Final answer:
The digit in the thousandths place (0.003) is actually 1/10 the value of the digit in the hundredths place (0.03), therefore, it is not greater but less.
Step-by-step explanation:
The value of the digit in the thousandths place is 10 times as great as the value of the digit in the hundredths place in the decimal 0.033. Let's examine the value of each digit. The second 3 in the decimal 0.033 is in the hundredths place, which represents 3/100 or 0.03. The third 3 is in the thousandths place, which represents 3/1000 or 0.003. Because moving one place to the right in the decimal places means dividing by 10, the digit in the thousandths place is 0.003/0.03 = 1/10 as much as the value in the hundredths place. However, the question asks how many times greater the value is in the thousandths place compared to the hundredths place. Since the two values are actually in inverse proportion (the value decreases as we move to the right), the thousandths place is not greater than, but rather less than the hundredths place.