Positive Numbers — Definition & Examples

A $24\text{-hour}$ clock tells the time using hours from $0$ to $23$; for example, $10$ PM on a $12\text{-hour}$ clock is the same as $22{:}00$ on a $24\text{-hour}$ clock. There are $24$ hours in a day and $60$ minutes per hour. If we take the time shown on a clock and think of it as a $4\text{-digit}$ number (e.g. $06{:}14$ corresponds to $614$), how many minutes in a day correspond to positive numbers?