Brief Explanation:
Method: Standard multiplication algorithm is used. Multiply each digit of 436 by 2, starting from the right, and carry over when necessary.
Step-by-step Solution:
- Step 1: Multiply the ones digit (6) by 2: $$6 \times 2 = 12$$. Write down 2 and carry over 1.
- Step 2: Multiply the tens digit (3) by 2: $$3 \times 2 = 6$$. Add the carried-over 1: $$6 + 1 = 7$$. Write down 7.
- Step 3: Multiply the hundreds digit (4) by 2: $$4 \times 2 = 8$$. Write down 8.
Answer: 872