What is 33,400 in a scientific notation?

Jun 24, 2016

$3.34 \times {10}^{4}$

Explanation:

Removing all insignificant digits from 33400 is necessary, get rid of the two zeros.

334 is the new number, three $\textcolor{red}{h} \textcolor{red}{u} \textcolor{red}{n} \textcolor{red}{\mathrm{dc}} o l \mathmr{and} \left(red\right) r \textcolor{red}{e} \textcolor{red}{\mathrm{dc}} o l \mathmr{and} \left(red\right)$ thirty-four.

divide 334 by 100

$\frac{334}{100} = 3.34$

3.34 is the correct number for scientific notation.

remember there were $\textcolor{b l u e}{4}$ numbers that followed $\textcolor{red}{3}$ in $\textcolor{red}{3}$3400, we use $\textcolor{b l u e}{4}$ as the exponent of 10 when finalizing 33400 in scientific notation.

$3.34 \times {10}^{\textcolor{b l u e}{4}}$= $33400$