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Omni-MATH / Sindy writes down the positive integers less than 200 in increasing order, but…

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problem

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?
Plain-text mathematical notation (without MathML)
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. What is the value of the resulting expression?
Original LaTeX notation
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 $+1-2+3-4+5-6+7-8+9-11+12-\cdots-199$. What is the value of the resulting expression?

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Source and history

task_id
8286671e-c095-5c9f-add3-664c4575807b
task_key
test--8286671e-c095-5c9f-add3-664c4575807b
task_revision_id
1
config / split
/ test

Official source

initial import