EGR 100 Chapter Notes - Chapter 12: Significant Figures, Decimal Mark, Scientific Notation

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12. 1 some mathematical habits of thought for design modeling: this chapter will focus on representing the behavior and function of real devices in mathematical terms. This list should not be regarded as an algorithm, but as a general approach to habits of thought for mathematical modeling, which are essential for good design modeling. 12. 2. 2 physical dimensions in design (ii): significant figures: the number of significant figures (nsf) is not determined by the placement of the decimal point. In scientific notation we write numbers as products of a new number that is normally in the interval 1 10 and a power of10. Thus, numbers both large and small can be written in one of two equivalent, yet unambiguous forms: 0. 000075=0. 75 10 4=7. 5 10 5: we should always remember that the results of any calculation or measurement cannot be any more accurate than the least accurate starting value.

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