Order the following numbers from greatest to least: 4.7×10^4, 9.2×10^2, 7.5×10^5, 8.2×10^4, 6.9×10^5, 7.5×10^2. What is the coefficient of the fifth number in the list?

Answer 1

To compare the numbers, we first need to compare their exponents. The exponents in increasing order are $2,2,4,4,5,5$. Looking at the coefficients of the numbers, we see that $9.2\times 10^2$ and $7.5\times 10^{2}$ have the same exponent, so the coefficient is the same as the exponent. For the fifth number, $6.9\times 10^5$, the coefficient is $6.9\boxed{=}$ the exponent.