Final answer:
When dividing 10 by 652.3, we use the powers of ten rules to simplify the calculation. The result is approximately 0.01532, which rounds to 0.01529, making option c the correct answer.
Step-by-step explanation:
To evaluate 10 ÷ 652.3, we will divide 10 by 652.3. According to the powers of ten rules, we can move the decimal point in the divisor (652.3) to the right until we have a whole number and move the decimal point in the dividend (10) by the same number of places to maintain the balance.
Since 652.3 is approximately 1000 times larger than 10, we would expect the result to be a little bit larger than 0.01. Performing the division, 10 ÷ 652.3 gives us 0.01532 (rounded to five decimal places), which means the correct answer from the choices provided is c) 0.01529 after rounding to five significant figures.