Question

Mt Everest rises 54,768 feet. How to write in scientific notation

Answer 1

5.48 x 10^4

the decimal place would need to be moved 4 to the right (hence 10^4)

Answer 2

$\bf 54768\iff 54768.0\impliedby \begin{array}{llll} \textit{now, let's move the decimal point}\\ \textit{so that only one number is on}\\ \textit{the left of it} \end{array} \\\\\\ 5\underline{4768}.0\impliedby \textit{let's move it 4 slots over, thus 4 zeros}\\\\\\ 5.4768\times 1\underline{0000}\implies 5.4768\times 10^4$