Scientific Notation Worksheet



Name: ________________________

Period: ____ Date: ___________

Chemistry: Scientific Notation

Part A: Express each of the following in standard form.

1. 5.2 x 103 5. 3.6 x 101

2. 9.65 x 10–4 6. 6.452 x 102

3. 8.5 x 10–2 7. 8.77 x 10–1

4. 2.71 x 104 8. 6.4 x 10–3

Part B: Express each of the following in scientific notation.

1. 78,000 5. 16

2. 0.00053 6. 0.0043

3. 250 7. 0.875

4. 2,687 8. 0.012654

Part C: Solve the following addition and subtraction problems.

1. 5 x 10–5 + 2 x 10-5 4. 7 x 108 – 4 x 108

2. 1.26 x 104 + 2.5 x 103 5. 7.06 x 10-3 + 1.2 x 10-4

3. 4.39 x 105 – 2.8 x 104 6. 5.36 x 10-1 – 7.40 x 10-2

Part D: Use the exponent function on your calculator (EE or EXP) to compute the following.

1. (6.02 x 1023) (8.65 x 104) 8. (5.4 x 104) (2.2 x 107)

4.5 x 105

2. (6.02 x 1023) (9.63 x 10–2) 9. (6.02 x 1023) (–1.42 x 10–15)

6.54 x 10–6

3. 5.6 x 10–18 10. (6.02 x 1023) (–5.11 x 10–27)

8.9 x 108 –8.23 x 105

4. (–4.12 x 10–4) (7.33 x 1012) 11. (3.1 x 1014) (4.4 x 10–12)

–6.6 x 10–14

5. 1.0 x 10–14 12. (8.2 x 10–3) (–7.9 x 107)

4.2 x 10–6 7.3 x 10–16

6. 7.85 x 1026 13. (–1.6 x 105) (–2.4 x 1015)

6.02 x 1023 8.9 x 103

7. (–3.2 x 10–7) (–8.6 x 10–9) 14. (7.0 x 1028) (–3.2 x 10–20) (–6.4 x 1035)

Part E: Figure out the relationship between units.

1. Convert 360s to ms 4. Convert 5m to cm

2. Convert 5600dm to m 5. Convert 6800 cm to m

3. Convert 72g to mg 6. Convert 25 kg to Mg

Significant Figures

Part F: State the number of significant digits in each measurement. 

1. 2804 m         5. 2.84 km               9.  5.029 m             

2.  0.003068 m         6.  4.6 x 105 m         10. 4.06 x 10-5 m   

3.  750 m            7.  75 m                              11. 75,000 m

4.  75.00 m        8.  75,000.0 m        12. 10 cm

Part G: Round the following numbers as indicated.

To four figures:

3.682417 21.860051 375.6523 112.511 45.4673

To one decimal place:

1.3511 2.473 5.687524 7.555 8.235

To two decimal places:

22.494 79.2588 0.03062 3.4125 41.86632

Part H: Solve the following problems and report answers with appropriate number of significant digits.

1. 6.201 cm + 7.4 cm + 0.68 cm + 12.0 cm = 

2. 1.6 km + 1.62 m + 1200 cm =  

3. 8.264 g - 7.8 g =   

4. 10.4168 m - 6.0 m =  

5. 12.00 m + 15.001 kg =  

6. 1.31 cm x 2.3 cm =

7. 5.7621 m x 6.201 m =

8. 20.2 cm / 7.41 s =  

9. 40.002 g / 13.000005 g =

Part H: Express the following numbers in their equivalent standard notational form.

1. 123,876.3

2. 1,236,840

3. 422000

4. 0.000000000000211

5. 0.000238

6. 0.0000205

Part I: Identify the sums or differences of the following.

1. (8.41 X 104) + (9.71 X 104) =

2. (5.11 X 102) - (4.2 X 102) =

3. (8.2 X 103) + (4.0 X 103) =

4. (6.3 X 10-2) - (2.1 X 10-2) =

Part J: Express the product and the quotients of the following.

1. (3.56 X 105) (4.21 X 106) =

2. (2 X 107) (8 X 10-9) =

3. (4.11 X 10-6) (7.51 X 10-4) =

4. 8.45 X 107 / 6.74 X 103 =

5. 9.7 X 108 / 8.6 X 10-2 =

6. 4.7 X 10-2 / 5.7 X 10-6 =

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