# Scientific Notation Worksheet

Name:Mr. Sheehan’s Pd. _

**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.*

*--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?

#### 7. Draw a target that is: A. Accurate, but not preciseB. 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 / density4. 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.

- 10.0C = ______Kelvin

- 323 K = ______C

- 367 K = ______C

- 200 C = ______K

- 283 C = ______K

- 1111 K = ______C

- 25C = ______K

- 373 K = ______C

- 100C = ______K

- 0C = ______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 ing/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 = ______g198g = ______Kg8 mm = ______cm

160 cm = ______mm 75 mL = ______uL6.3 cm = ______mm

109 dg = ______Kg500 um = ______cm 5.6 m = ______cm

250 m = ______Km5 L = ______mL26,000 cm = ______m

14 km = ______m16 cm = ______mm 56,500 mm = ______km

1 L = ______mL65 g = ______mg27.5 mg = ______g

480 cm = ______m2500 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

- 926.9 has 4 Significant Figures (SF)
- 707 has 3 SF
- 123.06 has 5 SF
- 0.0402 has 3 SF
- 0.82610 has 5 SF
- 338.00 has 5 SF

Equations

- 358.9
- 97.5
- 94.74
- 0.027
- 524
- 4.043
- 3.9
- 4.1

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

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

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

17. 4162.7 A)4000B)4200C) 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 10423,000

10)1.76 x 10-30.00176

11)1.901 x 10-70.0000001901

12)8.65 x 10-10.865

13)9.11 x 1039,110

14)5.40 x 10154.0

15)1.76 x 1001.76

16)7.4 x 10-50.000074

Accuracy and Precision:

6. 1st target = P, not A2nd target = A and P3rd target = A, not P

7. Refer to targets from #6.

Percent Error Problems

I.

II.

III.

IV.

Unit Practice:

1. density / 2. mass / 3. mass4. 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.

- 10.0C = ___283__ Kelvin
- 323 K = ___50__ C
- 367 K = ____94__ C
- 200 C = ____473__ K
- 283 C = ____556_ K
- 1111 K = ____838__ C
- 25C = ___298___ K
- 373 K = ____100_ C
- 100C = ____373_ K
- 0C = ____273_ K

**Density Practice:**

Answers with correct units & sig figs.:

- 218 g
- 6.16 dL
- 2.79 g/uL
- 4.08 g
- 78 g
- 37.4 L
- 2.59 mL
- 2.45 g/mL

**Unit Conversions*** - Convert the following metric measurements:*

1000 mg = **1 g198g = 0.198 Kg8 mm = 0.8** cm

160 cm = **1,600 mm 75mL = 75,000uL6.3 cm = 63** mm

109 dg = **0.0109 Kg500 um = 0.05cm5.6 m = 560** cm

250 m = **0.250 Km5 L = 5,000mL26,000 cm = 260** m

14 Km = **14,000 m16 cm = 160mm56,500 mm = 0.0565** Km

1 L = **1,000 mL65 g = 65,000 mg27.5 mg = 0.0275** g

480 cm = 4.8 m2500 m = 2.5 Km 923 cm = 9.23 m

27 g = 0.027 kg355 mL = 0.355 L0.025 Km = 2,500 cm