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Vedic Math can be used to multiply large numbers in a matter of seconds without using a calculator! Here are some quick examples of how you can use this technique.
Steps
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Write the two digit numbers next to each other as so:
- 97 x 93
- Note: This example is for two-digit numbers that start with the same number and have second digits that equal 10 when added together (in this example, both numbers start with 9 and the second digits, 7 and 3, have a sum of 10).
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First, we multiply the two second digits together. In this case that would be: [1] X Research source
- 7 x 3 = 21
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Place this result to the right-hand side of the final answer.
- Here you can see that the final answer will look like xx21
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Now add 1 to the first digit of the first number:
- 9 + 1 = 10
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Place this result on the left-hand side of the final answer, and you'll see that you have quickly calculated the correct answer to the original problem.
- 9021
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Take another set of two-digit numbers to be multiplied. Keep in mind that the first digits are the same and the sum of the second digits equals 10.
- 98 x 92
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Above each number, right the difference, or how deficient each of the numbers is from 100. [3] X Research source
- 98 is -2 from 100, so write -2 above 98
- 92 is -8 from 100, so write -8 above 92
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Cross-subtract these numbers from the value on the other side of the multiplication sign. You will see that it results in the same number.
- 98 - 8 = 90
- 92 - 2 = 90
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Place this number to the left-hand side of the final answer
- Now you can see that the final answer will look like 90xx
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Place this number to the right-hand side of the final answer, and again see that you have quickly calculated the correct answer to the original problem.
- 9016
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Take the two three-digit numbers to be multiplied and write as so:
- 104 x 103
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Now that we are above 100, right down how much higher each number is from 100. [5] X Research source
- 104 is +4 from 100, so write +4 above 104
- 103 is +3 from 100, so write +3 above 103
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Cross-add these numbers from the value on the other side of the multiplication sign. You will see that it results in the same number.
- 104 + 3 = 107
- 103 + 4 = 107
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Place this number to the left-hand side of the final answer. [6] X Research source
- Now you can see that the final answer will look like 107xx
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Multiply the two differences together.
- 4 x 3 = 12
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Place this number to the right-hand side of the final answer, and even here you'll be able see that you have quickly calculated the correct answer.
- 10712
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Expert Q&A
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QuestionHow do I easily do mental math?Kevin Wang is a Math Tutor based in New York, New York. Kevin has been tutoring math for over 10 years, and specializes in K-12 math topics and standardized tests, such as SAT and ACT. Kevin has an economics background and a career in both finance and marketing analytics. His interest in tutoring goes back even longer than his career. He discovered tutoring at the start of his university career and enjoys it as a way to stay sharp with fundamental skills and remain up to date with trends in our education system. Kevin received a BS in Economics from Duke University.You can make mental math easier by breaking down the numbers into smaller, more manageable components. For example, when multiplying double-digit numbers such as 23 multiplied by 23, first perform the multiplication of the single digits like 3 x 3. Next, multiply the single digit of one number by the tens digit of the other 3 x 20. Do the same for the tens digit of the first number by the single digit of the second 20 x 3. Finally, do both tens digit numbers together: 20 x 20. Finally, add all of these products together for the final answer. It is a method much like FOIL in algebra, but with numbers, not variables.
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QuestionWhy do I cross-multiply them?WOOHPCommunity AnswerTo simplify the answer to make it easier.
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QuestionDoes this apply to times 11 too?FreyrTop AnswererYes, if the number multiplying by 11 was 19. The last digit of both numbers must add up to 10, and the first number must be equal on them.
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Tips
- Although this is a handy method to do some quick multiplication, make sure you know exactly what you're doing before abandoning your calculator. If you have one, it couldn't hurt to check your answer.Thanks
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Expert Interview
Thanks for reading our article! If you’d like to learn more about math, check out our in-depth interview with Kevin Wang .
References
- ↑ https://www.youtube.com/watch?v=PYrgjMubh-c
- ↑ https://www.youtube.com/watch?v=PYrgjMubh-c
- ↑ http://mathlearners.com/vedic-mathematics/multiplication-in-vedic-mathematics/
- ↑ http://mathlearners.com/vedic-mathematics/multiplication-in-vedic-mathematics/
- ↑ https://www.youtube.com/watch?v=7F0xtQ66dcg&feature=emb_logo
- ↑ https://www.youtube.com/watch?v=7F0xtQ66dcg&feature=emb_logo
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