Question

How many different answers can you get by grouping differently? Add parentheses to the expression 7+3•4+2 to create new expressions with as many different values as possible.

Answer 1

Answer: The different possible solutions are 42, 21, 31 and 80.

Step-by-step explanation:

The given expression is,

`7+3\cdot 4+2`

Case 1.

`(7+3)\cdot 4+2=10\cdot 4+2`

`(7+3)\cdot 4+2=40+2`

`(7+3)\cdot 4+2=42`

Case 2.

`7+(3\cdot 4)+2=7+12+2`

`7+(3\cdot 4)+2=21`

Case 3.

`7+3\cdot (4+2)=7+3\cdot 8`

`7+3\cdot (4+2)=7+24`

`7+3\cdot (4+2)=31`

Case 4.

`(7+3)\cdot (4+2)=10\cdot 8`

`(7+3)\cdot (4+2)=80`