or Vitamin C

11. 500 mg

13. Bacteria

15. Quantities
Length
Mass
Time
Mole
Volume

16. SI (International System) Base Units
Quantity
Written Unit
Unit Symbol
Length
metre m
Mass
gram g
Time
second s
Amount of substance
mole
mol
volume
litre L

17. What are Metric Conversions?
Sometimes we need to change from one measurement to another.
This is usually done because the unit that is used is either too big or too small for that type of measurement.

18. Sometimes the number is too big for the unit being measured.
525,568 millimeters
Sometimes the number is too big for the unit being measured.

19. Sometimes the number is too small for the unit being measuredkm
Sometimes the number is too small for the unit being measured

21. 1 school
250 students
2 bags each student
Each bag 4 pockets
Each pocket 2 notebooks
Each notebook 39 pages
How many total pages?

23. 2.5 cm Magnitude Prefix Unit Exponent Symbol Name name 2.5 10-2 c
centi m
meter

24. Workbook Page 19
Question 11

25. Confusions
da and d
mol and mole
M and m
G and g t
cm3 and dm3

26. Workbook Page 19
Question 12

27. Workbook Page 19
Question 13-14

28. Metric Conversions
Changing prefix

29. Ladder Method 1 2 3 KILO 1000 Units HECTO 100 Units DEKA 10 Units
DECI 0.1 Unit
Meters Liters Grams
CENTI 0.01 Unit
MILLI Unit
How do you use the “ladder” method?
1st – Determine your starting point.
2nd – Convert to basic Unit.
3rd – Convert to required Unit
4 km = _________ m

30. Conversion Practice Try these conversions using the ladder method.
1000 mg = _______ g 1 L = _______ mL 160 cm = _______ mm
14 km = _______ m 109 g = _______ kg 250 m = _______ km
Compare using <, >, or =.
56 cm m 7 g mg

31. Very small pm
picometer
x 103
x 103 ηm
nanometer
x 103 μm
micrometer
x 103 mm
millimeter
x 103 m
meter
x 103 km
kilometer
x 103 Mm
megameter
x 103 Gm
gegameter
Very big Tm
terameter

32. You should also know
x 101 mm
millimeter
x 102 cm
centimeter m
meter

33. 1. Convert 1.23 x 1012 Mm to m? 1.23 x 1012 Mm x 1 x 106 m 1 Mm
Write the starting number and units

34. 2. Convert 6.5 x 10-6 m to nm? 6.5 x 10-6 m x 1 x 103 mm x 1 x 103 μm
x 1 x 103 nm
1 m
1 mm
1 μm
= 6.5 x 103 nm

35. 3. Convert 6.5 x 106 nm to m? 6.5 x 106 nm x 1 x 10-9 m nm

36. 4. Convert 5.88 x 108 μm to km 5.88 x 108 μm x 1 x 103 m x 1 km 1 μm

37. 5. Convert 65 m2 to mm2 65 m2 x 1 x 103 ( )2 mm 2 2 1 m
( )2 mm 2 2
1 m
= x 107 mm2

38. 6. Convert 875 mm3 to m3 875 mm3 x 1 m 3 3 ( )3 1 x 103 mm
( )3
1 x 103 mm
= x m3

39. Metric Conversion Challenge
Write the correct abbreviation for each metric unit.
1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____
2) Meter _____ 5) Millimeter _____ 8) Centimeter _____
3) Gram _____ 6) Liter _____ 9) Milligram _____
Try these conversions, using the ladder method.
10) 2000 mg = _______ g 15) 5 L = _______ mL 20) 16 cm = _______ mm
11) 104 km = _______ m 16) 198 g = _______ kg 21) 2500 m = _______ km
12) 480 cm = _____ m 17) 75 mL = _____ L 22) 65 g = _____ mg
13) 5.6 kg = _____ g 18) 50 cm = _____ m 23) 6.3 cm = _____ mm
14) 8 mm = _____ cm 19) 5.6 m = _____ cm 24) 120 mg = _____ g

40. Conversion Factors Examples of Conversion Factors 12 in = 1 ft
100 cm = 1 m
12 in or 1 ft
1 ft in
100 cm or 1 m
1 m cm
Every relationship can give two conversion factors that are the inverses of each other.

41. Dimensional Analysis - One Conversion Factor
Example: A lab bench is 175 inches long. What is its length in feet?

42. Dimensional Analysis - One Conversion Factor
Example: A lab bench is 175 inches long. What is its length in feet?
Conversion factor:
12 in or 1 ft
1 ft 12 in.
Given: 175 in.
Find: Length (ft)
ft = 175 in X 1 ft = ft = ft
12 in

43. Dimensional Analysis - One Conversion Factor
Example: A marble rolled 50.0 mm. How many meters did it roll?

44. - One Conversion Factor
Example: A marble rolled 50.0 mm. How many meters did it roll?
Conversion factor:
1000 mm or m
1 m mm
Given: 50.0 mm
Find: dist. (m)
m = 50.0 mm X 1 m = m = m
1000 mm

45. Dimensional Analysis - One Conversion Factor
Example: In Germany, a salesman drove at 185 km/hr. What was our speed in mi/hr?

46. One Conversion Factor
Example: In Germany, a salesman drove at 185 km/hr. What was our speed in mi/hr?
Conversion factor:
1.609 km or mi
1 mi km
Given: 185 km/hr
Find: mi/hr
mi = 185 km X 1 mi = mi
hr hr km hr
Speed = 115 mi/hr

47. Nonmetric
Conversions

48. = 2.148 x 109 mL Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
ML to mL
2.148 ML
x kL
x L
x mL
= x 109 mL
1 ML
1kL
1 L

49. Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
ton to mg
0.025 ton
x lb
x 1 kg
x g
x mg
= x mg
1 ton
2.21 lb
1 kg
1 g
Round to 2 sig figs

50. Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
oz to tons
256 oz
x 1 lb
x 1 ton
= x tons
16 oz
2000 lb
Round to 3 sig figs

51. = 3.35 x 10-2 gal Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
mL to gal
152 mL
x 1 L
x 1 gal
= x gal
1000 mL
4.54 L
Round to 3 sig figs

52. Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
mi/gal to km/L
37 mi gal
x 1.61 km
x 1.00 gal
= 13 km/L
1.00 mi
4.54 L

53. Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
km/L to mi/gal
22.4 km
x mi
x 4.54 L
= mi/gal
1 L
1.61 km
1 gal

54. x 4.54 L x 1.00 mi Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
mi/gal to L/km
x 4.54 L
x 1.00 mi
1 gal
= x L/km
15.2 mi
1.00 gal
1.61 km
Invert so that volume is on top!

55. Given that: 2.21 lb = 1.00 kg 4.54 L = 1.00 gal
1.00 atm = kPa km = 1.00 mile
14 lb = 1 stone lb = 1 ton
16 oz = 1 lb
L/km to mi/gal
1 km
x 4.54 L
x mi
= mi/gal
25.6 L
1.00 gal
1.61 km
Invert so that distance is on top!

56. 9. Convert 46 m2 to mm2
46 m2
x 1 x 103
( )2 mm 2 2
1 m
= x 107 mm2

57. 10. Convert 269 mm3 to m3 269 mm3 x 1 m 3 3 ( )3 1 x 103 mm
( )3
1 x 103 mm
= x m3

58. Workbook Page 21
Questions
16-17

59. Derived Quantities

60. Density

61. Density = mass
volume
The unit for density is either g/mL or g/cm3.
1 mL = 1 cm3

62. Given that a 2. 44 cm3 sample of an element has a mass of 47. 14 g
Given that a 2.44 cm3 sample of an element has a mass of g. Determine the density and the element.
Density = mass
volume
D = g
2.44 cm3
D = g/cm3

63. Determine the volume of a 60
Determine the volume of a g sample of a liquid with a density of 1.56 g/mL.
60.50 g
x 1 mL
= mL sig. figs
1.56 g

64. Do some research to find density of lead.
3. Determine the mass of a 85.0 cm3 sample of lead.
Do some research to find density of lead.
Density = g/cm3
85.0 cm3
x g
= g sig. figs.
1 cm3

65. 4. Determine the volume in mm3 of a 15. g sample of lead.
Density = g/cm3
15. g
x cm3
x mm3
= x 103 mm3
11.34 g
1 cm 3

66. 5. Determine the mass of a 208 mm3 sample of lead.
Density = g/cm3
208 mm3
x cm3
x g
= g
1000 mm3
1 cm3

67. 6. What volume of sample of lead (11. 34 g/mL) has the same mass as 45
6. What volume of sample of lead (11.34 g/mL) has the same mass as mL of Ag (19.32 g/mL).
45.00 mL
x g
x mL
= mL
1 mL
11.34 g

68. 6. Determine the volume in mm3 of a 1.0 x 10-8 ton sample of silver.
Density = 10.5 g/cm3
1.0 x 10-8 ton
x lbs
x 1 kg
x g
x 1 cm3
x 1 x 103 mm3
= 0.86 mm3
1 ton
2.21 lbs
1 kg
10.5 g
1 cm3
Density of Coke