Question

Write each of the following numbers in usual form: 

(i) 2.06x10^-5 

(ii) 5 x10^-7 

(iii) 6.82 x 10^-6 

(iv) 5.673x10^-4 

(v) 1.8 x10^-2 

(vi) 4.129 x10^-3

Answer 1

(i) 2.06 × 10^-5 = \(\frac{206}{100}\times\frac{1}{10^5}\)

\(=\frac{206}{10^2\times10^5}\)

\(=\frac{206}{10^{(5+2)}}\)

\(=\frac{206}{10^7}\)

\(=\frac{206}{10000000}=0.0000206\)

(ii) 5 × 10^-7 = \(\frac{5}{10^7}\)

(iii) 6.82 × 10^-6 = \(\frac{682}{100}\times\frac{1}{10^6}\)

(iv) 5.673 × 10^-4 =\(\frac{5673}{1000}\times\frac{1}{10^4}\)

(v) 1.8 × 10^-2 = \(\frac{18}{10}\times\frac{1}{10^2}\)

(vi) 4.129 × 10^-3 = \(\frac{4129}{1000}\times\frac{1}{10^3}\)