Examples - Basic Arithmetic Operations

Example 1.8
a. 6300 + 75,000 = 6.3 x 10^3 + 75 x 10^3
                              = (6.3 + 75) x 10^3
                              = 81.3 x 10^3

b. 0.00096 - 0.000086 = 96 x 10^-5 - 8.6 x 10^-5
                                          = (96 - 8.6) x 10^-5
                                          = 87.4 x 10^-5

Example 1.9
 a. (0.0002)(0.000007) = (2 x 10^-4)(7 x 10^-6)
                                            = (2)(7) x (10^-4)(10^-6)
                                            = 14 x 10^-10

b. (340,000)(0.00061) = (3.4 x 10^5)(61 x 10^-5)

                                          = (3.4)(61) x (10^5)(10^-5)
                                          = 207 x 10^0
                                          = 207

Example 1.10

a. (0.00047) / (0.002) = (47 x 10^-5) / (2 x 10^-3)
                                         = 47 / 2 x (10^-5 / 10^-3)
                                         = 23.5 x 10^-2

b. (690,000) / (0.00000013) = (69 x 10^4) / (13 x 10^-8)

                                         = 69 / 13 x (10^4 / 10^-8)
                                         = 5.31 x 10^12

Example 1.11

a. (0.00003)^3 = (3 x 10^-5)^3
                             = (3)^3 x (10^-5)^3
                             = 27 x 10^-15

b. (90,800,000)^2 = (9.08 x 10^7)^2
                                   = (9.08)^2 x (10^7)^2
                                   = 82.45 x 10^14