Brief Explanation:
Method: To multiply a 3-digit number by a 1-digit number, we use the standard multiplication algorithm, multiplying each digit of the 3-digit number by the 1-digit number, carrying over any tens to the next place value.
Step-by-step Solution:
- Step 1: Multiply the ones digit of 162 (which is 2) by 4: $$2 \times 4 = 8$$. Write down 8 in the ones place of the answer.
- Step 2: Multiply the tens digit of 162 (which is 6) by 4: $$6 \times 4 = 24$$. Write down 4 in the tens place and carry over 2 to the hundreds place.
- Step 3: Multiply the hundreds digit of 162 (which is 1) by 4: $$1 \times 4 = 4$$. Add the carried-over 2: $$4 + 2 = 6$$. Write down 6 in the hundreds place.
Answer: 648