olymmath

HMMT November 2014 U12

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Sindy writes down the positive integers less than 200 in increasing order, but skips the multiples of 10. She then alternately places + and - signs before each of the integers, yielding an expression +1−2+3−4+5−6+7−8+9−11+12−⋯−199+1-2+3-4+5-6+7-8+9-11+12-\cdots-199. What is the value of the resulting expression?

Dataset text NuminaMath olympiads. Quoted with source.

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-100

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