1.Express the following numbers in standard form:
(i) 0.0000000000085

(ii) 0.00000000000942

(iii) 6020000000000000

(iv) 0.00000000837

(v) 31860000000


Answer :

(i)We have:0.0000000000085
\(=\frac{85}{10000000000000}=\frac{8.5\times 10}{10^{13}}\)

\(=8.5\times 10^{(1-13)}=8.5\times 10^{-12}\)

(ii)We have:0.00000000000942
\(=\frac{942}{100000000000000}=\frac{9.42\times 10^2}{10^{14}}\)

\(=9.42\times 10^{(2-14)}=9.42\times 10^{-12}\)

(iii)We have:6020000000000000=\(6.02\times1000000000000000\)

\(=6.02\times 10^{15}\)

(iv)We have:0.00000000837

\(=\frac{837}{100000000000}=\frac{8.37\times 100}{10^{11}}\)

\(=8.37\times 10^{(2-11)}=8.37\times 10^{-9}\)

(v)We have: 31860000000

\(= 3.186 \times 10000000000\)

\(= 3.186 \times 10^10\)

Hence, the required standard from = \(3.186 × 10^10\)

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