Methods and apparatus are disclosed for handling floating point exceptions in a processor that executes single-instruction multiple-data (SIMD) instructions. In one embodiment a numerical exception is identified for a SIMD floating point operation and SIMD micro-operations are initiated to generate two packed partial results of a packed result for the SIMD floating point operation. A SIMD denormalization micro-operation is initiated to combine the two packed partial results and to denormalize one or more elements of the combined packed partial results to generate a packed result for the SIMD floating point operation having one or more denormal elements. Flags are set and stored with packed partial results to identify denormal elements. In one embodiment a SIMD normalization micro-operation is initiated to generate a normalized pseudo internal floating point representation prior to the SIMD floating point operation when it uses multiplication.