It depends. If it changes your tax due then yes, you need to amend. You are able to e-file amendments, so you no longer have to print and mail the amendments for the most part.
For a change in income of $12 less than originally reported, an amended return should be filed in order to file the most complete and accurate tax return. But, you are not likely to see any repercussions from the IRS if you do not file the amended return.