# How do you write 543.621 in scientific notation?

Dec 28, 2015

$\textcolor{g r e e n}{\text{Another way of thinking about it!}}$

#### Explanation:

Keep the decimal point stationary but slide the number until you end up with $5 \cdot 43621$

This is not the same value we started with so we need to convert back. We do this by multiply it by $10 \times 10 = {10}^{2}$

color(green)("(we moved the number 2 places, hence " 10^2)")"

So $5 \cdot 43621 \times {10}^{2} = 543 \cdot 621$

Thus writing $543 \cdot 621$ in Scientific Notation gives $5 \cdot 43621 \times {10}^{2}$