MATH WORKSHEET
Worksheet1Mathematics_done x
FLC
Chem 305 Worksheet 1 – Mathematics
FLC Chem 305 Worksheet 1 – Mathematics
FLC Chem 305 Worksheet 1 – Mathematics
Folsom Lake Colle
g
e – Chemistry 305 Worksheet 1 – Mathematics
Heila Alnaib
Significant figures, scientific notation and the metric system & Calculat
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check
1.
Give the number of significant figures present for each of the following values:
8.3 g : 2 significant figures
10.9 mL; 3 significant figure
1.030 g ;4 significant figures
0.00015; 2 significant figure
39.800 g/mL; 5 significant figures
1.00006 g :6 significant figures
11.3 x 10-6 ;3 significant figures
0.033 x 102 ;2 significant figures
5.010 x 1023 atoms;3 significant figures
2.
Perform the following exponential calculations:
102 x 104 = 106 10-3 x 1025 = 1022 10-12 x 10-14 = 10-26
102 x 104 =106 10-5 x 104 = 10-1 10-12 x 10-14 = 10 -26
3.
Express each of the following in scientific notation and then express the power of ten using the nearest letter equivalent:
Scientific Notation Letter Equivalent
Example: 9,300 g 9.3 x 103 g 9.3 kg
0.00345g 3.45*10^-3 g
3.45 Kg
86,400,000g 8.64 *10^7 g 8.64 *10^4Kg
98.2
L
9.82 *10^ 1 L
0.963L 9.63*10^2 L
0.000001230g Ag 1.23* 10^-6 g Ag
8,009,000,000 atoms Ag 8.009*10^9 atoms Ag
4.
Perform the following operatio
ns
and express each answer to the correct number of significant figures. Be sure to include the resulting units.
Division:
3.693 g /1.67 mL = 2.2113772 g/mL
80.2 g /7.2 mL = 11.138889g/mL
49,693 g/23.79 mL = 2088.8188g/mL
180.2 g/ 17.2 mL = 10.476744g/mL
3,093 miles/ 62.3 hours = 49.64687miles/hours
$809/76.2 hours = $10.616798/hour
Multiplication:
533.574 Km/hr
(14.723 x 105 m) x (6.2 x 108 m) = 91.2826 *1013m^2
Addition and Subtraction:
1.872 g + 2.35 g + .07983 g = 4.30183g
16.47 mL + 8.32 mL – 24.00 mL = 0.79mL
Combined Problems:
0.0149801
(12.01 x 11.2)
0.195214
(10.1 x 9.21)
Calculator problems:
These problems are to test your use of your calculator. There are at least 5 different logics used by as many companies for calculators. These problems will test to see if you are inputting numbers correctly. If you do not get the number given, or have confusion on how to best operate your calculator, please see the instructor.
| 1. |
(263 x 104) x (4.96 x 105) = |
1.30448 x 1012 |
or |
1.30 x 1012 |
|
| 2. |
(482 x 103) x (5.2 x 10-2) = |
2.5064 x 104 |
2.5 x 104 |
3.
9.26923 x 108 or 9.3 x 108
4.
1.88 x 103
|
5. 10-3.47 = .38 x 10-4 |
|||
|
6. – log 6.02 x 10-9 = 8.220404 |
Scientific Notation: Solve the following problems and express in scientific notation.
3.2 x 10-5 + 7.09 x 10-5 = 10.29* 10-5 or 10.29*10-4
1. 3.21 x 102 + 9.423 x 103 = 9744 or 9.744*103
2. 6.1 x 10-2 – 1.46 x 10-3 = 0.05954 or 5.954*10^-2
(3.6 x 104)(1.56 x 105) = 5616000000 or 5.616*10^9
3. (5.7 x 10-6) ÷ (2.8 x 10-8) = 2.03571*10^-14 or
(2.43 x 10-23) ÷ (1.57 x 10-11)2 = 2.312467* 10^-1
4. (3.33 x 10-3)(6.7 x 10-5) ÷ [(8.995 x 10-4)(7.0 x 102)] = 3.5434*10-13
Metric unit conversions: Supply the appropriate power of 10 to convert the first value to the same value with the indicated unit.
1. 3.2 x 10-5 m = 3.2*10^4 nm
|
2.67 ug = |
2.67*10^-6 |
g |
| 3. |
9.16 x 107 kL = |
9.16*10^10 |
L |
| 4. |
4.184 x 104 J = |
4.184*10^1 |
kJ |
| 5. |
9.99 ms = |
9.99*10^6 |
ns |
| 6. |
7.50 x 1012 cm = |
7.50*10^6 |
km |
|
7. |
6.82 m2 = |
6.82*10^4 |
cm2 |
Algebra: Solve the following problems for x
1. 4x = 7 + 1
Solution
4x=8
4x/4 =8/4= 2
x=2
2. 3x – 1.2 = 16
Solution
3x= 16+1.2=17.2
3x=17.2
x=17.2/3= 5.733333
x=5.733333
3. (54.9) / (37 + 273) = 4.8 / x
Solution
(54.9)/(37+273)= 4.8/x
(54.9)/300 = 4.8/x
x=(300/54.9)*4.8
x=26.2295082
4. PV = Xrt
Solution
X=PV/rt
5. log x = 3.1
solution
x=10^(3.1)= 1258.925412
6.). x = 2.34.5 =42.43999
Log and anti-log functions: Give numerical answers for the following log and anti-log problems
1.log 6.2 x 10-6 =-5.20761
2.). log 3.8 x 10-9 = -8.420216403
3.).- log 4.2 x 10-3=2.37675071
4.). – log 2.1 x 10-7 =6.677780705
5.). 10^2.31= 0.004897788
6.). 10-5.27 = 5.37032*10^-6
7.). 10-8.93 = 1.1749*10^-9
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