Question

Greatest sum, difference, product, and quotient of 2.75 and 6

Answer 1

The biggest sum of the two numbers is the only one that can be computed:

`6+2.75=8.75`

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:

`6\cdot2.75=16.5`

Since the alternative option for the product between those two numbers gives the same result:

`2.75\cdot6=16.5`

The difference does give us choices. There are two differences that can be computed with that pair of numbers:

`\begin{gathered} 6-2.75=3.25 \\ \\ 2.75-6=-3.25 \end{gathered}`

From the two results above, the greatest is 3.25.

The quotient also gives us choices:

`\begin{gathered} (2.75)/(6)=0.458 \\ \\ (6)/(2.75)=2.18 \end{gathered}`

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