Can you tell me whats 45 x 45 = ?? or 65 x 65 = ?? or 85 x 85 = ??
You can Mentally solve the above problems after learning the trick that I am gonna teach you today.
So here goes the trick
For Example calculating whats 65 x 65 = ???, Step 1 : We'll multiply the two last digits of each number i.e. = 5 x 5 =25 Step 2: Increase 1st digit of any number by 1 & then multiply it with 1 digit of next number, i .e 6 is increased by 1 so it becomes 7 & its product will be 7 x 6 = 42 Step 3: Append those numbers i.e. 42 25 & thats your answer.
Lets take another example to understand is better
For Example calculating whats 95 x 95 = ???, Step 1 : We'll multiply the two last digits of each number i.e. = 5 x 5 =25 Step 2: Increase 1st digit of any number by 1 & then multiply it with 1 digit of next number, i .e 9 is increased by 1 so it becomes 10 & its product will be 10 x 9 = 90 Step 3: Append those numbers i.e. 90 25
Now i am sure you can find square of any number with multiple of 5 mentally just increase the number by 1 & multiply it with next digits 1 st number. Then just at last append 25 to it.
Note: you can only apply this trick to numbers ending with 5 only. In vedic Maths we have 16 sutras, 13 sub sutras each of which lists a mental calculation technique. The 16 sutras are as follows:Get A Complete Vedic Math Tricks Book:
http://www.vedamu.org/Veda/1795$Vedic_Mathematics_Methods.pdf Vedic Mathematics is a book written by the Indian Hindu cleric Bharati Krishna Tirthaji and first published in 1965. It contains a list of mental calculation techniques claimed to be based on the Vedas. The mental calculation system mentioned in the book is also known by the same name or as "Vedic Maths". Its characterization as "Vedic" mathematics has been criticized by academics, who have also opposed its inclusion in the Indian school curriculum.
Criticism: Tirthaji claimed that he found the sutras after years of studying the vedas, a set of sacred ancient Hindu texts. However, the vedas do not contain any of the "Vedic mathematics" sutras.[1][5] First, Tirthaji’s description of the mathematics as Vedic is most commonly criticised on the basis that, thus far, none of the sūtras can be found in any extant Vedic literature (Williams, 2000). When challenged by Professor K.S. Shukla to point out the sutras in question in the Parishishta of the Atharvaveda, Shukla reported that the Tirthaji said that the sixteen sutras were not in the standard editions of the Parishishta, and that they occurred in his own Parishishta and not any other.[6][7] Professor Vasudeva Saran Agrawala, the editor of the first edition of Tirthaji's book, notes that there is no evidence that the sutras are "Vedic" in their origin.[2]:6 Similarly, S. G. Dani of IIT Bombay points out that the contents of the book have "practically nothing in common" with the mathematics of the Vedic period or even subsequent Indian mathematics. For example, multiple techniques in the book involve the use of decimal fractions, which were not known during the Vedic times: even the works of later mathematicians such as Aryabhata, Brahmagupta and Bhaskara do not contain any decimal fractions. He contends that Tirthaji has liberally interpreted three-word Sanskrit phrases to associate them with arithmetic.[1] Tirthaji's claim that the sutras are relevant to advanced mathematical techniques such as successive differentiation or analytical conics have also been dismissed by Dani. He terms "ludicrous" Tirthaji's claim that "there is no part of mathematics, pure or applied, which is beyond their jurisdiction". He also points out that while Tirthaji's methods were not unique, they may have been invented by him—he held an MA in mathematics—independently. Similar systems include the Trachtenberg system or the techniques mentioned in Lester Meyers's 1947 book High-speed Mathematics.[1] Alex Bellos points out that several of the calculation tricks can also be found in early Modern European treatises on calculation.[8] Finding Square of a Number ending with 5 Lets learn how to find the square of numbers ending in 5 using Vedic Mathematics: The square of any number ending in 5, (like 15, 25, 1055 etc.,) in the form of ‘a5’ , can be written as n25 where n is a * (a + 1)). So, a5^2 = n25 where n = a*(a+1). Let’s try this with some examples. Example: 1 35^2. Here a = 3. The answer will be n25 where n = a*(a+1) = 3*(3+1) = 12; The answer is 1225 Example: 2 Let’s take a bigger number this time. 155^2. Here a = 15, n = 15*16 = 240. Hence the answer is 24025. Example: 3 Now let’s do one more time with an even bigger number. 1005^2 . a = 100, n=100*101 = 10100. Hence the answer is 1010025. Isn’t it cool?. Just with this example, you will save over 1 minute and that could potentially make a huge difference. Take some more examples to get a better grip on this method. And dont forget to drop your comments below. Thanks Today Well Learn How can we Multiply 81 x 9 or 71 x 5 or 41 x 8 in Just 3 Seconds.
So this is how We'll be applying the Vedic Math Trick to get the answer in Just 3 Seconds. Example 1. To know whats 81 x 9 = ??? Step 1: First Multiply 8 x 9 = 72 Step 2: Multiply 1 x 9 = 9 Step 3: Club the 2 Answer that we got i.e. 729 Example 2. 71 x 5 = ??? Step 1: First Multiply 7 x 5 = 35 Step 2: Multiply 1 x 5 = 5 Step 3: Club the 2 Answer that we got i.e. 355 The third example is for you to practice & I am sure you'll solve it in Under 3 Second ; ) Lets take a jump How about multiplying 401 x 6 = ??? Step 1: First Multiply 40 x 6 = 240 Step 2: Multiply 1 x 6 = 6 Step 3: Club the 2 Answer that we got i.e. 2406 Points to be Consider While picking up practice problem on this:
Let me know if you have any problem in getting any answer. Thanks, Enjoy & Share the trick with your friends & family. |
AuthorA Math Lover!! I have trained students who used to fear from Maths and now are active participant in the Math Contest conducted all around the world Archives
September 2016
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