Unit and Significant Figure Practice



Unit and Significant Figure Practice

Do all work on a separate sheet of paper

I. How many significant figures are contained in each of the following?

1. 4180.

2. 0.014

3. 300.7

4. 0.00620

5. 1.2

6. 0.25

7. 3 x 106

8. 0.10040

9. 7.2575

10. 16.0000

11. 312

12. 0.0156

13. 3120

14. 6.8

15. 1.0080

16. 9.3 x 107

17. 2.546 x 103

18. 6.020 x 103

19. 3.25 x 10-4

20. 3 x 1010

II Scientific Notation: Express in Scientific Notation. (State the # of significant figures.)

1. 1.000

2. 0.025

3. 0.483

4. 36,000

5. 0.00007

6. 602,000,000.

7. 0.00050100

8. 364

9. 0.05

10. 2004

11. 80.

12. 0.000364

III Express the following in decimal form using the correct number of significant figures.

1. 2.546 x 103

2. 2.546 x 10-3

3. 0.00076 x 104

4. 0.00076 x 10-4

5. 23.4 x 103

6. 4 x 10-5

7. 0.005 x 102

8. 14 x 106

9. 39.5 x 10-3

10. 1.54 x 100

11. 18 x 101

12. 0.01 x 10-2

IV Perform the indicated calculations and express the answer using scientific notation and significant figures.

1. (4 x 108)(2 x 106) =

2. (4 x 10-8)(3 x 105) =

3. (10-3 x 101) ÷ 104 =

4. (2.1 x 106) ÷ [(0.7 x 103)(10-3)] =

5. 8.935 x 1.14 =

6. 0.0875 x 0.00135 =

7. 9.17 ÷ 68.53 =

8. 9.00 x 8.50 x 7.75

9. [pic]

10. [pic]

11. 765.35 – 18.931 =

12. (5.50)3 =

13. 5.0087 + 0.07653 =

14. 0.09754 + 1.086429 + 3.1875 =

15. 25.37 + 5.198 + 147.2 =

16. 3176 + 253.7 + 1.008 =

17. 9.57 ÷ 5.183 =

18. 1000. ÷ 20. =

V.

Unit Conversion and Dimensional Analysis Practice II

Do all work on a separate sheet of paper

1. 10 kL = cL

2. 4 km = m

3. 60 g = mg

4. 40 cm mm

5. 4 m = cm

6. 6 cL = mL

7. 40 mm = km

8. 60 m = km

9. 1,000 L = kL

10. 65 g = kg

11. 26 cL = L

12. 4 m = mm

13. 45 g = mg

14. 0.04 kg = cg

15. 0.1 L = kL

16. 0.06 cm = m

VI Dimensional Analysis

Do all work on a separate sheet of paper

1. If the average man requires 10 mg of iron (Fe) per day, how many lbs of steak must he consume per week?

⋄ 1.0 gram of steak contains .0020 mg of Fe.

2. How much will it cost to tile a 400. ft2 floor if there are 40. tiles per box, each tile is 1.5 ft2 and each box costs $13.50?

3. The average man needs .80g of calcium (Ca) per day. How many bottles of vitamin tablets must be consumed in one week in order to meet this requirement? Each bottle contains 100. tablets and each tablet contains 0.001 g of calcium.

4. The diameter of a Helium atom is 2.0 x 10-8 cm. How many helium atoms placed side-by-side would give the length of a meter?

5. If gasoline costs $0.60 per gallon, what is the cost per liter?

6. If sugar costs $0.12 per lb, what is the cost per kg?

7. Setup the following conversions:

a. 1.00 g/cc to lbs/ft3 d. 14.7 lbs/in2 to g/cm2

b. 20. mg/sec to lbs/day e. 520. mg/ml to oz/qt

c. 60 mi/hr to ft/sec f. 25 ml/min to liters/week

8. Solve the following:

a. How many cm3 are in 1 m3? c. How many liters are in 1 m3?

b. How many in3 are in 1 liter?

9. Calculate the volume in liters of a box measuring 12 cm by 120 mm by 1.2 m.

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