2-Digit by 2-Digit Multiplication | Math with Mr. J
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2 months ago
Published on Jul 02, 2024
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Table of Contents
Tutorial: How to Multiply Two-Digit Numbers by Two-Digit Numbers
Step 1: Set up the multiplication problem
- Write down the two-digit numbers to be multiplied, ensuring that the places are lined up correctly. Align the ones place digits and the tens place digits of both numbers.
Step 2: Multiply the ones place digits
- Multiply the ones place digits of the two numbers and write down the result.
- Carry over any tens from this step to the next step.
Step 3: Multiply the tens place digit of the second number by the first number
- Multiply the tens place digit of the second number by the first number.
- Add any carried over tens from the previous step to this result.
Step 4: Add a placeholder zero
- Place a zero in the next row to prepare for multiplying the tens place digit of the first number by the second number.
Step 5: Multiply the tens place digit of the first number by the second number
- Multiply the tens place digit of the first number by the second number.
- Add any carried over tens from the previous step to this result.
Step 6: Add the partial products
- Add the results obtained in Steps 2, 3, and 5 to get the final product.
- Write down the final product as the answer to the multiplication problem.
Example Calculation:
- Given problem: 39 times 24
- Calculate 9 times 4, carry over the tens, calculate 30 times 4, and then 20 times 9.
- Add the partial products together to get the final answer: 936.
Additional Example:
- Given problem: 57 times 68
- Follow the same steps as above to calculate the product: 3876.
By following these steps, you can effectively multiply two-digit numbers by two-digit numbers. Practice with different examples to master this multiplication technique.