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Question

Express the following numbers in the standard form:
(i) 3908.78
(ii) 5,00,00,000
(iii) 3,18,65,00,000
(iv) 846 × 107
(v) 723 × 109

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Solution

We have

(i) 3908.78 = 3.90878 x 103 [since the decimal point is moved 3 places to the left]

(ii) 5,00,00,000 = 5,00,00,000.00 = 5 x 107 [since the decimal point is moved 7 places to the left]

(iii) 3,18,65,00,000 = 3,18,65,00,000.00
= 3.1865 x 109 [since the decimal point is moved 9 places to the left]

(iv) 846 × 107 = 8.46 x 102 x 107 [since the decimal point is moved 2 places to the left]
= 8.46 x 109 [since am x an = am+n]

(v) 723 × 109 = 7.23 x 102 x 109 [since the decimal point is moved 2 places to the left]
= 7.23 x 1011 [ since am x an = am+n]

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