Jane bought a new sweater. It was priced at $32.00 and there was a 25% discount. Jane gave the cashier $40. What was her change?

Jane got a discount of $32 × 0.25 = $<<32*0.25=8.00>>8.00.

So the sweater's final price was $32 - $8 = $<<32-8=24.00>>24.00.
Jane's change is $40 - $24 = $<<40-24=16>>16. Answer: \boxed{16}.