Write the number in standard notation: \( \frac{4.8 \times 10^{18}}{1.2 \times 10^{19}}=\square \) Question Heip: F Read \( \square \) Message instructor Submit Question

To solve \( \frac{4.8 \times 10^{18}}{1.2 \times 10^{19}} \), we first divide the coefficients \( \frac{4.8}{1.2} = 4 \). Next, we handle the powers of ten using the rule of exponents, which gives us \( 10^{18 - 19} = 10^{-1} \). Now we combine these results: \( 4 \times 10^{-1} \). Finally, in standard notation, this is \( 0.4 \). Did you know that expressing numbers in scientific notation is incredibly useful in fields like astronomy and chemistry where we deal with really large or really small numbers? It simplifies calculations and makes it easier to communicate large quantities, such as the distance from Earth to distant galaxies or the size of tiny atoms! If you want to deepen your understanding of scientific notation, check out resources like "Khan Academy" where you can find interactive exercises and videos that break down the concepts and provide examples. It's an engaging way to practice and master the math behind it!