What is the quotient of \( 1.44 \times 10^{8} \) and \( 6.0 \times 10^{5} \) expressed in scientific notation? Answer Attempt 3 out of 3 Answer: \( 8.64 \times 10^{14} \) Submit Answer

To find the quotient of \( 1.44 \times 10^{8} \) and \( 6.0 \times 10^{5} \), you can divide the coefficients and subtract the exponents. First, divide \( 1.44 \) by \( 6.0 \), which gives \( 0.24 \). Next, you'll subtract the exponent in the denominator from the exponent in the numerator, so \( 8 - 5 = 3 \). Therefore, we have \( 0.24 \times 10^{3} \). To express this in proper scientific notation, we move the decimal place one position to the right and adjust the exponent: \( 2.4 \times 10^{2} \). Now, let's make it fun: Did you know that scientific notation helps us handle really large and small numbers without clutter? It's like having a magical toolbox for mathematicians! And remember, the power of ten is our trusty ladder, allowing us to climb up or down the number line with ease. So next time you're working with huge numbers or tiny quantities, give yourself a high-five for using scientific notation!