1. **State the problem:** Simplify the expression $n=\frac{250}{100} \times 2$. 2. **Write the formula and rules:** To simplify, first perform the division, then multiply. 3. **Perform the division:** $$n=\frac{250}{100} \times 2$$ 4. **Simplify the fraction:** $$n=\frac{\cancel{250}^{2.5}}{\cancel{100}^{1}} \times 2 = 2.5 \times 2$$ 5. **Multiply:** $$n=2.5 \times 2 = 5$$ 6. **Final answer:** $$n=5$$