Scientific Notation Worksheet



Chem Chp 3 Study Guide

--How many sig figs are in each of the following examples:

A. 926.9

B. 707

C. 123.06

D. 0.0402

E. 0.82610

F. 338.00

--Solve the problems below keeping in mind the rules for each operation.

[pic]

--Round the following numbers to A) 1 B) 2 C) 3 significant figures.

15. 0.6824 A) B) C)

16. 12.84 A) B) C)

17. 4162.7 A) B) C)

Scientific Notation Worksheet

Convert the following numbers into scientific notation:

1) 3,400 _______________________________

2) 0.000023 _______________________________

3) 101,000 _______________________________

4) 0.010 _______________________________

5) 45.01 _______________________________

6) 1,000,000 _______________________________

7) 0.00671 _______________________________

8) 4.50 _______________________________

Convert the following numbers into standard notation:

9) 2.30 x 104 _______________________________

10) 1.76 x 10-3 _______________________________

11) 1.901 x 10-7 _______________________________

12) 8.65 x 10-1 _______________________________

13) 9.11 x 103 _______________________________

14) 5.40 x 101 _______________________________

15) 1.76 x 100 _______________________________

16) 7.4 x 10-5 _______________________________

6. Are the following targets accurate, precise, both, or neither?

[pic] [pic] [pic]

7. Draw a target that is:

A. Accurate, but not precise B. Precise, but not accurate

Percent Error Problems – Find the percent error for each problem below.

I. Samantha measured the volume of her Mountain Dew before she drank it for her breakfast. She measured the volume of the soda in the 355 mL bottle as 343 mL.

II. Clyde was directed to weigh a standard 500.0 g mass on the balance. He weighed the object and reported 458.3 g.

III. Panhia had recorded her grades in her notebook. She concluded she had 250 points. However, her instructor determined that she had 225 points.

IV. Drew went to his instructor with a problem. Drew was told to measure 35.0 cm of copper wire to use in an experiment. Since his ruler only measured up to 30.5 cm, he used this amount instead.

Unit Practice - What type of measurement is indicated by each of the following units? Choices are in the last column.

|1. g/mL |2. g |3. mg |density |

|4. s |5. dL |6. L |length |

|7. km |8. mm |9. kg/cL |mass |

| | | |time |

| | | |volume |

What are the abbreviations for the following units?

|milliliter_______ |milligram_______ |kilometer_______ |centimeter_______ |

|kilogram_______ |millimeter_______ |second_______ |gram_______ |

|meter_______ |liter_______ |decigram_______ |micrometer_______ |

Temperature Conversion Practice

*Convert the following temperatures as directed.

1. 10.0(C = ______________ Kelvin

2. 323 K = ______________ (C

3. 367 K = ______________ (C

4. 200 (C = ______________ K

5. 283 (C = _____________ K

6. 1111 K = ______________ (C

7. 25(C = ______________ K

8. 373 K = _____________ (C

9. 100(C = _____________ K

10. 0(C = _____________ K

Density Practice

1) A certain metal has a density of 15.6 g/L. You have 14.0 L of this metal. What is the total mass of the metal that you have?

2) A substance has a density of 5.67 g/dL. What volume is occupied by 34.9 g of this substance?

3) If an object has a mass of 67.9 g and occupies a volume of 24.3 uL, what is the density of the object in g/uL ?

4) A particular material has a density of 4.93 g/mL. What is the mass of 0.827 mL of this material?

5) An element has a density of 9.74 g/kL. You have 8.0 kL of it. What is the mass of the element that you have?

6) The density of a substance is 4.91 g/L. What volume in L is occupied by 183.5 g of this substance?

7) What is the volume occupied by 9.87 g of metal if it is 3.81 g/mL?

8) If an object is 78.9 g and occupies 32.2 mL, what is its density?

Unit Conversions - Convert the following metric measurements:

1000 mg = _________ g 198g = ________ Kg 8 mm = ________ cm

160 cm = __________ mm 75 mL = __________ uL 6.3 cm = ________ mm

109 dg = __________ Kg 500 um = __________ cm 5.6 m = __________ cm

250 m = __________ Km 5 L = __________mL 26,000 cm = ________ m

14 km = ________ m 16 cm = _______mm 56,500 mm = _________ km

1 L = __________ mL 65 g = __________ mg 27.5 mg = __________ g

480 cm = __________ m 2500 m = __________ Km 923 cm = __________ m

27 g = ________ kg 355 mL = ________ L 0.025 Km = __________ cm

Chem Chp 3 Study Guide - Answer Sheet

Counting Sig Figs

A. 926.9 has 4 Significant Figures (SF)

B. 707 has 3 SF

C. 123.06 has 5 SF

D. 0.0402 has 3 SF

E. 0.82610 has 5 SF

F. 338.00 has 5 SF

Equations

G. 358.9

H. 97.5

I. 94.74

J. 0.027

K. 524

L. 4.043

M. 3.9

N. 4.1

--Round the following numbers to A) 1 B) 2 C) 3 significant figures.

15. 0.6824 A) 0.7 B) 0.68 C) 0.682

16. 12.84 A) 10 B) 13 C) 12.8

17. 4162.7 A) 4000 B) 4200 C) 4160

Scientific Notation

Convert the following numbers into scientific notation:

1) 3,400 3.4 x 103

2) 0.000023 2.3 x 10-5

3) 101,000 1.01 x 105

4) 0.010 1.0 x 10-2

5) 45.01 4.501 x 101

6) 1,000,000 1 x 106

7) 0.00671 6.71 x 10-3

8) 4.50 4.50 x 100

Convert the following numbers into standard notation:

9) 2.30 x 104 23,000

10) 1.76 x 10-3 0.00176

11) 1.901 x 10-7 0.0000001901

12) 8.65 x 10-1 0.865

13) 9.11 x 103 9,110

14) 5.40 x 101 54.0

15) 1.76 x 100 1.76

16) 7.4 x 10-5 0.000074

Accuracy and Precision:

6. 1st target = P, not A 2nd target = A and P 3rd target = A, not P

7. Refer to targets from #6.

Percent Error Problems

I. [pic]

II. [pic]

III. [pic]

IV. [pic]

Unit Practice:

|1. density |2. mass |3. mass |

|4. time |5. volume |6. volume |

|7. length |8. length |9. density |

Unit Abbreviations

|milliliter___mL____ |milligram___mg____ |kilometer__km____ |centimeter___cm___ |

|kilogram___kg___ |millimeter___mm___ |second___s____ |gram__g_____ |

|meter____m___ |liter____L___ |decigram___dg___ |micrometer__um____ |

Temperature Conversion Practice

*Convert the following temperatures as directed.

1. 10.0(C = ___283__ Kelvin

2. 323 K = ___50__ (C

3. 367 K = ____94__ (C

4. 200 (C = ____473__ K

5. 283 (C = ____556_ K

6. 1111 K = ____838__ (C

7. 25(C = ___298___ K

8. 373 K = ____100_ (C

9. 100(C = ____373_ K

10. 0(C = ____273_ K

Density Practice:

Answers with correct units & sig figs.:

1. 218 g

2. 6.16 dL

3. 2.79 g/uL

4. 4.08 g

5. 78 g

6. 37.4 L

7. 2.59 mL

8. 2.45 g/mL

Unit Conversions - Convert the following metric measurements:

1000 mg = 1 g 198g = 0.198 Kg 8 mm = 0.8 cm

160 cm = 1,600 mm 75mL = 75,000 uL 6.3 cm = 63 mm

109 dg = 0.0109 Kg 500 um = 0.05 cm 5.6 m = 560 cm

250 m = 0.250 Km 5 L = 5,000mL 26,000 cm = 260 m

14 Km = 14,000 m 16 cm = 160mm 56,500 mm = 0.0565 Km

1 L = 1,000 mL 65 g = 65,000 mg 27.5 mg = 0.0275 g

480 cm = 4.8 m 2500 m = 2.5 Km 923 cm = 9.23 m

27 g = 0.027 kg 355 mL = 0.355 L 0.025 Km = 2,500 cm

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