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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?

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 class=

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9514 1404 393

Answer:

  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

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

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