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Unformatted text preview: Dealing with Uncertainty Wednesday January 12, 2011 Significant Digits Type of Digit Significance Nonzero digits Always Significant Zeros that follow a nonzero digit and lie to the right of the decimal point (as in 4.20 or 3.00) Always significant Zeros between either nonzero digits(as in 4002 or 3.06) or other significant zeros (such as the first zero in 30.0) Always significant Zeros to the left of the first nonzero digit ( as in 0.006 or 0.00052) Never significant Zeros the the right of the last nonzero digit but before the decimal point (as in 40,000 or 210) Not significant unless otherwise stated. Example 1. State the number of significant digits and the implied meaning of the following numbers: 1. a time of 11.90 seconds Solution 4 significant digits. The time is measured to the nearest 0.01 second. 2. a length of 0.000067 meter Solution 2 significant digits. The length is measured to the nearest 0.000001 meter. 3. a population reported as 240,000 Solution 2 significant digits. The population is measured to the nearest 10,000 people. 4. a population reported as 2 . 40 × 10 5 Solution 3 significant digits. The population is measured to the nearest 1,000 people. 1 Rounding 1. Decide which decimal place (e.e. tens, ones, tenths, or hundredths) is the smallest the should be kept....
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- Spring '08