# Are these the correct and complete net ionic equations?

So I have several descriptions of reactions and I have to give the net ionic equation. Are these just the equations or are they the proper net ionic ones?

Solid calcium is added to warm water. $$\ce{Ca_{(s)} + 2 H_{2}O_{(l)} -> Ca^{2+}_{(aq)} + 2 OH_{(aq)}^- + H2_{(g)}}$$

Powdered magnesium oxide is added to a container of carbon dioxide gas. $$\ce{MgO_{(s)} + CO2_{(g)} -> MgCO3_{(s)}}$$

Did I do those right, or am I on the wrong track?

The first equation looks reasonable, you could possibly end up with $\ce{Ca(OH)_2}$, which is not very water soluble, but it's IMHO the type of detail you should not bother with.