Final answer:
The mathematical problem 532.1 * 10 will have four significant figures, the same as the original number 532.1, since the number 10 is usually considered exact in pure multiplication.
Step-by-step explanation:
The multiplication problem 532.1 * 10 will have the same number of significant figures as the number with the least number of significant figures. In this case, the number 532.1 has four significant figures, and the number 10 has one or two significant figures, depending on whether the zero is considered significant; often in pure multiplication, the number of significant figures is not affected by the presence of exact numbers like 10, 100, etc. However, if we assume that the zero is not meant to indicate significance, then the final answer should be reported with precision that matches the least precise measurement, which would be one. Yet, since 10 is typically an exact number in the context of pure multiplication, the final answer can be reported with the same significant figures as 532.1, therefore holding four significant figures.