Vedic Maths Tricks to Calculate Faster
For some students, Math can be quite a tricky subject to master, especially when unaware of the best Vedic Maths tricks. Before we tell you about these, do you know what Vedic Math is? It is an ancient collection of sutras that can help students solve Math problems super-quickly.
Must-know Vedic Maths Tricks
Vedic Maths Tip 1: Finding the Square of a Two-Digit Number That Ends with Five
This tip is among the top Math tricks every student must know. Let us take an example. Imagine you need to find the answer to this: (25) ² =?
For this, here are the steps:
Step 1: 25 x 25 = __25 (the answer will always end with 25)
Step 2: Now, you need to multiply the first digit of the two-digit number by (the first digit+1) to find the term for the blank. In this case, it is 2x (2+1). The answer to this is 6.
Hence the answer to (25) ² = 625.
Easy isn’t it? Now, try finding the square of 55 and 75.
Vedic Math Tip 2: Multiplying Any Number by Five
For this tip, you need to consider if the number is even or odd. Once you determine this, do the following:
For Even Numbers
Let us take the following example for this:
2244 x 5 =?
Step 1: Divide the number by two. This makes 2244 / 2 = 1122
Step 2: Add a zero to the calculation above, and you will get the answer: 11220.
Thus, 2244 x 5 = 11220
For Odd Numbers
Let us take the following example for this:
2245 x 5 =?
Step 1: For this, follow the formula: (Number – 1) / 2.
For the above example, this will be (2245 – 1)/2 = 1122
Step 2: Now, instead of zero, you need to put five at the end, and you will get the answer 11225.
Thus, 2245 x 5 = 11225
Now that you know these Vedic Maths tricks, try finding the answer to 1356 x 5 and 455 x 5 using the same.
Vedic Math Tip 3: Subtracting Anything from 1000, 10000, or 100000
If you are weak in calculations and want to know how to calculate fast in mind, this tip is for you. An example for this will be:
1000 – 423 =?
For this Vedic Math tricks, subtract the first two digits in the number 423 from the nine and the last from ten. The steps will be as follows:
Step 1: 9 – 4 = 5
Step 2: 9 – 2 = 7
Step 3: 10 – 3 = 7
Now, simply write all the answers in each step together, and you get your final answer, 577.
Thus, 1000 – 423 = 577.
Now, use the same tip to solve the following:
1000 – 346 =?
10,000 – 1087 =?
1000 – 827 =?
10,000 – 1579 =?
Vedic Math Tip 4: Multiplying Any Two-Digit Numbers Between 11 to 19
For students who are searching for Vedic Maths Tricks for competitive exams, this tip is super-useful. The example we will take for this is: 12 x 15 =?
Step 1: Firstly, you need to add the unit digit of the smaller number to the larger one. It means 15 + 2 = 17.
Step 2: Now, take the above result and multiply it by 10.
17 x 10 = 170
Step 3: After this, take the unit digits of both the numbers in the question and multiply them.
Here, this would be:
2 x 5 = 10
Step 4: Lastly, add the result in steps 2 and 3. With this, you get the answer: 170 + 10 = 180.
Thus, 12 x 15 = 180
Now, use Vedic maths tricks to solve the following: 19 x 18 =?
Vedic Math Tip 5: Dividing A Large Number by Five
Let us take the following example: 245 / 5 =?
To solve this, follow these steps:
Step 1: Multiply the number to be divided by two.
Here, 245 x 2 = 490
Step 2: Now, you need to move the decimal point to the left, and you have the answer. This makes it 49.0 or just 49.
Thus, 245 / 5 = 49.
If you understand this method, try solving 3349 / 2.
Vedic Math Tip 6: Multiplying A Two-digit Number by Eleven
Let us explain this by solving what is 32 x 11?
For this, simply place the two-digit number according to this formula and add the center part:
Answer = (First digit of the number (First digit of the number + second digit of the number) First digit of the number)
Thus, this makes it: 32 x 11 = 3 (3+2) 2.
The answer you will get here is 352.
Thus, 32 x 11 = 352.
Now try this tip to answer what is 96 x 11?
Vedic Math Tip 7: Multiplying Three-digit Numbers
Let us say you want to find the answer to 306 x 308 =? For this, do the following:
Step 1: Start with subtracting the unit place digit from the actual numbers.
Thus, 308 – 8 = 300 and 306 – 6 = 300.
Step 2: Now, choose any number out of the two and add it to the unit digit of the other number. If we take 308, this will be 308 + 6 = 314.
Step 3: Then, multiply the results of steps 1 and 2, and you will get 314 × 300 = 94200.
Step 4: After this, calculate the product of the unit digits of both the numbers. Here, 8 × 6 = 48.
Step 5: Lastly, add the results of steps 3 and 4 to get the answer. Here, 94200 + 48 = 94248.
Thus, 306 x 308 = 94248.
Simple, isn’t it? Now, use this method to find the answer to 808 x 508 =?
Vedic Math Tip 8: Finding the Square Value of a Number
Let us suppose you need an answer for (99)² =?
For this, the steps are:
Step 1: Firstly, you need a base closer to the number in the question. Here, it can be 100.
Step 2: Now, calculate the difference of the number from the base. It means 99 – 100 = -1.
Step 3: After this, add this difference to the number. Here, 99 + (-1) = 98.
Step 4: Then, multiply the result you get above with the base: 98 x 100 = 9800
Step 5: Lastly, add the product of the square of the difference with the result in step 4 to get the final answer. Here, 9800 + (-1) ² = 9801.
Thus, (99) ² = 9801.
Do you want to practice more? Try solving this: (102) ² =?