Answer :
The biggest sum of the two numbers is the only one that can be computed:
[tex]6+2.75=8.75[/tex]There is not much that can be done with the sum since the order does not matter for the result.
Something similar happens with the product. The greatest is:
[tex]6\cdot2.75=16.5[/tex]Since the alternative option for the product between those two numbers gives the same result:
[tex]2.75\cdot6=16.5[/tex]The difference does give us choices. There are two differences that can be computed with that pair of numbers:
[tex]\begin{gathered} 6-2.75=3.25 \\ \\ 2.75-6=-3.25 \end{gathered}[/tex]From the two results above, the greatest is 3.25.
The quotient also gives us choices:
[tex]\begin{gathered} \frac{2.75}{6}=0.458 \\ \\ \frac{6}{2.75}=2.18 \end{gathered}[/tex]The greatest quotient is obtained when the largest number is divided by the smallest: 2.18.
Finally:
Greatest sum: 8.75
Greatest difference: 3.25
Greatest product: 16.5
Greatest quotient: 2.18