Final answer:
The correct order from greatest to least of the given numbers can be determined by converting them to decimal form and comparing.
Step-by-step explanation:
The question asks to put a set of numbers in order from greatest to least. Converting all numbers to decimals can help to compare them more easily. Here's how each number can be expressed as a decimal:
- 3.65 is already a decimal.
- 3 5/9 converts to 3 + 5/9 = 3.555...
- 10/3 converts to 3.333...
- 3 2/3 converts to 3 + 2/3 = 3.666...
Comparing these decimals:
- 3.65
- 3 2/3 (3.666...)
- 3 5/9 (3.555...)
- 10/3 (3.333...)
So, the correct order from greatest to least is 3.65, 3 2/3, 3 5/9, 10/3, which matches option 2 from the choices presented.