What type of chemical reaction is sulfuric acid with calcium carbonate? $$\ce{H2SO4 + CaCO3 -&gt; H2CO3 + CaSO4}$$

I thought it would be a double replacement and also a decomposition reaction because $\ce{H2CO3}$ immediately breaks down to $\ce{H2O}$ and $\ce{CO2}$.
While double replacement is correct, you could also classify it as a neutralization reaction (what I think would be the most common answer if one had to pick a single description).  I agree with the comment explaining that you can't consider it a decomposition reaction as written.  You would need to explicitly show that as part of the reaction for that to be an acceptable description.