Review2Solns - Chapters 4 5 Review for Test 2 Name Practice...

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Chapters 4 & 5 Review for Test 2 Name: Practice these problems. Study your quizzes, worksheets, examples done in class, and WileyPlus homework. 1. State the form of any real number in scientific notation. 2. Convert from scientific notation to standard notation. (a) 3 . 56 · 10 - 5 Solution: 0.0000356 (b) 10 8 Solution: 100,000,000 (c) - 2 · 10 3 Solution: -2,000 3. Convert from standard notation to scientific notation. (a) 0.0000214 Solution: 2 . 14 · 10 - 5 (b) -895.74 Solution: - 8 . 9574 · 10 2 (c) -0.3 Solution: - 3 · 10 - 1 4. 230 μ s (microseconds) = N · 10 n seconds where N = 2.3 and n = -4 . Solution: 230 μs = 230 · 10 - 6 s = 0 . 000230 s = 2 . 3 · 10 - 4 5. State the five rules of exponents (for adding/subtracting/multiplying/distributing expo- nents). Solution: Check your notes. 6. Do these five rules hold for . . . (a) 0? (b) integers? (c) fractions? (d) all real numbers? Solution: Yes to all. 7. Write base a raised to the fractional exponent m/n in three different forms. You may use the radical-symbol k .
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Chapters 4 & 5 Review Page 2 Solution: a m/n = n a m = ( n a ) m 8. Complete the exponents worksheet. 9. An earthquake in China rates a 3.25 on the Richter scale. Ten years later China has a major 6.25 earthquake. How many times less intense was the first earthquake? Solution: 6 . 25 - 3 . 25 = 3 (orders of magnitude) 10 3 = 1 , 000 times less intense 10. The mass of an electron is 1 . 26 · 10 - 27 grams. A sperm whale weighs approximately 7800 grams. How much smaller is the order of magnitude of an atom compared to a sperm whale? Solution: 1 . 26 × 10 - 27 7 . 8 × 10 3 = . 162 × 10 - 30 = 1 . 62 × 10 - 31 An atom weighs 31 orders of magnitude less than a sperm whale. (In other words, an atom weighs 16,200,000,000,000,000,000,000,000,000,000 times less than a sperm whale.) 11. Using the log function , complete the definition.
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