What is the name of your state? WA
Our divorce decree indicates that my ex-husband and I must switch who claims our son each year for tax purposes. But the thing is, my son lives with me 7 days a week, my ex only spends about 3-4 hrs in a week with our son. Does my ex really have the right to claim our son as dependent even if our son doesn’t live with him, because that’s what the divorce decree says?
Ok, here is the deal. As far as the IRS is concerned, unless you signed form 8332 to give your ex the right to claim the child, you are the only person allowed to claim the child, because you are the custodial parent under the IRS's definition of custodial parent.
However, you have a divorce decree, signed by a judge, that states that he gets to claim the child every other year. Therefore if you don't allow him to claim the child (by giving him form 8332 for that year), then he can take you to court for contempt, and the judge could order you to pay your ex whatever refund he would have received for claiming the child, or any other number of penalties for disobeying the divorce decree.
There is a third alternative. Non-custodial parents (under the IRS's definition of Non-custodial) are never allowed to claim Head of Household or Earned Income Credits or Daycare credits. The IRS does allow, in the case of divorced or separated parents, for the custodial parent to claim the child for head of house purposes, and therefore getting EIC and daycare credits, even if the non-custodial parent is claiming the child as a dependent and claiming the child tax credit. It has to be carefully done so that you don't make an error and accidentally claim the child for everything, but it can be done.