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a) (-1 + 2) +(- 3 + 4) + (- 5 + 6) + (- 7 + 8) + ... (- 99 + 100)
= 1 + 1 + 1 + 1 + .... + 1
= 50 x 1
= 50
b) - 100 + (-99+99)+(-98+98)+(-97+97)+... +(-1+1)
= - 100 + 0 + 0 + 0 + .... + 0
= -100