Prorated rent is a partial rent amount charged when a tenant moves in or out partway through a month, so they only pay for the days they actually occupy the unit.
Divide the monthly rent by the number of days in the month to get a daily rate, then multiply by the number of days the tenant occupies the unit. For example, $1,500 ÷ 30 days = $50/day × 10 days = $500.
Both methods are used; the actual-days method (using the real number of days in that month) is the most precise and defensible. Whatever you choose, apply it consistently and state it in the lease.