let x be the first number
x+1 be the second number
x+2 be the third number
x+3 be the fourth number
x+4 be the fifth number
x + x + 1 + x + 2 + x + 3 + x + 4 = 0
5x + 10 = 0
5x = -10
x = -2
x+1 = -1
x+2 = 0
x+3 = 1
x+4 = 2
Therefore, the numbers are -2, -1, 0, 1 and 2.