Rec1a_f04 - Recitation Activity 1 (Chem 121) Significant...

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Recitation Activity 1 (Chem 121) Chapters 1 & 2 1. How many significant figures are there in the following numbers: a. 75.1 b. 7.510 × 10 1 c. 0.03400 d. 125,000 3 s.f. 4 s.f. 4 s.f. at least 3 s.f. 2. Carry out the following calculations and express the answer using the correct number of significant figures. Use scientific notation as appropriate. a. 186.25 + 3.2 = 189.45 ? 189.5 (4 s.f.) b. 661/0.0021 = 314761.9 ? 310000 ? 3.1 x 10 5 (2 s.f.) c. (44)(0.034) + (5.226)(2.2511) = 13.26 ? 13.3 (3 s.f.) 3. What’s the point of significant figures anyway. Consider the following example from the world of finance. Let’s say you took $5,000 (or $5.000 × 10 3 to be precise) and invested it in the stock market instead of using it on tuition (this would not have been a bad idea for some students in this class, statistically speaking of course). If you bought Hitachi stock, which is very volatile right now, at its rolling year long low ($40.95) and sold at its 52 week high ($81.35), how much money would you have made? Now, if your broker lied to you and said that stocks prices were only recorded to two significant figures, you would have lost how much of that amount? If you invested $5,000 in the stock market you could buy 122.1 or 122 stocks. As a profit you would make ($81.35-$40.95) or $40.40 per stock. Multiply $40.40/stock x 122 stocks and the total profit ends up being $4928.80.
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This note was uploaded on 07/17/2008 for the course CHEM 121 taught by Professor Wyzlouzil during the Fall '07 term at Ohio State.

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Rec1a_f04 - Recitation Activity 1 (Chem 121) Significant...

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