Appendix B 1243 Cubing of Exponentials Cube the digit term in the usual way and multiply the exponent of the exponential term by 3. Example B6 Cubing Exponentials Cube the number 2 × 104. Solution (2 × 10 4) 3 = 2 × 2 × 2 × 10 3 × 4 = 8 × 10 12 Taking Square Roots of Exponentials If necessary, decrease or increase the exponential term so that the power of 10 is evenly divisible by 2. Extract the square root of the digit term and divide the exponential term by 2. Example B7 Finding the Square Root of Exponentials Find the square root of 1.6 × 10−7. Solution 1.6 × 10 −7 = 16 × 10 −8 16 × 10 −8 = 16 × 10 −8 = 16 × 10 −8 2 = 4.0 × 10 −4 Significant Figures A beekeeper reports that he has 525,341 bees. The last three figures of the number are obviously inaccurate, for during the time the keeper was counting the bees, some of them died and others hatched; this makes it quite difficult to determine the exact number of bees. It would have been more accurate if the beekeeper had reported the number 525,000. In other words, the last three figures are not significant, except to set the position of the decimal point. Their exact values have no meaning useful in this situation. In reporting any information as numbers, use only as many significant figures as the accuracy of the measurement warrants. The importance of significant figures lies in their application to fundamental computation. In addition and subtraction, the sum or difference should co ...
Purchase document to see full attachment