Chapter 1, Problem 41E

Perform the following mathematical operations, and express the result to the correct number of significant figures.

1. a. $\frac{2.526}{3.1}+\frac{0.470}{0.623}+\frac{80.705}{0.4326}$
2. b. (6.404 × 2.91)/(18.7 - 17.1)
3. c. 6.071 × 10⁻⁵ - 8.2 × 10⁻⁶ - 0.521 × 10⁻⁴
4. d. (3.8 × 10⁻¹² + 4.0 × 10⁻¹³)/(4 × 10¹² + 6.3 × 10^l3)
5. e. $\frac{9.5+4.1+2.8+3.175}{4}$ (Assume that this operation is taking the average of four numbers. Thus 4 in the denominator is exact.)
6. f. $\frac{8.925-8.905}{8.925}\times 100$ (This type of calculation is done many times in calculating a percentage error. Assume that this example is such a calculation; thus 100 can be considered to be an exact number.)