No, if you used the 1099-Q distribution for Kindergarten, and the tuition was as much or more than the distribution, you do not NEED to enter the 1099-Q. Please keep the 1099-Q and the tuition receipt with your tax file.
You MAY enter the 1099-Q, the program will ask if it was used for K-12 education, and when you answer yes, the program will tell you that it is not taxable. There is no reporting that is sent with your Federal return for this 1099-Q.
You will not receive a 1098-T until the student starts college, at which time the 1098-T is entered to offset distributions and/or apply for an education credit.
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HERE for IRS Pub 970 Tax Benefits for Education
