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Scientific Notation and Significant Figure Practice
Section A: The Definition of the Notation (Decimal => Scientific) Write the following numbers in
scientific notation.
1. 1001
2. 53
3. 6,926,300,000
4. -392
6. 0.13592
7. -0.0038
8. 0.00000013
9. -0.567
5. 0.00361
10. 7854000000000000
Section B: Converting Back (Scientific => Decimal)
1. 1.92 x 103
2. 3.051x101
3. -4.29 x 102
4. 6.251 x 109
6. 1.03 x 10-2
7. 8.862 x 10-1
8. 9.512 x 10-8
9. -6.5 x 10-3
5. 8.317 x 106
10. 3.159 x 102
Section C: Multiplication, Division and ... with Scientific Notation Use Scientific Notation (and only
the scientific notation!) to find the answer to the following multiplications, divisions, additions. Express
the answers with the correct numbers of significant figures.
1. 4.1357 x 10-15 * 5.4 x 102 = ?
2. 1.695 x 104 ÷ 1.395 x 1015 = ?
3. 4.367 x 105 * 1.96 x 1011 = ?
4. 6.97 x 103 * 2.34 x 10-6 + 3.2 x 10-2= ?
5. 5.16 x 10-4 ÷ 8.65 x 10-8 + 9.68 x 104 = ?
Section D: Significant Figures For the following, write each with the correct number of significant
figures.
1. 2.38617954 x 10-1 m * 1.15197705 x 106 m
2. 3.0001 s * 5 s
3. 1.12 x 105 cm * 6.06 x 105 cm
4. 2.27513 x 103 mm * 1.9376 x 102 mm
5. 2 x 101 s * 3.0 x 101 s
6. 5.567 x 108 g / 2.215 x 108 mL
7. 2.775 x 10-4 * 4.775 x 104
8. 5 dg / 8.14 x 102 mL
9. 4.7192 x 102 kg / 3.862 x 10-4 L
Scientific Notation and Significant Figure Practice
Section A: The Definition of the Notation (Decimal => Scientific) Write the following numbers in
scientific notation.
1. 1001
2. 53
3. 6,926,300,000
4. -392
6. 0.13592
7. -0.0038
8. 0.00000013
9. -0.567
5. 0.00361
10. 7854000000000000
Section B: Converting Back (Scientific => Decimal)
1. 1.92 x 103
2. 3.051x101
3. -4.29 x 102
4. 6.251 x 109
6. 1.03 x 10-2
7. 8.862 x 10-1
8. 9.512 x 10-8
9. -6.5 x 10-3
5. 8.317 x 106
10. 3.159 x 102
Section C: Multiplication, Division and ... with Scientific Notation Use Scientific Notation (and only
the scientific notation!) to find the answer to the following multiplications, divisions, additions. Express
the answers with the correct numbers of significant figures.
1. 4.1357 x 10-15 * 5.4 x 102 = ?
2. 1.695 x 104 ÷ 1.395 x 1015 = ?
3. 4.367 x 105 * 1.96 x 1011 = ?
4. 6.97 x 103 * 2.34 x 10-6 + 3.2 x 10-2= ?
5. 5.16 x 10-4 ÷ 8.65 x 10-8 + 9.68 x 104 = ?
Section D: Significant Figures For the following, write each with the correct number of significant
figures.
1. 2.38617954 x 10-1 m * 1.15197705 x 106 m
2. 3.0001 s * 5 s
3. 1.12 x 105 cm * 6.06 x 105 cm
4. 2.27513 x 103 mm * 1.9376 x 102 mm
5. 2 x 101 s * 3.0 x 101 s
6. 5.567 x 108 g / 2.215 x 108 mL
7. 2.775 x 10-4 * 4.775 x 104
8. 5 dg / 8.14 x 102 mL
9. 4.7192 x 102 kg / 3.862 x 10-4 L
Section A: The Definition of the Notation (Decimal => Scientific)
Write the following numbers in scientific notation.
1. 1001 = 1.001x103
2. 53 = 5.3x101
3. 6,926,300,000 = 6.9263x109
4. -392 = -3.92x102
6. 0.13592 = 1.3592x10-1
7. -0.0038 = -3.8x10-3
8. 0.00000013 = 1.3x10-7
9. -0.567 = -5.67x10-1
5. 0.00361 = 3.61x10-3
Section B: Converting Back (Scientific => Decimal)
1. 1.92 x 103 = 1,920
2. 3.051x101 = 30.51
3. -4.29 x 102 = -429
4. 6.251 x 109 = 6,251,000,000
6. 1.03 x 10-2 = 0.0103
7. 8.862 x 10-1 = 0.8862
8. 9.512 x 10-8 = 0.00000009512
9. -6.5 x 10-3 = -0.0065
5. 8.317 x 106 = 8,317,000
10. 3.159 x 102 = 315.9
Section C: Multiplication, Division and ... with Scientific Notation Use Scientific Notation (and only
the scientific notation!) to find the answer to the following multiplications, divisions, additions.
1. 4.1357 x 10-15 * 5.4 x 102 = 2.2 x 10-12
2. 1.695 x 104 ÷ 1.395 x 1015 = 1.215 x 10-11
3. 4.367 x 105 * 1.96 x 1011 = 8.56 x 1016
4. 6.97 x 103 * 2.34 x 10-6 + 3.2 x 10-2 = 4.83 x 10-2
5. 5.16 x 10-4 ÷ 8.65 x 10-8 + 9.68 x 104 = 1.03 x 105
Section D: Significant Figures For the following, write each with the correct number of significant
figures.
1. 2.38617954 x 10-1 * 1.15197705 x 106 = 2.7488240 x 105
2. 3.0001 * 5 = 15.001
3. 1.12 x 105 * 6.06 x 105 = 6.79 x 1010
4. 2.27513 x 103 * 1.9376 x 102 = 4.4083 x 105
5. 2 x 101 * 3.0 x 101 = 6.0 x 102
6. 5.567 x 108 / 2.215 x 108 = 2.513 x 100
7. 2.775 x 10-4 * 4.775 x 104 = 1.325 x 101
8. 5 / 8.14 x 102 = 6.14 x 10-3
9. 4.7192 x 102 / 3.862 x 10-4 = 1.222 x 106
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