maths tips n tricks

Welcome to the brilliant world of "Vedic" mathematics. It is an ancient system of calculation, which was "rediscovered" from the Vedas between 1911 and 1918 by Sri Bharati Krishna Tirthaji Maharaj (1884-1960).   Using the sutras or formulae of Vedic math's difficult, tiring arithmetical problems and huge sums can often be solved immediately and all of a sudden you find mathematics interesting. The simplicity of the Tirthaji system is such that calculations can be carried out mentally. We cannot fully appreciate the real beauty and effectiveness of Tirthaji system w ithout practicing it.  One can then see why its enthusiasts claim that it is the most refined and efficient calculating system known. Interest in the Tirthaji's system is growing in modern education and many schools have introduced Vedic math's in their curriculum.   In this blog I will try to introduce a few tips and tricks I have learned over the last few months.

Squaring of a number ending with 5 in less than five seconds In this maths trick, you will learn how to square a two-digit number ending with 5. Suppose you want to find the square of 45. It's super easy!. Multiply the first digit on the left by the next higher digit and put 25 in the end.  (45) ² =? Step 1 .  Multiply the ten's digit by the next-higher digit (i.e. in case of 4 it is 4+1=5) 4 x 5 = 20. This is the first part of the answer. Step 2.   Write down 25 in the next part. So the answer is 2025. Now let's try another number  (65) ² =? Step 1 .  Multiply the ten's digit by the next-higher digit (i.e. in case of 6 it is 6+1=7) 6 x 7 = 42. This is the first part of the answer. Step 2.   Write down 25 in the next part. So (65)  ²  = 4225. Now try squaring —– 25, 35, 55, 75, 85, 95.

Uses Of Vedic Mathematics: It helps a person  solve mathematical problems 10-15 times faster It helps in Intelligent Guessing It reduces burden of learning tables as we need to learn tables up to 9 only It is a magical tool to reduce rough work and finger counting It increases concentration. It helps in reducing silly mistakes

Squaring a number is simply multiplying a number by itself To find the square of a two-digit number ending in 5, multiply the tens digit  “By one more than the one before”  or by the next number.  Then suffix the product of 5 x 5, or  25 Example: Find 4 5 2 a. To get the first part, multiply the tens digit, 4 , by the next higher number, which is 5. 4 x 5 = 20 b. The second part is always  25 . So, 4 5 2  = 2025

The magic of 9 Can you multiply 65678*99999 in 5 seconds or less. Sounds impossible isn't it. Well the word impossible itself says I am possible. Let's see how can we do it Step 1: Write the number 65678 and subtract 1 from it. You get the left-hand side of the answer that is 65677. Step 2: Now subtract each digit of the answer from 9. You get the number 34322. This is the right-hand side of the answer. So 65678*99999 is 6567734322. Simple isn't it. Now let's do some simple ones 63 * 99 Step 1: 63-1 = 62 i.e. left-hand side of the answer. Step 2: subtract 6 from 9 and 2 from 9. You get 37 i.e. right-hand side of the answer So 63*99 = 6237. Super easy isn't it

Suppose you want to multiply 43 by 11 Step 1 : write the tens and the units digit with a gap like 4_____3 Step 2: Simply add the numbers 4 and 3 and write the answer in between the two numbers. i.e. 4+3=7 i.e 473 Simple isn't it You have become a mathemagician!

Can you multiply 104 by 103 within 5 seconds Surprising! Here is the trick 104 - 4 (here we consider 100 as the base and 104 is 4 more than 100) 103 - 3 (here we consider 100 as the base and 103 is 3 more than 100) Step 1: Select any number and add the unit digit of the other number Here add either  3 to 104 or 4 to 103; you get the first part of the answer i.e. 107 Step 2: Now multiply 4*3 you get the second part of the answer  i.e.  12 so your answer is 10712 Now let's consider another example 107*108  107 - 7 (here we consider 100 as the base and 107 is 7 more than 100) 108 - 8 (here we consider 100 as the base and 108 is 8 more than 100) Step 1: Now  add either  7 to 108 or 8 to 107 ; you get the first part of the answer i.e.  115 Step 2: Now multiply 7*8; you get the second part of the answer  i.e.  56   so your answer is  11556