## College Algebra 7th Edition

$10^{10}$ is closer to $10^{50}$
$|10^{50}-10^{10}|<10^{50}$ However, $|10^{101}-10^{100}|=10^{100}|10-1|=9*10^{100}>10^{50}$ Therefore, $10^{10}$ is closer to $10^{50}$.