1. **State the problem:** Multiply 463 by 2. 2. **Recall the multiplication rule:** To multiply a multi-digit number by a single-digit number, multiply each digit by the single digit starting from the ones place, carrying over if needed. 3. **Multiply the ones place:** $$2 \times 3 = 6$$ 4. **Multiply the tens place:** $$2 \times 6 = 12$$ Write 2 in the tens place and carry over 1 to the hundreds place. 5. **Multiply the hundreds place:** $$2 \times 4 = 8$$ Add the carry over 1: $$8 + 1 = 9$$ 6. **Combine the results:** The product is 926. **Final answer:** $$463 \times 2 = 926$$