What is 253 multiplied by 4?

Understand the Problem

The question is asking how to perform the multiplication of 253 by 4. This implies that the user is looking for a step-by-step solution to this multiplication problem.

Answer

The result of $253 \times 4$ is $1012$.

Steps to Solve

Multiply the ones place

Start with the number in the ones place of 253, which is 3. Multiply it by 4: $$ 3 \times 4 = 12 $$ Write down 2 and carry over 1.
Multiply the tens place

Next, take the number in the tens place, which is 5, and add the carry-over of 1: $$ 5 + 1 = 6 $$ Now multiply it by 4: $$ 6 \times 4 = 24 $$ Write down 4 and carry over 2.
Multiply the hundreds place

Finally, take the number in the hundreds place, which is 2, and add the carry-over of 2: $$ 2 + 2 = 4 $$ Now multiply it by 4: $$ 4 \times 4 = 16 $$ Write down 16 to complete the sum.
Add up the results

Now, combine the results from each place:
- From the ones place: 2
- From the tens place: 4 (tens meaning 40)
- From the hundreds place: 16 (hundreds meaning 1600) Therefore, add ( 1600 + 240 + 12 = 1012 ).

The final answer is $1012$.

More Information

Multiplying integers is a fundamental skill in arithmetic. For example, $4$ is a multiplier that can make calculations easier by using known multiplication tables. This method exemplifies the standard algorithm for multiplication, supporting a deep understanding of how numbers interact.

Tips

Forgetting to add the carry-over values properly, which can lead to incorrect sums.
Not aligning the values correctly when writing the intermediate results can cause confusion.
Failing to recognize the value of each digit in context (e.g., forgetting that the digit 5 is actually 50 in the tens place).

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