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Chem IH Chapter 2 Remediation Assignment
1. Scientific Notation Review: See note packet page 1.
Scientifc notation has all numbers in the form: # . # # # x 10#
Example: 42000 = 4.2 x 104 or
0.00012 = 1.2 x 10-4
In scientific notation there is a digit in the ones place, then a decimal, then the
rest of the significant figures, then x 10 raised to a power.
To change a number into scientific notation, look at the direction you have to move
the decimal to, to get it into the scientific notation form.
If the decimal point must be moved to the left then the power on the 10 is
POSITIVE by the number of places you moved the decimal. Example: 42000
In this example, 42000 already has the decimal implied after the last 0, so to put it into
scientific notation, we have to move it to the left 4 places. So the power on the 10 is
positive 4.
Therefore, 42000 = 4.2 x 104.
 Place the following numbers into scientific notation and enter them on your
calculator using the EE function!
100
_____________
24500
4500.55
10,000
_____________
_____________
_____________
250,000,000
5000.5
_____________
_____________
If the decimal point must be moved to the right, then the power on the 10 is
NEGATIVE by the number of places you moved the decimal. Example: 0.00012
In this example, to put 0.00012 into scientific notation, we have to move the decimal 4
places to the right. So the power on the 10 is NEGATIVE 4.
Therefore 0.00012 =
-4
1.2 x 10
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 Place the following numbers into scientific notation and enter them on your
calculator using the EE function!
0.001
_____________
.02450
_____________
.00002550 _____________
.0000115
_____________
.010500
_____________
.000055505 _____________
2. Significant Figures Review: See Note Packet page 3
Review the Atlantic Pacific Rule on page 3 in the packet to determine the number of significant
figures.
Remember the when you start counting from either side, pass over the zeros until you come to
the first nonzero number. Then start counting and count all numbers, including zeros.
Remember that when you are solving a problem, your answer should have the same number of
sig figs as the least number of sig figs given in the problems. Round your answer to that
number of sig figs!
Example: 45000 x 2.05000
The first number (45000) has only 2 sig figs. The second number (2.05000) has 6 sig figs. So
when you multiple these numbers 45000 x 2.05000 you get 92250. The answer should be
rounded to only 2 sig figs, since 45000 has only 2 sig figs. So we have to round 92250 to 2 sig
figs. The closest number with only 2 sig figs is 92000. Then we put it into scientific notation
since it is larger than 1000. So the answer should be 9.2 x 104.
 Solve problems 11-20 on page 4 of your numbers homework packet. Round each
number to the correct number of sig figs. Change your answer to scientific notation if
the number is larger than 1000 or smaller than .001.
 Answers:
12. _____________________
13. _____________________
14. _____________________
15. _____________________
16. _____________________
17. _____________________
18. _____________________
19. _____________________
20. _____________________
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3. Metric Unit Review
See page 3 of your note packet
MEMORIZE THESE Metric Conversion factors: You must retain these all year.
 fill in the blanks
1Kilogram (kg) = ___________ g
1 gram (g) = _____________milligrams (mg)
1 meter (m) = _____________centimeters (cm)
1L = ______________milliliters = _____________ cubic centimeters (cm3)
4. Converting Units with Dimensional Analysis.
 You must use the grid to solve all problems listed in this assignment.
 You must show all units cancelling.
Study the following example:
To start the problem, place the quantity and unit that you are trying to convert from on the top
left of the grid.
Now place the unit you want to find on the right. This is the unit you want to wind up with on
the top of your grid. Now find an equality from the conversion chart on page 6 in your packet
that allows you to cancel out your top left unit, and gives you the units you are trying to find. It
may take a couple of steps.
Multiple numbers across the top of the grid, and divide by the numbers on the bottom. If there
is more than one number on the bottom and you need to multiply them, USE PARENTHESES ON
YOUR CALCULATOR!
For example:
 Convert 10 kilometers to yards.
10km
1.
2.
3.
_______ yd
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1. Place 1 mile = 1.609 km here so that km cancels.
2. Place 5280 ft. = 1 mile here so that mile cancels.
3. Place 1 yd = 3 ft here so that ft. cancels.
Multiple the top 3 numbers, and divide by the product of the bottom 3 numbers. When you
multiple the bottom 3 numbers together, you must use parentheses.
The answer is 1.09 x104 yd.
When there are numbers on the top and the bottom to convert, convert them 1 at a time – the
top first, then the bottom. For example:
In this problem, you want to first convert the gal to L (2 steps). Then convert the mi to km.
cancel units and check to make sure you have everything but km crossed out on the top, and
everything but L crossed out on the bottom. Multiple across the top, divide by the product on
the bottom.
 Convert 354 g/L to lb/gal:
5. Converting with squares and cubes:
These work the same way, but YOU have to create the square or cube by squaring (or cubing)
the equality on the chart in your calculator.
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Don’t forget to square the 5280!
 Convert 50 cm3 to ft3
6. Converting volumes: cubic units to L or mL.
The key here is that 1 mL = 1 cm3 and 1000mL = 1L
A cubic unit such as ft3 or in3 or mi3 can be converted to cm3 by using the conversion from the
table that YOU cube.
For example: 1 ft= 30.48cm so 1ft3 = (30.48cm) 3 = 2.83 x 104 cm3
 Convert 12 yd3 to Liters
The answer is 9.2 x 103L
7. Finding the volume of a rectangular prism in L or mL from length
measurements.
This could be a pool, an iceberg, or a room.
Volume = LxWxH – But the units must all be the same! If one is in feet and the other are in
meters, convert all to meters! Since you are multiplying mxmxm, the units of volume are m3.
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You can then use the method above to convert m3 to L. (Conversion is on chart: 1L = 1x10-3 m)
or convert to cm3 , remember that 1 cm3 = 1mL.
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8. Finding the Mass of a substance filling a given volume.
Find the volume, then use the Density equation to find the mass.
D=m/v so m= D*V.
Example: We found the volume of the room above, then use the density to solve for mass.
Remember that the density of water is 1 g/mL, which is the same as 1kg/L.
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9. Density and Specific Gravity Problems.
Density = m/v. The units are g/mL
Specific Gravity is the same as density, but without units.
When finding Density or specific gravity of a liquid in the lab, you often have find the mass of a
liquid when it is in a bottle, then subtract the mass of the empty bottle to calculate the mass of
the liquid. Then apply to density or specific gravity formula to the mass and volume of the
liquid.
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