Chapter 1 The Nature of Science and Physics
1.11 Additional Exercises in conversions and scientific notation
Additional Exercises
- Evaluate 0.00000000552 × 0.0000000006188 and express the answer in scientific notation. You may have to rewrite the original numbers in scientific notation first.
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Evaluate 333,999,500,000 ÷ 0.00000000003396 and express the answer in scientific notation. You may need to rewrite the original numbers in scientific notation first.
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Express the number 6.022 × 1023 in standard notation.
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Express the number 6.626 × 10−34 in standard notation.
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When powers of 10 are multiplied together, the powers are added together. For example, 102 × 103 = 102+3 = 105. With this in mind, can you evaluate (4.506 × 104) × (1.003 × 102) without entering scientific notation into your calculator?
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When powers of 10 are divided into each other, the bottom exponent is subtracted from the top exponent. For example, 105/103 = 105−3 = 102. With this in mind, can you evaluate (8.552 × 106) ÷ (3.129 × 103) without entering scientific notation into your calculator?
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Consider the quantity two dozen eggs. Is the number in this quantity “two” or “two dozen”? Justify your choice.
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Consider the quantity two dozen eggs. Is the unit in this quantity “eggs” or “dozen eggs”? Justify your choice.
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Fill in the blank: 1 km = ______________ μm.
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Fill in the blank: 1 Ms = ______________ ns.
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Fill in the blank: 1 cL = ______________ ML.
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Fill in the blank: 1 mg = ______________ kg.
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Express 67.3 km/h in meters/second.
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Express 0.00444 m/s in kilometers/hour.
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Using the idea that 1.602 km = 1.000 mi, convert a speed of 60.0 mi/h into kilometers/hour.
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Using the idea that 1.602 km = 1.000 mi, convert a speed of 60.0 km/h into miles/hour.
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Convert 52.09 km/h into meters/second.
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Convert 2.155 m/s into kilometers/hour.
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Use the formulas for converting degrees Fahrenheit into degrees Celsius to determine the relative size of the Fahrenheit degree over the Celsius degree.
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Use the formulas for converting degrees Celsius into kelvins to determine the relative size of the Celsius degree over kelvins.
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What is the mass of 12.67 L of mercury?
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What is the mass of 0.663 m3 of air?
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What is the volume of 2.884 kg of gold?
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What is the volume of 40.99 kg of cork? Assume a density of 0.22 g/cm3.
Answers
1. 3.42 × 10−18
3. 602,200,000,000,000,000,000,000
5. 4.520 × 106
7 . The quantity is two; dozen is the unit.
9. 1,000,000,000
11. 1/100,000,000
13. 18.7 m/s
15. 96.1 km/h
17. 14.47 m/s
19. One Fahrenheit degree is nine-fifths the size of a Celsius degree.
21. 1.72 × 105 g
23. 149 mL