1. Intentions for success:
We will be successful when we can convert standard systems of measurement.
Aug. 23, 2018
Vocab: Density Conversion Factor
Warm up: What is Density? d = m/v A block of aluminum occupies a volume of 15.0 mL and weighs 40.5 g. What is its density?

2. Ch. 2 - Measurement I. Units of Measurement (p.34-45)
Number vs. Quantity
SI Base Units & Prefixes
Derived Units
Density Calculations

3. A. Number vs. Quantity UNITS MATTER!!
Quantity - number + unit
UNITS MATTER!!

4. B. SI Units Quantity Base Unit Symbol Length meter m Mass kilogram kg
Time
second s
Temp
kelvin K
Current
ampere A

5. B. SI Units Prefix Symbol Factor mega- M 106 kilo- k 103 deci- d 10-1
centi- c
10-2
milli- m
10-3
micro- 
10-6
nano- n
10-9
pico- p
10-12

6. D M V D = M V C. Derived Units Combination of base units.
Volume - length  width  height
1 cm3 = 1 mL dm3 = 1 L
Density - mass per unit volume (g/cm3) D M V
D = M V

7. D M V D. Density V = 825 cm3 M = DV D = 13.6 g/cm3
An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find its mass.
GIVEN:
V = 825 cm3
D = 13.6 g/cm3
M = ?
WORK:
M = DV
M = (13.6 g/cm3)(825cm3)
M = 11,220 g D M V

8. D M V D. Density D = 0.87 g/mL V = M V = ? M = 25 g V = 25 g 0.87 g/mL
1) A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid?
GIVEN:
D = 0.87 g/mL
V = ?
M = 25 g
WORK:
V = M D D M V
V = g
0.87 g/mL
V = 28.7 mL

9. D M V D. Density M = 620 g D = M V = 753 cm3 D = ? D = 620 g 753 cm3
2) You have a sample with a mass of 620 g & a volume of 753 cm3. Find density.
GIVEN:
M = 620 g
V = 753 cm3
D = ?
WORK:
D = M V D M V
D = g
753 cm3
D = 0.82 g/cm3

10. Solve for the unknown
Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The mercury used to fill the cylinder weighs g. From this information, calculate the density of mercury.

11. Solve for the unknown
A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. The block weighs 1587 g. From this information, calculate the density of lead.

12. Solve for the unknown
Calculate the density of sulfuric acid if 35.4 mL of the acid weighs g.
28.5 g of iron shot is added to a graduated cylinder containing mL of water. The water level rises to the mL mark, From this information, calculate the density of iron.

13. III. Unit Conversions SI Prefix Conversions Dimensional Analysis
Ch. 2 - Measurement
III. Unit Conversions
SI Prefix Conversions
Dimensional Analysis

14. A. SI Prefix Conversions
1. Find the difference between the exponents of the two prefixes.
2. Move the decimal that many places.
To the left
or right?

15. A. SI Prefix Conversions=
532 m = _______ km
0.532
NUMBER
UNIT
NUMBER
UNIT

16. A. SI Prefix Conversions
Symbol
Factor
mega- M
106
kilo- k
103
deci- d
10-1
centi- c
10-2
move left
move right
milli- m
10-3
micro- 
10-6
nano- n
10-9
pico- p
10-12

17. A. SI Prefix Conversions
0.2
1) 20 cm = ______________ m
2) A = ______________ mA
3) 45 m = ______________ nm
4) 805 dm = ______________ km 32
45,000
0.0805

18. Intentions for success:
We will be successful when we can convert standard systems of measurement.
Aug. 24, 2018
Vocab: Dimensional Analysis, Factor-Label Method
Warm up: 5280 ft. = 1 mile 1 inch = 2.54 cm How many cm are in 2 miles?

19. B. Dimensional Analysis
The “Factor-Label” Method
Units, or “labels” are canceled, or “factored” out

20. B. Dimensional Analysis
Steps:
1. Identify starting & ending units.
2. Line up conversion factors so units cancel.
3. Multiply all top numbers & divide by each bottom number.
4. Check units & answer.

21. B. Dimensional Analysis
Lining up conversion factors:
= 1
1 in = 2.54 cm
2.54 cm cm
1 =
1 in = 2.54 cm
1 in in

22. B. Dimensional Analysis
Your European hairdresser wants to cut your hair 8 cm shorter. How many inches will he be cutting off? cm in
8 cm
1 in
2.54 cm
= 3.15 in 

23. B. Dimensional Analysis
How many milliliters are in 1 quart of milk? qt mL
1 qt
1 L
1.057 qt
1000 mL
1 L
= 946 mL

24. B. Dimensional Analysis
5) Assume your mass is 55 kg. How many pounds do you weigh? kg lb
55 kg
2.2 lb
1 kg
= 121 lb

25. B. Dimensional Analysis
6) How many feet long is a 5K (5 km) race? km ft
5 km
1 mi
1.609 km
5280 ft
1 mi
= 16,408 ft

26. B. Dimensional Analysis
7) How many grams does a 10-lb. bag of potatoes weigh? lb g
10 lb
1 kg
2.2. lb
1000 g
1 kg
= 4545 g

27. B. Dimensional Analysis
8) Taft football needs 550 cm for a 1st down. How many yards is this? cm yd
550 cm
1 in
2.54 cm
1 ft
12 in
1 yd
3 ft
= 6.01 yd

28. Classwork
Continue completing the Dimensional Analysis handout