You have a set of consecutive integers from (-10) to 5, inclusive. You multiply any three of the integers. What is the greatest product you can get?

9514 1404 393

  60

Step-by-step explanation:

Three consecutive integers in that range will all have the same sign, or they will include 0. Hence the largest product cannot include any negative numbers, but must have as factors the three largest positive numbers:

  3·4·5 = 60 . . . . the greatest possible product

The product with the greatest magnitude is (-10)(-9)(-8) = -720.