Have you been having trouble with multiplication for Five-digit numbers? Well, you’re in the right place. Vedic Maths is all about calculating in ways that are quicker and more enjoyable. Using such easy techniques and tips, you will solve problems faster than you ever could and amaze your friends with your math skills. Get ready, and off we go!
The Basic Procedure for Multiplying 5 – Digit Numbers
Let’s recapture the procedure for multiplying two 5-digit numbers the basic way. You multiply the one’s place of the lower number by the upper number. Then you move to the tens place and multiply and remember to add one zero.
Then you have hundreds, which gives you two zeros; after this comes thousands, which provides you with three zeros, and finally tens of thousands, which add four zeros. After all that multiplication, everything is then summed up to give the final answer.
It works but it is quite a lot of steps, isn’t it? Let’s see a quicker, easier way!
Video Tutorial for Five Digit Multiplication Using Vedic Math
Here is a video tutorial if you are a visual learner like me. We will discuss the same examples in this article which are in the video, so don’t worry you won’t miss out on a thing.
5 Digit Multiplication Using Vedic Math
We will follow the same approach of vertical-cross-cross-vertical multiplication as we have in 3-digit and 4 multiplication so far. Hence it is highly recommended that you check out 2, 3, and 4 Digit Multiplication for a better understanding of 5 Digit Multiplication using Vedic Math.
The Urdhva-Tiryagbhyam Method for Five-Digit Multiplication
The Urdhva-Tiryagbhyam Method is a very efficient and quick way to multiply two or more numbers, and it is especially useful when dealing with large numbers. This method also helps to improve mental math skills and enhances overall mathematical abilities. It is an important technique in Vedic Mathematics and is still used today by many worldwide.
- Two Digit Multiplication
- Three Digit Multiplication
- Four Digit Multiplication
Example: Solve 28767 x 13654 with the help of 5-digit multiplication from Vedic Math.
Step 1: Write down the question, where one number is stacked over the other. After writing it down, apply the first operation of the multiplication–vertical multiplication of the rightmost two numbers.
7 x 4 = 28, we will write 8 and take 2 as a carry.
Step 2: Now in step 3, we will perform the first criss-cross multiplication of this question with 6 x 4 and 5 x 7 and add both numbers to obtain our next digit.
6 x 4 = 24, and 5 x 7 = 35, now adding both the numbers 24 + 35 + 2(carry) = 61. Therefore, we will write 1 and take 6 as a carry for the next step.
Step 3: Now in the third step, we move ahead with the criss-cross multiplication, adding another pair to our set.
4 x 7 + 6 x 5 + 6 x 7 = 100, and adding the previous carry which was 6, we get 16. Therefore we write 6 and take 10 as a carry for the next step.
Step 4: Now we will add one more vertical pair to our calculation into the previous step and carry out the same vertical-criss-cross multiplication.
8 x 4 + 7 x 5 + 6 x 6 + 7 x 3 =124, and we will add the previous carry that was 10, making our entry number 134. Hence we will write 4 and take 130 as carry for the next step.
Step 5: Now in the 5th step, we will take all the vertical pairs and crisscross multiply them.
2 x 4 + 8 x 5 + 7 x 6 + 6 x 3 + 7 x 1 = 115. After adding the previous carryover 115 + 13 = 128. Hence we will write 8 and take 12 as carryover for the next step.
Step 6: Now in this step, we will take again all the vertical pairs, except the rightmost one. We will proceed with our criss-cross method of multiplying.
5 x 2 + 6 x 8 + 3 x 7 + 6 x 1 = 85. Now adding the previous carryover, 85 + 12 = 97. Hence we will now write 7, and take 9 as a carryover for the next step.
Step 7: Now we will again exclude one more vertical pair from the rightmost side and follow our criss-cross multiplication method.
2 x 6 + 8 x 3 + 7 x 1 = 43, and now we will add the previous carryover, 43 + 9 = 52. Hence we will write 2 and take 5 as a carryover.
Step 8: In this step, we will continue with our criss-cross multiplication for the last time. This time, we will remove another vertical pair from our criss-cross multiplication.
2 X 3 + 1 X 8 = 14, and adding the previous carryover, 14 + 5 = 19, hence we will write 9 and take 1 as a carry.
Step 9: In the ninth and final step, we will vertically multiply the last pair after removing another vertical pair, which later leaves us with only one pair.
2 x 1 = 2, and adding the previous carryover 2 + 1 = 3. Hence, we will write 3.
Since we are over with vertical pairs, what number we are left with is 39278418 is our answer.
Always remember, examples like these are only to help you understand that you can do this easy calculation in your head in just a line. After certain practice with this, five digit multiplication will be at your fingertips.
Here is a video tutorial for video solutions and more questions like these.
Practice Problem
- 28767 x 47345
- 28767 X 13654
- 28879 X 95.321
- 98765 X 12345
For a video Solution to the problem and more practice, do not forget to check out our video that explains five Digit Multiplication in detail.
Make sure you subscribe to our YouTube channel Vedic Math School for more amazing tricks like this.
In the previous article of this series, we talked about two, three and four digit multiplication, We hope you loved the series. Check out vedicmathschool.org for amazing Vedic Math tricks and courses to become a mathematical prodigy.
