We can group the terms in pairs:
\[ (1 - 2) + (3 - 4) + (5 - 6) + \dots + (99 - 100) \]
Each pair sums to -1:
\[ (-1) + (-1) + (-1) + \dots + (-1) \]
To find the number of pairs, we have numbers from 1 to 100, which is 100 numbers. Since we are pairing them up, there are \( \frac{100}{2} = 50 \) pairs.
So, the sum is the sum of 50 negative ones:
\[ 50 \times (-1) = -50 \]
Ответ: -50