Perform the division and express the answer in scientific notation. Choose the correct answer: \( \left(9.418 \times 10^{5}\right) \div\left(2.77 \times 10^{3}\right) \) \( 3.4 \times 10^{2} \) \( 3.4 \times 10^{8} \) \( 6.648 \times 10^{2} \)

To perform the division \( \left(9.418 \times 10^{5}\right) \div\left(2.77 \times 10^{3}\right) \), we divide the coefficients and subtract the exponents: 1. Divide the coefficients: \( \frac{9.418}{2.77} \approx 3.398 \). 2. Subtract the exponents: \( 5 - 3 = 2 \). Now, putting it together gives \( 3.398 \times 10^{2} \). We can round \( 3.398 \) to \( 3.4 \) to match the answer format. Thus the final answer is \( 3.4 \times 10^{2} \). So, the correct answer is \( 3.4 \times 10^{2} \). For additional knowledge: Mathematics has a fun historical twist! The concept of scientific notation was popularized by scientists to simplify calculations during space exploration. It makes working with incredibly large or small numbers, like the distance to stars or sizes of atoms, a breeze! Also, for those venturing into problem-solving, a common mistake is forgetting to adjust the exponent when dividing powers of ten. Always remember: \( a^{m} ÷ a^{n} = a^{m-n} \) to keep those calculations on track!