264: Add Operators

Using only the symbols +, -, *, and ÷ as replacement for the blanks, find the greatest value of the expression given.

1 ___ 2 ___ 3 ___ 4 ___ 5 ___ 6 ___ 7 ___ 8

What would be the greatest value if you could also use parentheses?

How do you know this is the largest value?


source: Algebra Problems, Dale Seymour.