To order the numbers from greatest to least, let's first evaluate each expression and number:
- \(2(3) = 6\)
- \(|7| = 7\) (absolute value of 7 is 7)
- \(3(2) = 6\)
- \(|-2| = 2\) (absolute value of -2 is 2)
- \(-5\) (remains -5)
- \(\sqrt{16} = 4\) (square root of 16 is 4)
Now that we have evaluated the numbers, let's list them:
- \(7\)
- \(6\)
- \(6\) (from the \(2(3)\) and \(3(2)\))
- \(4\)
- \(2\)
- \(-5\)
Now, ordered from greatest to least:
- \(7\)
- \(6\)
- \(6\)
- \(4\)
- \(2\)
- \(-5\)
So, the final ordered list is:
- 7
- 6
- 6
- 4
- 2
- -5