Question#1: Express each of the following numbers in scientific notations.
Solution:
\[\begin{align}
& \text{Number }\qquad &| \qquad &\text{Scientific Notation} \\
& \text{(i) }5700\qquad &| \qquad &5.7\times {{10}^{3}} \\
& \text{(ii) }49800000\qquad &| \qquad &4.9\times {{10}^{7}} \\
& \text{(iii) }96000000\qquad &| \qquad &9.6\times {{10}^{7}} \\
& \text{(iv) 416.9}\qquad &| \qquad &4.169\times {{10}^{2}} \\
& \text{(v) }83000\qquad &| \qquad &8.3\times {{10}^{4}} \\
& \text{(vi) }0.00643\qquad &| \qquad &6.43\times {{10}^{-3}} \\
& \text{(vii) }0.0074\qquad &| \qquad &7.4\times {{10}^{-3}} \\
& \text{(viii) }60000000\qquad &| \qquad &6\times {{10}^{7}} \\
& \text{(ix) }0.00000000395\qquad &| \qquad &3.95\times {{10}^{-9}} \\
& \text{(x) }\frac{275000}{0.0025}\qquad &| \qquad &\frac{2.75\times {{10}^{5}}}{2.5\times {{10}^{-3}}} \\
\end{align}\]
Question#2: Express the following number in ordinary notation.
Solution:
\[\begin{align}
& \text{Scientific Notation}\text{ }\qquad &| \qquad & \text{Ordinary Notation } \\
& \text{(i) }6\times {{10}^{-4}}\qquad &| \qquad &0.0006 \\
& \text{(ii) 5}\text{.0}6\times {{10}^{10}}\qquad &| \qquad &50600000000 \\
& \text{(iii) }9.018\times {{10}^{-6}}\qquad &| \qquad &0.000009018 \\
& \text{(iv) }7.865\times {{10}^{8}}\qquad &| \qquad &786500000 \\
\end{align}\]