Significant Figures, Approximate Numbers, etc. How many significant figures? 28,

Question

Significant Figures, Approximate Numbers, etc. How many significant figures? 28,000,000 miles 41.60 0.00290 9.0003089 5 degree 22' Round off to three significant figures: 495,500 72.30 0.004100 Add: 2.1 m and 27.51 cm. Multiply: 0.00021 times 112,500 (pi) times 0.16 times 10^-12 cm. pi = 3.14159 Subtract: 0.000295 from 0.00352 Divide: 0.010 into 0.000270461 Express in standard number notation: 28,000,000 miles 0.0000720 2,430,000 (In part c there are four significant figures.) Express in decimal notation: 307.8 times 10^3 1.50 times 10^-4 Calculate approximately (use one significant figure and standard numbers): a. 28,000,000 times 8,643,000 b. 2,784,000/(0.00450)(pi) c. 0.0078380 times 187,000,000/3,709,100,000 times 0.0000204 d. 3,982,000/0.006087200 e. 389 times 0.0041/7482/0.00032640 f. (0.0003071)(41.6 times 10^2)(0.00712) The thickness of a block is measured several times. The measurements are: 0.605 cm: 0.610 cm: 0.599 cm: 0.598 cm. Find a. the average thickness of the block b. the average deviation c. the percent (relative) average deviation Given the equation, y = 2x^2 - 3 plot a graph of this in such a manner that a straight line will result. A table of the values of the variables should be included. The points need not be plotted too precisely. Define briefly: a. slope b. intercept c. abscissa In physics, why would an equation like the one given in XI be plotted as a straight line, rather than as a parabola, as is done in math?

Explanation / Answer

I. (a) 2 (b) 4 (c) 3

(d) 8 (e) 3

II. (a) 495,000

(b) 72.3

(c) 0.004

III. 2.1 + 27.51 = 29.6

IV. (a) 24

V. 0.00032

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