What is 10,025 rounded to three significant figures?

To determine the value of 10,025 rounded to three significant figures, it's essential first to identify what significant figures are. Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, zeros between significant digits, and trailing zeros only when there's a decimal point.

In the number 10,025, the first three significant figures are 1, 0, and 0 (which are the leading digits). The next digit after that, which influences rounding, is 2. According to rounding rules, if the next digit is 5 or greater, the previous digit should be increased by one. Since the digit following the first three significant figures here is 2 (which is less than 5), it does not affect the rounding up. Therefore, 10,025, when rounded to three significant figures, retains the first three digits: 10,000.

The option that reflects 10,000 demonstrates the correct approach to rounding by maintaining three significant digits. Hence, 10,025 rounded to three significant figures is indeed 10,000, which precisely reflects the defined rules for rounding numbers based on their significant figures.