should we care more about nominal GDP or real GDP??

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A GDP based on the prices that prevailed when the output was produced is called unadjusted GDP, or nominal GDP.
A GDP that has been deflated or inflated to reflect changes in the price level is called adjusted GDP, or real GDP.

I suppose the answer to your question depends on the particular issue being addressed. However, if I had to pick one over the other, I personally would want real GDP rather than nominal GDP.

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