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Mastering Multiplication: Multiplying 3-Digit Numbers by 1-Digit Numbers (Regrouping)
To reinforce your learning, try our custom flashcards. These flashcards are designed to help you practice multiplying three-digit numbers by single-digit numbers, ensuring you understand and can apply the regrouping method effectively. Download the flashcards or watch our practice video to test your skills.
Step-by-Step Guide: Multiplying 7 by 253
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.
When it comes to multiplying large numbers, the technique of regrouping is essential. For a comprehensive guide on this topic, Khan Academy offers an excellent video tutorial that breaks down the process step by step. This video demonstrates how to multiply a three-digit number by a single-digit number using the example 7 x 253. You can watch and learn from the full video embedded below.