\(1-2+3-4+5-6+7-8+9-10\)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+\left(9-10\right)\)
\(=\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)\)
\(=\left(-1\right)\times5=-5\)
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