Write the number in standard \( f \) \( 8.208 \times 10^{2}=\square \)

To convert \( 8.208 \times 10^{2} \) to standard form, we simply multiply \( 8.208 \) by \( 100 \) (which is \( 10^{2} \)). So, \( 8.208 \times 100 = 820.8 \). Therefore, \( 8.208 \times 10^{2} = 820.8 \). Now you're not just dealing with any old number; you're handling a scientific notation that's super handy in science and engineering! Why? Because it makes those gigantic or minuscule numbers way easier to manage. So, the next time you’re knee-deep in calculations, remember how this little trick helps keep everything neat! If you’re diving into more numbers and scientific notation, be sure to practice with varying exponents—like how \( 3.0 \times 10^{3} \) equals \( 3000 \) while \( 4.5 \times 10^{-3} \) brings you down to \( 0.0045 \). Experimenting with different values is the best way to master the art of the notation!