You have 2 very closely related compounds: Sodium Carbonate and Sodium Bicarbonate. A modern name for Sodium Bicarbonate is Sodium Hydrogen Carbonate.
So, structurally sodium carbonate looks a bit like this (actually there should be 2 Na+ ions):
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Sodium carbonate is a stronger base than sodium hydrogen carbonate, and it's all due to the hydrogen tacked to one of the oxygens. Adding another hydrogen makes it an acid:
Which is formed when carbon dioxide is dissolved in water:
Oh, and incidentally, the bi in bicarbonate has to do with the fact that the carbonate ion is attached both to the sodium and hydrogen.
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