You can't "do both" per-se on an asset. If you take the 50% special depreciation allowance, then the remaining depreciation is deducted over time. If you take the full 100%, then it's fully depreciated and there is no more to take in later years.
It's not uncommon for some assets to qualify for the special allowance, while others do not.
On rental property if there's a mortgage on it, then its rare for you to show taxable income each year. What's more common is for your losses to always exceed the rental income. Those losses will carry over each year and the amount of loss carried over each year will continue to increase. You don't get to "realize" your losses against ordinary income until the year you sell or otherwise dispose of the property.