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AMC 10A 2020 (Problem 8)

What is the value of 1+2+3−4+5+6+7−8+⋯+197+198+199−2001 + 2 + 3 - 4 + 5 + 6 + 7 - 8 + \cdots + 197 + 198 + 199 - 200?
(A)  9,800\text{(A)}\;9,800(B)  9,900\text{(B)}\;9,900(C)  10,000\text{(C)}\;10,000(D)  10,100\text{(D)}\;10,100(E)  10,200\text{(E)}\;10,200