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It depends. Even though this is a credit for K-12 expenses, page 18 of the 2019 Minnesota Individual Income Tax Form M1 Instructions state: A qualifying child is the same as for the federal earned income credit. I recommend entering $0 for the child who is not yet in Kindergarten.
Click the link for who is a Qualifying Child for the Earned Income Credit from the 2019 Publication 596 Earned income Credit (EIC) page 10, which is also shown below.
