Other mistake: Johnny picks up Sue's clothes and hides them in his jacket after she strips on the bridge, but when the shot changes to the stunned crowd, we can see Reed and Johnny running off to the left. From the way Johnny's arms are moving, you can tell he is no longer holding the clothes.
Continuity mistake: During the rescue scene on the bridge, just before Reed rescues the falling fireman, it shows a shot of two other firemen. one is on top of the truck while the other is hanging from the end of the ladder. as Ben is pulling the truck back on to the bridge, there are now three firemen on the ladder near the back of the truck. but as the Ben pulls the truck back on to the bridge, you can see that there are only two firemen, one still hanging from the end of the ladder and the other half way along the ladder.
Continuity mistake: Just after Ben has been in the machine and is turned back to normal, Victor attacks Reed and knocks him through the window. The amount and shape of the glass that is still in the window has changed.
Answer: From the look on Reed's face, I assumed he checked to see if he had the patch on his suit as well. He sees that he does and in order to hide it from the others in fear of Ben and Susan thinking he was involved, he hid it quickly and did not mention it.
T Poston