Final answer:
The number 5.640 has 4 significant figures.
Step-by-step explanation:
The number 5.640 has 4 significant figures. Trailing zeros (zeros at the end) in a number with a decimal point are significant, so the zero after the 4 is significant. Additionally, any zeros located in between significant figures are also significant. In this case, the zero between the 6 and the 4 is significant as well. Therefore, the number 5.640 has 4 significant figures.