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If you have no earned income then you are not eligible for the Child Tax Credit or the Additional Child Tax Credit or the Earned Income Tax Credit.

 

If you had completed the worksheet for the Child Tax Credit correctly in IRS Publication 972 on pages 6 and 7 you would have seen that the amount on the worksheet for Lines 15 and 16 are 0 (zero) for the Child Tax Credit.

 

IRS Publication 972 Child Tax Credit and Credit for Other Dependents page 6 - https://www.irs.gov/pub/irs-pdf/p972.pdf#page=6