1. **State the problem:** Simplify the expression $10 - 10 \times 10 + 10$. 2. **Recall the order of operations:** According to PEMDAS/BODMAS, multiplication is performed before addition and subtraction. 3. **Perform the multiplication first:** $$10 - \cancel{10 \times 10} + 10 = 10 - 100 + 10$$ 4. **Perform the subtraction and addition from left to right:** $$10 - 100 + 10 = (10 - 100) + 10 = -90 + 10$$ 5. **Calculate the final result:** $$-90 + 10 = -80$$ **Final answer:** $-80$