The sum of five consecutive integers is five. What is the product of the five integers?
To find the sum of five consecutive integers, I can use the formula n + (n + 1) + (n + 2) + (n + 3) + (n + 4), where n is the first integer. This formula simplifies to 5n + 10, so I can set it equal to five and solve for n: 5n + 10 = 5. Subtracting 10 from both sides, I get 5n = -5. Dividing both sides by five, I get n = -1. Therefore, the five consecutive integers are -1, 0, 1, 2, and 3. To find their product, I just need to multiply them together: (-1)(0)(1)(2)(3). I notice that one of the factors is zero, so the whole product must be zero. I don't need to multiply the other factors, because zero times anything is zero. 