Mastering Multi-Digit Multiplication: Taking It to the Next Level

✨Multiplying a multi-digit number by another multi-digit number requires breaking it down into a series of multiplication steps.

🔢Each step involves multiplying the bottom digit by each top digit, starting from the ones place.

📝Keep track of the carried digits when adding the results of each step to ensure accurate calculations.

🔄If the bottom number has more than one digit, repeat the procedure for each digit separately.

➕To obtain the final answer, add the results of the separate multiplication steps together.

What is the procedure for multiplying a multi-digit number by another multi-digit number?

—The procedure involves breaking down the problem into a series of multiplication steps, one for each digit of the bottom number. In each step, multiply the bottom digit by each top digit and keep track of any carried digits.

What should I do if the bottom number has more than one digit?

—Repeat the multiplication procedure for each digit of the bottom number separately. Each digit will have its own set of multiplication steps and a separate answer line.

How do I add the results of the separate multiplication steps together?

—After completing all the multiplication steps, add the answers from each step together by starting from the ones place and carrying any digits as necessary.

What if the answer has more than one digit?

—If the answer has more than one digit, leave the ones digit in the answer line and carry the tens digit to the next column.

How can I practice multi-digit multiplication?

—Watch the video for step-by-step guidance and practice with additional problems in the "Prob with Rob" video examples on Math Antics. You can also try the exercises on your own to reinforce your understanding.

00:06Welcome to Math Antics! This video is about multiplying a multi-digit number by another multi-digit number.

00:26The procedure involves breaking down the problem into a series of multiplication steps.

02:21Let's go through an example: multiply 324 (a three-digit number) by 46 (a two-digit number).

02:26There will be three multiplication steps for the first digit and three steps for the second digit.

03:51For the second set of steps, remember to put a zero in the first spot of the answer line.

06:29After completing all the multiplication steps, add the answers from each step together to get the final answer.

07:45In our example, the final answer is 14,904.

08:08Practice with additional problems and exercises to improve your multi-digit multiplication skills.