The value of $\log_{10}{28471}$ is between the consecutive integers $a$ and $b$.  Find $a+b$.
To find the value of $\log_{10}{28471}$, I need to think of what power of 10 gives me 28471. I know that $10^4 = 10000$ and $10^5 = 100000$, so $\log_{10}{28471}$ must be between 4 and 5. Therefore, $a = 4$ and $b = 5$, and $a+b = 9$.

