Practice with Our Flashcards

Understanding the Problem:

Let's explore how to multiply 7 by 253 using the standard regrouping method.

Step 1: Set Up the Problem

• Write the larger number, 253, first.

• Place the smaller number, 7, below it, aligning it with the ones place.

Step 2: Multiply the Ones Place

• Multiply 7 by 3 (the ones place in 253).

• 7 x 3 = 21.

• Write down the 1 and carry over the 2 to the tens place.

Step 3: Multiply the Tens Place

• Multiply 7 by 5 (the tens place in 253).

• 7 x 5 = 35.

• Add the carried-over 2 to 35, resulting in 37.

• Write down the 7 and carry over the 3 to the hundreds place.

Step 4: Multiply the Hundreds Place

• Multiply 7 by 2 (the hundreds place in 253).

• 7 x 2 = 14.

• Add the carried-over 3 to 14, resulting in 17.

• Write down 17 since there are no more digits to multiply.

Final Answer:

• The result of 7 x 253 is 1,771.

By following these steps, you can effectively multiply any three-digit number by a single-digit number using the regrouping method.

Summary

Learning how to multiply three-digit numbers by single-digit numbers with regrouping is a vital math skill. Khan Academy provides a clear and detailed video that guides you through this process, ensuring you can grasp and apply the method confidently. Supplement your learning with our flashcards and practice video to master this technique fully.