Express 24 000 000 in standard form
\(2.4 \times {10^7}\)
$$\begin{aligned}24000000 &=2.4 \times 10000000 \\&=2.4 \times 10^{7}\end{aligned}$$
Express 0.000024 in standard form
\(2.4 \times {10^{ - 5}}\)
$$\begin{aligned}0.000024&=\frac{2.4}{100000}\\&=\frac{2.4}{10^{5}} \\&=2.4 \times 10^{-5}\end{aligned}$$
Express 24765 in standard form correct to three significant figures.
\(2.48 \times {10^4}\)
$$\begin{aligned}24765 &=2.4765 \times 10000 \\&=2.4765\times 10^{4} \\&=2.48 \times 10^{4}\end{aligned}$$
Express 0.003292 in standard form correct to three significant figures
\(3.29 \times {10^{ - 3}}\)
$$\begin{aligned}0.003292 &=\frac{3.292}{1000} \\&=\frac{3.292}{10^{3}} \\&=3.292 \times 10^{-3} \\&=3.29 \times 10^{-3}\end{aligned}$$
\(V = \dfrac{4}{3}\pi {r^3},\,\,\,r = 1.235\), evaluate \(V\) correct to 2 significant figures.
\(7.9\)
$$\begin{aligned}V &=\frac{4}{3} \times \pi \times(1.235)^{3} \\&=7.890 \ldots \\&=7.9\end{aligned}$$
