MATH WORKSHEET

FLC Chem 305 Worksheet 1 - Mathematics

FLC Chem 305 Worksheet 1 - Mathematics

FLC Chem 305 Worksheet 1 - Mathematics

Folsom Lake College – Chemistry 305 Worksheet 1 – Mathematics

Heila Alnaib

Significant figures, scientific notation and the metric system & Calculator 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 operations 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	or		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.	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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