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vedic maths

Learn How to Multiply 3-Digit Numbers Using Vedic Maths (With Examples)

Multiplying large numbers can often feel time-consuming and error-prone. Vedic Maths offers a structured, intuitive method called Vertically and Crosswise, which simplifies 3-digit multiplication into manageable, mental steps. In this blog, we’ll walk through examples and explain how this technique helps students master multiplication efficiently.

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Why Use Vedic Maths for 3-Digit Multiplication?

Vedic Maths is not just about shortcuts—it’s about understanding number patterns deeply. The Vertically and Crosswise method helps:

  • Reduce calculation time
  • Minimize errors
  • Boost confidence in exams
  • Improve mental agility

Vedic Maths helps make multiplication more enjoyable and efficient. Check out these simple tricks to make kids like math and bring fun into learning mathematical operations.

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Step-by-Step Example: Multiply 123 × 321

We break the multiplication into parts using the Vertically and Crosswise method:

  1. Units Place (Right-most digits):
    Multiply 3 × 1 = 3
  2. Crosswise Multiplication of Units and Tens:
    (2 × 1) + (3 × 2) = 2 + 6 = 8
  3. Middle digits (Crosswise and vertical):
    (1 × 1) + (2 × 2) + (3 × 3) = 1 + 4 + 9 = 14 (write 4, carry 1)
  4. Next crosswise (Hundreds × Tens & Tens × Hundreds):
    (1 × 2) + (2 × 3) = 2 + 6 = 8 + 1 (carry) = 9
  5. Hundreds Place:
    1 × 3 = 3

Now, arrange the result from right to left: 3, 8, 4, 9, 3
Final Answer = 39483

Practice More

Here are a few more problems you can try using this method:

  • 234 × 432
  • 345 × 543
  • 456 × 654
  • 567 × 765
  • 678 × 876

Want a printable version with space for solving? Scroll below to download. Once you’ve mastered 3-digit multiplication, take your Vedic Maths skills even further. Learn how to find cube roots by Vedic Maths and continue improving your mental math abilities.

Download Your Practice Worksheet and Answer Key

📥 Practice Worksheet:
Download Multiply 3-Digit Numbers Worksheet

📥 Answer Sheet:
Download 3-Digit Multiplication Answer Key

Use these tools to reinforce your understanding of the Vedic approach to multiplication.

Go Deeper with Our Vedic Maths Learning Tools

If you’re excited by the speed and clarity of Vedic Maths, don’t stop here. We offer a full range of guided learning materials tailored for school-age learners and home practice. Vedic Maths is an excellent way to overcome math anxiety and improve calculation speed. Discover how Vedic Math can change the way your child approaches math and foster enthusiasm for learning.

Explore our Vedic Maths product collection:
ColorPencil Vedic Maths Books and Tools

Featured Resource: Vedic Math Learning Book – Level 16

Want to take your multiplication and division skills to the next level?
Our Level 16 learning book is designed for students ready to master:

  • General and special methods of multiplication and division
  • Deep dive into fractions and decimals
  • Basic operations on fractional values
  • Real-world number operations—up to 100,000

Learn more:
Get the Level 16 Book

This book is ideal for students looking to strengthen their grasp on multi-digit multiplication, including the techniques demonstrated in this blog.

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Feeling Overwhelmed? Let’s Talk! Join Our Parent Forum and Get Expert Advice & Support!

Frequently Asked Questions (FAQs)

1. What is the Vertically and Crosswise method in Vedic Maths?

It is a technique from Vedic Maths used for fast multiplication. It involves multiplying digits in a structured crosswise and vertical pattern, reducing complex multiplications into manageable steps.

2. Can this method be used for all types of numbers?

Yes, it can be applied to numbers of any length—2-digit, 3-digit, or more. With practice, you can even multiply numbers mentally using this approach.

3. Is this faster than traditional multiplication?

For many students, yes. Once you become familiar with the pattern, Vedic multiplication is quicker than the conventional long multiplication method—especially for exams and mental math.

4. Do I need to memorize anything to use this method effectively?

It helps to know multiplication tables and be comfortable with addition and carrying. The more fluent you are with basic arithmetic, the easier it becomes.

5. Can children in early grades learn this method?

Students in grades 4 and above can begin learning Vedic multiplication methods, especially if they are already confident with 2-digit multiplications.

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