question_answer 9)

                Express the following numbers in usual form:                 (i) \[3.02\times {{10}^{-6}}\]                       (ii) \[4.5\times {{10}^{4}}\]                          (iii) \[3\times {{10}^{-8}}\]                                (iv) \[1.0001\times {{10}^{9}}\] (v) \[5.8\times {{10}^{12}}\]                        (vi) \[3.61492\times {{10}^{6}}\]

Answer:

                (i) \[3.02\times {{10}^{-6}}\]                 \[3.02\times {{10}^{-6}}\]\[=\frac{3.02}{{{10}^{6}}}\] \[=\frac{3.02}{1000000}\]                             \[=0.00000302\] (ii) \[4.5\times {{10}^{4}}\] \[4.5\times {{10}^{4}}\]\[=4.5\times 10000\] (iii) \[3\times {{10}^{-8}}\] \[3\times {{10}^{-8}}\,=\frac{3}{{{10}^{8}}}\] \[=\frac{3}{100000000}\] = 0.00000003 (iv) \[1.0001\times {{10}^{9}}\] \[1.0001\times {{10}^{9}}\]\[=1.0001\times 1000000000\] \[=1000100000\] (v) \[5.8\times {{10}^{12}}\] \[5.8\times {{10}^{12}}\]\[=5.8\times \,1000000000000\] \[=58000000000000\] (vi) \[3.61492\times {{10}^{6}}\] \[3.61492\times {{10}^{6}}\]\[=3.61492\times 1000000\] \[=3614920\]