Scientific Notation Worksheet
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)
Significant Figures
Part E: 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 F: 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 G: Express the following numbers in their equivalent scientific notational form with the appropriate sig fig.
1. 123,876.3
2. 1,236,840
3. 422000
4. 0.000000000000211
5. 0.000238
6. 0.0000205
Part H: Identify the sums or differences of the following with the appropriate sig fig.
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 I: Express the product and the quotients of the following with the appropriate sig fig.
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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