SIGNIFICANT FIGURES - Mr. Ratledge Chemistry



SIGNIFICANT FIGURES

Tier 1

Determine the number of significant digits in each of the following:

1) 6.571 g

2) 0.157 kg

3) 28.0 mL

4) 2,500 m

5) 0.0700000 g

6) 30.07 g

7) 0.106 cm

8) 0.0067 g

9) 0.0230 cm

10) 26.509 cm

11) 54.52 cm

12) 0.12090 mm

13) 2.690 g

14) 43.07 cm

Indicate the number of significant figures then round each to the number of significant figures indicated.

For example:

1.234 has ______4___ significant figures and, rounded to 2 significant figures, is ___1.2____

1. 0.6034 has __________ significant figures and, rounded to 2 significant figures, is __________

2. 12,700 has __________ significant figures and, rounded to 2 significant figures, is __________

3. 12,700.00 has __________ significant figures and, rounded to 1 significant figures, is __________

4. 0.000983 has __________ significant figures and, rounded to 2 significant figures, is __________

5. 123342.9 has __________ significant figures and, rounded to 5 significant figures, is __________

6. 6.023 x 1023 has __________ significant figures and, rounded to 2 significant figures, is __________

7. .005600 has __________ significant figures and, rounded to 1 significant figures, is __________

8. 10000.5006 has __________ significant figures and, rounded to 5 significant figures, is __________

9. 2.0 x 10-3 has __________ significant figures and, rounded to 1 significant figures, is __________

10. 3.456110 has __________ significant figures and, rounded to 3 significant figures, is __________

Tier 2

Given calculations with the calculator answer, write the answers with the appropriate number of significant figures.

Example:

6.00 x 3.00 = 18 The answer should be ______18.0_____

1. 46 x 12 = 552 The answer should be _______________

2. 29.05 x 1.00 The answer should be _______________

3. 3.24 x 5.63 = 18.2412 The answer should be _______________

4. 654 ( 32 = 20.4375 The answer should be _______________

5. .024 x .063 = 1.512 x 10-3 The answer should be _______________

6. 22 x 14.3 = The answer should be _______________

7. 0.002 x 190 = The answer should be _______________

8. 7600.0 / 140.0 = The answer should be _______________

9. 791 / 10 = The answer should be _______________

10. 210 / 93210 The answer should be _______________

Multiply:

1) 2.6 x 3.78

2) 6.54 x .037

3) 3 x 2.51 x 400

4) 0.085 x 0.050 x 1.655

5) 3.08 x 5.22

6) 0.0036 x 0.02

7) 4.351 x 2.456 x 3.008

8) 35.7 x 0.78 x 2.3

Divide:

9) 35 / 0.651

10) 39.0 / 2.2

11) 0.5812 / 2.1

12) 40.80 / 5.0115

13) 3.76 / .1

14) 0.7 / 0.0360

Tier 3

Make the following Metric System conversions; keeping sig figs in mind and use scientific notation:

Number of Sig.Figs Converted to unit

1. 100 mg ______1________ = ______.1_______ g

2. 20 cm _______________ = _______________ m

3. 50 L _______________ = _______________ kL

4. 22.02 g _______________ = _______________ cg

5. 825 cm _______________ = _______________ km

6. 2,350 kg _______________ = _______________ g

7. 190 mL _______________ = _______________ cL

8. 52 km _______________ = _______________ m

9. 36.101 m _______________ = _______________ cm

10. 18 cm _______________ = _______________ mm

11. 6 g _______________ = _______________ mg

12. 4,259 mg _______________ = _______________ g

Answers

Tier 1

1) 4

3) 3

5) 6

7) 3

9) 3

11) 4

13) 4

1) 4, .60

3) 7, 10,000

5) 7, 123340

7) 4, .006

9) 2, .002

Tier 2

1) 550

3) 18.2

5) 1.5*10-3

7) .4

9) 80

1) 9.8

3) 3000

5) 16.1

7) 32.14

9) 54

11) .28

13) 40

Tier 3

1) .1g

3) .05 kL

5) 0.00825 km

7) 19 cL

9) 3610.1 cm

11) 6. x10^3 mg

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