Final answer:
The numbers ordered from greatest to least are 8.67, 8.65, 6.7, 5.92, and 1.52, by comparing the digits from left to right, starting with the largest leading digit.
Step-by-step explanation:
To order the numbers 6.7, 5.92, 1.52, 8.65, and 8.67 from greatest to least, we compare each number starting from the leftmost digit. We arrange the numbers starting with the largest leading digit, which in this case is 8 for two of our numbers, and then move down to the smallest leading digit, which is 1.
- 8.67: This is the largest number as we compare the decimal parts: 67 is greater than 65.
- 8.65: The second largest number, following 8.67 closely.
- 6.7: This comes after 8.65, since 6 is less than 8, but it's larger than 5.92 as we only consider numbers after the decimal when the whole numbers are the same.
- 5.92: This number is greater than 1.52, following the same principle of whole number comparison.
- 1.52: This is the smallest number as both the whole number and decimal are less than the others.
Therefore, the numbers in order from greatest to least are: 8.67, 8.65, 6.7, 5.92, 1.52.