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3.1. State the number of significant digits for each of the rounded numbers shown. Then round to three significant digits. Do not change the format

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3.1. State the number of significant digits for each of the rounded numbers shown. Then round to three significant digits. Do not change the format from decimal notation to scientific notation, or vice versa. a. 4.5263 b. -27,327 c. 0.073856 d.-2.348E-05 e. 4.00203 3.2. Each of the following numbers is exact (i.e., known with infinite precision). Round to three significant digits in decimal notation. a. 0.181818. b. 1/3 C. -2.3 d. 26 x 107 e. -8/11 f. 15 3.3. Define measurement rounding error. 3.4. A length was carefully and accurately measured with advanced technology to be 37.8412 mm. A less sophisticated instrument was then used to measure the length, but was only able to measure it to the nearest millimeter, or two significant digits, to be 38 mm. What is the measurement rounding error when using this less sophisticated instrument? Express your answer to 3 significant digits. 3.5. Each of the following measurements is a rounded value. We have no way of knowing the exact value that was rounded to obtain these rounded values. For each, i) state the range of possible exact values; (i) stating the absolute value of the maximum possible measurement rounding error that may have resulted from the rounding; and ili) state the minimum and maximum possible relative measurement error as a percent to two significant digits. a. 0.02 ft b. 0.07 ft c. 2.634E+02 km d. 9.167E+02 km 3.6. Based on your answers to 3.5.ill, what can be said about a.) the relationship between the relative measurement error and the number of significant digits to which the measurement is known, and b.) the relationship between the relative measurement error and the size of the measurement

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