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Scientific Notation Conversions
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Scientific Notation Conversions
Write numbers in scientific notation as a × 10ⁿ, where 1 ≤ a < 10. For standard form, move the decimal point according to the exponent.
Write in Scientific Notation
1.Write 6,240,000 in scientific notation.
2.Write 0.00058 in scientific notation.
3.Write 81,500,000,000 in scientific notation.
4.Write 0.00000704 in scientific notation.
5.Write 0.0392 in scientific notation.
Write in Standard Form
6.Convert 4.6 × 10⁵ to standard form.
7.Convert 2.03 × 10⁻³ to standard form.
8.Convert 7.18 × 10⁸ to standard form.
9.Convert 9.4 × 10⁻⁶ to standard form.
10.Convert 1.27 × 10⁴ to standard form.
Use and Recognize Scientific Notation
11.A telescope catalog lists a star as 64,000,000,000 miles away. Which scientific notation expresses this distance correctly?
- 6.4 × 10⁹ miles
- 6.4 × 10¹⁰ miles
- 64 × 10⁹ miles
- 0.64 × 10¹¹ miles
12.A dust particle has a mass of 3.6 × 10⁻⁷ grams. Write this mass in standard form, then give one reason scientific notation is useful for describing such a small quantity.
13.Match each scientific notation value with its standard-form value.
- 5.2 × 10³
- 8.1 × 10⁻⁴
- 3.7 × 10⁵
- 5.2 × 10⁴
- 5,200
- 370,000
- 52,000
- 0.00081
14.The number line shows powers of 10. Which power is marked by the point?
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