(b) \( 4,366,000=4.366 \times 10^{b} \) \( b=\square \)

To express \( 4,366,000 \) in scientific notation, you need to move the decimal point to the left until you have a number between 1 and 10. For \( 4,366,000 \), the decimal point moves 6 places to the left, which means \( b = 6 \). So, the equation becomes \( 4,366,000 = 4.366 \times 10^{6} \). Since scientific notation makes it easier to work with very large or small numbers, it’s frequently used in fields like science and engineering. With just a few digits, you can represent vast quantities, making calculations faster and less prone to error! When working with scientific notation, a common mistake is forgetting to adjust the exponent properly when moving the decimal. Always double-check how many places you’ve shifted the decimal, as this can lead to miscalculations and misinterpretations in data analysis!