1. **Stating the problem:** Multiply the two-digit number 25 by the one-digit number 2. 2. **Formula used:** Multiplication of a two-digit number by a one-digit number can be done by multiplying each digit of the two-digit number by the one-digit number and then adding the results appropriately. 3. **Step-by-step solution:** - Multiply the units digit: $5 \times 2 = 10$. - Write down 0 and carry over 1. - Multiply the tens digit: $2 \times 2 = 4$. - Add the carry over: $4 + 1 = 5$. 4. **Intermediate work with cancellation:** $$\cancel{25} \times 2 = 50$$ 5. **Final answer:** $$25 \times 2 = 50$$ This means 25 multiplied by 2 equals 50.