Final answer:
The numbers 0.51, 0.5, 0.15, when compared digit by digit, can be ordered from greatest to least as 0.51, 0.5, 0.15. Therefore, the correct answer is A. 0.51, 0.5, 0.15.
Step-by-step explanation:
The question requires listing the numbers 0.15, 0.51, 0.5 in order from greatest to least. To compare these decimal numbers, we look at each digit from left to right. Here's how we can break it down:
- The first digit after the decimal in all numbers is the tenths place. Comparing these, we have 1 (in 0.15), 5 (in 0.51), and 5 (in 0.5). Since 5 is greater than 1, we know that 0.15 will be the smallest of all.
- For 0.51 and 0.5, the tenths place is equal (both 5), so we look at the next digit, the hundredths place. Only 0.51 has a digit in the hundredths place, which is a 1. The number 0.5 is equivalent to 0.50, so the hundredths place is 0.
- Since 1 is greater than 0, 0.51 is greater than 0.5.
Therefore, the numbers in order from greatest to least are: 0.51, 0.5, 0.15. The correct answer is A. 0.51, 0.5, 0.15.