Name ____________

10^th grade chemistry

Factor label or dimensional analysis

Units such as grams, meters, etc. can be treated as if they are numbers in operations, such as addition, subtraction, multiplication, and division. To see this, do the following:

a.)    Multiply 2 x 2

b.)    Multiply seconds x seconds

c.)    Do the following and show your work (2 x 3)/2

d.)    (ft x seconds)/ft

e.)    (2² x 3)/3

f.)      (ft² x lbs)/ft

g.)    2 inches x 3 inches

h.)    A box measures 5 cm on each side. What is the volume of the box?

i.)      5 ft + 3 ft

FOUR STEPS

1.)    Write down the given number in units

2.)    Write down a ratio with the given unit in the denominator (bottom) and the unit sought in the numerator (top)

3.)    Insert the proper conversion numbers in the denominator and numerator.

4.)    Multiply and cancel out units.

Do the following. Be sure to show the units and how you canceled them out. Also, try and record your answers to the correct number of significant digits.

1.)    Dairy Queen is about 11 miles from my house. Knowing that there are exactly 5280 ft in a mile, find the distance to Dairy queen in feet.

2.)    It takes me 3.0 minutes to walk to school. How many seconds is this?

3.)    I weigh 160 pounds. How many ton is this?

4.)    I am 6.0 ft tall. How many miles high am I?

5.)    A baby was born 25 days ago. How many hours old is it?

6.)    A recipe that serves 5 people requires 3.0 lb of onions. You wish to make enough of the recipe to feed 7 people. How many pounds of onions do you need?

7.)    You car can go 23.5 mph. You wish to travel to a city that is 85 miles away. How many hours will it take you to reach your destination?

8.)    You realize you are very tired and can only drive for 8 hours before you will have to stop and rest. If you can travel at 62 mph, how far will you travel before you will need to stop and rest?

MULTI-STEP PROBLEMS

9.)    A child begins to walk when they are about 725 days old. How many minutes old were you when you took your first step?

10.)                        How many minutes are there in one year? (Start with 365 days)

11.)                        How many inches are in a mile?

12.)                        How many fluid ounces are in a gallon.

13.)                        Assume that gold cost about $650/ounce. In the entire world there are only about 80,000 tons of gold that have been mined. How much is all of this gold worth?

14.)                        My lot measures about 150.0 ft by 100.0 ft. How many square feet is in my lot.  How many square miles do I own?

ENGLISH-METRIC CONVERSIONS

(REMEMBER THESE!!!!!)

454 g= 1lb

29.6 mL = 1 fluid oz.

2.54 cm = 1 inch

15.)                        I weigh 160 pounds. How many grams is this?

16.)                        I am six feet tall. How many centimeters is this

17.)                        The moon is 239,000 miles away. Express this distance in kilometers.

18.)                        A fast student can run 1.00 X 10² meters in 12.5 seconds. What is their speed in m/s? Convert this to mph.

19.)                        Express the mass of a 2g paper clip in pounds.

20.)                        A standard basketball has a volume of 7.47 L. find the volume of a basketball in fluid ounces.

21.)                        A quantity of oxygen was found to occupy 20 gallons. Express this volume in L

22.)                        A certain Dodge truck advertises an engine as a 5.2 L engine. Engines used to be measured in cubic inches. How many cubic inches is 5.2 L. (Remember 1 cm³ = 1 mL)