Vadic Mathematics Jr

Vedic Mathematics Jr

Benefits of Vedic Math It enables faster calculation as compared to the usual method. It promotes mental calculation. It gives students a better understanding of mathematic. Vedic math improves the spiritual side of the child’s personality. Increase creativity and confidence. Written by U Saxena All The Best

Vedic Mathematics Jr. U Saxena ∞Vedic Mathematics∞ ｡◕‿◕｡ 1. Squaring Of A Number Whose Unit Digit Is 5 With this Vedic Math trick, you can quickly find the square of a two-digit number ending with 5. CBSE or ICSE-whatever syllabus you follow, you will definitely come across such sums. For example Find (55)² =? Step 1. 55 x 55 = . . 25 (end terms) Step 2. 5x (5+1) = 30 So our answer will be 3025. Well, if you have understood the process try to find the square of 75 & 95. 2. Multiply a Number By 5 Generally, you come across such calculations in ICSE/ CBSE exams or homework or while thinking mentally (JEE, KVPY, Olympiad & lot more) to solve a Math problem. Next time use this trick to save your time. Take any number, and depending on its even or odd nature, divide the number by 2 (get half of the number). Even Number: 2464 x 5 =? Step 1. 2464 / 2 = 1232 Step 2. Add 0 The answer will be 2464 x 5 = 12320 Odd Number: - 1 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena 3775 x 5 Step 1. Odd number; so ( 3775 – 1) / 2 = 1887 Step 2. As it is an odd number, so instead of 0 we will put 5 The answer will be 3775 x 5 = 18875 Time to check your knowledge: Now try —- 1234 x 5, 123 x 5 3. Subtraction From 1000, 10000, 100000 Tell me, how much time will you take to subtract a number from 100’s multiple such as 1000, 1000, 10000? 1 min or less? Leave that, try to calculate with this new formula and think if it’s easy & reduce your calculation time or not! For example: 1000 – 573 =? (Subtraction from 1000) We simply subtract each figure in 573 from 9 and then subtract the last figure from 10. Step 1. 9 – 5 = 4 Step 2. 9 – 7 = 2 Step 3. 10 – 3 = 7 So, the answer is: (1000 – 573) = 427 Here are some practice sums for you. Try to solve these sums using the mentioned Vedic Math Tricks. 1000 – 857, 10,000 – 1029, 10,000 – 1264, 1000 – 336. 4. Multiplication Of Any 2-digit Number Till Math is there, you need to do such calculation each & every day, whether you are from CBSE board or ICSE Board. This Vedic Trick is especially for getting the result when you multiply any two-digit number from a two-digit number. Once you practice this Vedic Trick for a number of times, you might never need a calculator to get the result as you will calculate faster than the machine. There are two methods :- Method 1 Method 2 Example 1- Multiply 31 and 22 (for 11 to 19) There are 4 steps to get the result: - 2 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Step 1. Add the unit digit of the smaller Step 1- Multiply the numbers vertically number to the larger number. in the the last column. 1×2=2 Step 2. Next, multiply the result by 10. Step 3. Now, multiply the unit digits of Step 2- Multiply the numbers crosswise both the 2-digit numbers. in both the columns and add the results. Step 4. Then add both the numbers. 1×2=2 and 3×2=6 For example: Let’s take two numbers 13 2+6=8 & 15. Note: If the result is a 2-digit number, Step 1. 15 + 3 =18. retain the rightmost digit and carry over Step 2. 18×10 = 180. the left digit Step 3. 3×5 = 15 Step 3- Multiply the numbers vertically Step 4. Add the two numbers, 180+15 in the first column. and the answer is 195. 3x2=6 Hope you have understood this Vedic 31×22=6 (product in first column) 8 (sum Math Trick. It might seem a bit complex of the cross products, 2+6) 2 (product in at first, but trust me once you master it, your calculation speed will increase by at last column), i.e., 682 least 80%. And, that is something every Therefore, 31 x 22 = 682. Example 2- Multiply 43 x 33. student needs to score well in Math! Using this Vedic Trick, solve these sums Step 1- 3×3=9 Step 2- 3x3=9 and 4x3=12 and share your result: 15×18, 11×13, 19×19 12+9=21 Since the result is a 2-digit number, retain the rightmost digit Le.. 1 and carry over the left digit le. 2 to the first column. Step 3- 12+2(carried over)=14 Therefore, 43×33=1419 5. Dividing A Large Number By 5 Tell me, how do you generally divide a large digit number by 5? And, how much time do you take to solve such sums? Here is your challenge- Divide 2128 by 5. Before you start, start the timer. Done in 2 secs? Ok! 4 secs? No? Well, next time divide the number using this Vedic Trick and note down the time taken to solve the sum. So, what are the steps? 1st step. Multiply the number by 2 2nd step: Move the decimal point to left. 3rd step: Left side of the decimal point is your answer. For example: 245 / 5 =? - 3 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Step 1. 245 × 2 = 490 Step 2. Move the decimal: 49.0 or just 49 Let’s try another: 2129 / 5 Step 1: 2129 × 2 = 4258 Step2: Move the decimal: 425.8 or just 425 Now you try to solve 16951/5, 2112/5, 4731/5 6. Multiply Any Two-digit Number By 11 Use this Vedic Math trick to complete multiplication sin just 2 seconds. So, let’s see how you can reduce your calculation using this Vedic Trick. For example: 32 x 11 32 × 11 = 3 (3+2) 2 = 352 So, the answer is: 32 × 11 =352 Another Example: 52 x 11 = 5 (5+2) 2 = 572 Now try 35×11, 19×11, 18×11. 7. Multiplication Of Any 3-digit Numbers Suppose you want to multiply these 2 numbers: 306 and 308 Step 1. Now subtract the unit place digit from the actual number. 308-8=300 306-6=300 Step 2. Now select any (1st or 2nd) number and add the unit digit of the other number 308+6=314 Step 3. Now we will multiply the product we got in step 2 and step 1; 314×300 = 94200 Step 4. Unit digits of both the numbers are 8 & 6. The product of these 2 numbers: 8×6=48 Step 5. Last step: 94200 + 48 = 94248 So our final answer 306 x 308 = 306 is 94248 - 4 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Solve these sums using the same method and feel the difference- 808×206, 536×504, 408×416. 8. Find The Square Value Finding the square of a number in using Vedic Maths Trick is easy. Just follow the below steps: Step 1.Choose a base closer to the original number. Step 2. Find the difference of the number from the base. Step 3. Add the difference with the original number. Step 4. Multiply the result with the base. Step 5. Add the product of the square of the difference with the result of the above point. (99) ² =? Step 1. Choose 100 as base Step 2. Difference: 99-100 = -1 Step 3. Add the number with the difference that you got in Step 2 = 99 + (-1) = 98 Step 4. Multiplying result with base = 98*100 = 9800 Step 5. Now, add result with the square of the difference= 9800 + (-1)² = 9801 So our answer is : (99) ² = 9801 For your practice: (98)², (97)², (102)², (101)². 9. Multiply any large number by 12 To multiply any number by 12 just double last digit and thereafter double each digit and add it to its neighbour. For example 13243 × 12 = ? Let’s break it into simple steps: Step 1. 13243 × 12 = _____6 (Double of Last Digit 3= 6 ) Step 2. 13243 × 12 = ____16 (Now Double 4= 8, and add it to 3, 8+3=11, 1 will get carry over ) Step 3. 13243 × 12= ___916 (Now Double 2=4, and add it to 4 with carry, 4+4+1=9) Step 4. 13243× 12= __8916 (Now Double 3=6, and add it to 2, 6+2=8) - 5 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Step 5. 13243 × 12= _58916 (Now Double 1=2, and add it to 3, 1+3=5) Step 6. 13243 × 12= 158916 (Now Double 0=0, and add it to 1, 0+1=1) So your final answer of 13243 * 12 = 158916 Now try…2431×12, 1256×12, 1964×12, 7236×12. 10. Convert kilograms to pounds quickly If you want to convert kilograms to pounds, you can do it in your head in few seconds. Let take an example: Convert 112 Kg to pound. Step 1. Multiply Kg value by 2 112X2= 224 Step 2. Divide the previous one by 10 224/10=22.4 Step 3. Add both the number 224+ 22.4= 246.4 pounds. 11. Table of 99 (Trick) 99×1=099 99×2=198 99×3=297 99×4=396 99×5=495 99×6=594 99×7=693 99×8=792 99×9=891 99×10=990 Observe the Pattern - 6 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Top 5 brilliant mathematicians Isaac Newton (1642-1727) We start our list with Sir Isaac Newton, considered by many to be the greatest scientist of all time. There aren't many subjects that Newton didn't have a huge impact in — he was one of the inventors of calculus, built the first reflecting telescope and helped establish the field of classical mechanics with his seminal work, \"Philosophiæ Naturalis Principia Mathematica.\" He was the first to decompose white light into its component colors and gave us the three laws of motion, now known as Newton's laws. (You might remember the first one from school: \"Objects at rest tend to stay at rest and objects in motion tend to stay in motion unless acted upon by an external force.\") We would live in a very different world had Newton not been born. Other scientists would probably have worked out most of his ideas eventually, but there is no telling how long it would have taken and how far behind we might have fallen from our current technological trajectory. - 7 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Carl Gauss (1777-1855) Isaac Newton is a hard act to follow, but if anyone can pull it off, it's Carl Gauss. If Newton is considered the greatest scientist of all time, Gauss could easily be called the greatest mathematician ever. Carl Friedrich Gauss was born to a poor family in Germany in 1777 and quickly showed himself to be a brilliant mathematician. He published \"Arithmetical Investigations,\" a foundational textbook that laid out the tenets of number theory (the study of whole numbers). Without number theory, you could kiss computers goodbye. Computers operate, on a the most basic level, using just two digits — 1 and 0, and many of the advancements that we've made in using computers to solve problems are solved using number theory. Gauss was prolific, and his work on number theory was just a small part of his contribution to math; you can find his influence throughout algebra, statistics, geometry, optics, astronomy and many other subjects that underlie our modern world. - 8 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena John von Neumann (1903-1957) John von Neumann was born János Neumann in Budapest a few years after the start of the 20th century, a well-timed birth for all of us, for he went on to design the architecture underlying nearly every single computer built on the planet today. Right now, whatever device or computer that you are reading this on, be it phone or computer, is cycling through a series of basic steps billions of times over each second; steps that allow it to do things like render internet articles and play videos and music, steps that were first thought up by von Neumann. Von Neumann received his Ph.D. in mathematics at the age of 22 while also earning a degree in chemical engineering to appease his father, who was keen on his son having a good marketable skill. Thankfully for all of us, he stuck with math. In 1930, he went to work at Princeton University with Albert Einstein at the Institute of Advanced Study. Before his death in 1957, von Neumann made important discoveries in set theory, geometry, quantum mechanics, game theory, statistics, computer science and was a vital member of the Manhattan Project. - 9 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Alan Turing (1912-1954) Alan Turing was a British mathematician who has been call the father of computer science. During World War II, Turing bent his brain to the problem of breaking Nazi crypto-code and was the one to finally unravel messages protected by the infamous Enigma machine. Being able to break Nazi codes gave the Allies an enormous advantage and was later credited by some historians as one of the main reasons the Allies won the war. Besides helping to stop Nazi Germany from achieving world domination, Turing was instrumental in the development of the modern computer. His design for a so-called \"Turing machine\" remains central to how computers operate today. The \"Turing test\" is an exercise in artificial intelligence that tests how well an AI program operates; a program passes the Turing test if it can have a text chat conversation with a human and fool that person into thinking that it too is a person. Turing's career and life ended tragically when he was arrested and prosecuted for being gay. He was found guilty and sentenced to undergo hormone treatment to reduce his libido, losing his security clearance as well. On June, 8, 1954, Turing was found dead of apparent suicide by his cleaning lady. - 10 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Turing's contributions to computer science can be summed up by the fact that his name now adorns the field's top award. The Turing Award is to computer science what the Nobel Prize is to chemistry or the Fields Medal is to mathematics. In 2009, then British Prime Minister Gordon Brown apologized for how his government treated Turing, but stopped short of issuing an official pardon. Benoit Mandelbrot (1924-2010) Benoit Mandelbrot landed on this list thanks to his discovery of fractal geometry. Fractals, often-fantastical and complex shapes built on simple, self-replicable formulas, are fundamental to computer graphics and animation. Without fractals, it's safe to say that we would be decades behind where we are now in the field of computer-generated images. Fractal formulas are also used to design cellphone antennas and computer chips, which takes advantage of the fractal's natural ability to minimize wasted space. - 11 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Mandelbrot was born in Poland in 1924 and had to flee to France with his family in 1936 to avoid Nazi persecution. After studying in Paris, he moved to the U.S. where he found a home as an IBM Fellow. Working at IBM meant that he had access to cutting-edge technology, which allowed him to apply the number-crunching abilities of electrical computer to his projects and problems. In 1979, Mandelbrot discovered a set of numbers, now called the described by science-fiction writer Arthur C. Clarke as Mandelbrot set, that were \"one of the most beautiful and astonishing discoveries in the entire history of mathematics.\" (To learn more about the technical steps behind drawing the Mandelbrot set, click over to the infographic I made last year for a class that I'm taking.) Mandelbrot died of pancreatic cancer in 2010. P T O • - 12 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena The great mathematician of India Srinivasa Ramanujan Aiyangar (December 22, 1887 – April 26, 1920) Srinivasa Ramanujan Aiyangar (December 22, 1887 – April 26, 1920) was an Indian mathematician. He is considered to be one of the most talented mathematicians in recent history. His father’s name was Kuppuswami and mother’s name was Komalatammal. On 1st October 1892 Ramanujan was enrolled at local school. He did not like school so he tried to avoid attending. He had no formal training in mathematics. However, he has made a large contribution to number theory, infinite series and continued fractions. - 13 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena The great scientist of Physics Albert Einstein Albert Einstein, (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.), German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect. Einstein is generally considered the most influential physicist of the 20th century. Einstein’s parents were secular, middle-class Jews. His father, Hermann Einstein, was originally a featherbed salesman and later ran an electrochemical factory with moderate success. His mother, the former Pauline Koch, ran the family household. He had one sister, Maria (who went by the name Maja), born two years after Albert. Einstein would write that two “wonders” deeply affected his early years. The first was his encounter with a compass at age five. He was mystified that invisible forces could deflect the needle. This would lead to a lifelong fascination with invisible forces. The second wonder came at age 12 when he discovered a book of geometry, which he devoured, calling it his “sacred little geometry book.” Einstein became deeply religious at age 12, even composing several songs in praise of God and chanting religious songs on the way to school. This began to change, however, after he read science books that contradicted his religious beliefs. This challenge to established authority left a deep and lasting impression. At the Luitpold Gymnasium, Einstein often felt - 14 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena out of place and victimized by a Prussian-style educational system that seemed to stifle originality and creativity. One teacher even told him that he would never amount to anything. Yet another important influence on Einstein was a young medical student, Max Talmud (later Max Talmey), who often had dinner at the Einstein home. Talmud became an informal tutor, introducing Einstein to higher mathematics and philosophy. A pivotal turning point occurred when Einstein was 16 years old. Talmud had earlier introduced him to a children’s science series by Aaron Bernstein, Naturwissenschaftliche Volksbucher (1867–68; Popular Books on Physical Science), in which the author imagined riding alongside electricity that was traveling inside a telegraph wire. Einstein then asked himself the question that would dominate his thinking for the next 10 years: What would a light beam look like if you could run alongside it? If light were a wave, then the light beam should appear stationary, like a frozen wave. Even as a child, though, he knew that stationary light waves had never been seen, so there was a paradox. Einstein also wrote his first “scientific paper” at that time (“The Investigation of the State of Aether in Magnetic Fields”). Einstein’s education was disrupted by his father’s repeated failures at business. In 1894, after his company failed to get an important contract to electrify the city of Munich, Hermann Einstein moved to Milan to work with a relative. Einstein was left at a boardinghouse in Munich and expected to finish his education. Alone, miserable, and repelled by the looming prospect of military duty when he turned 16, Einstein ran away six months later and landed on the doorstep of his surprised parents. His parents realized the enormous problems that he faced as a school dropout and draft dodger with no employable skills. His prospects did not look promising. Fortunately, Einstein could apply directly to the Eidgenössische Polytechnische Schule (“Swiss Federal Polytechnic School”; in 1911, following expansion in 1909 to full university status, it was renamed the Eidgenössische Technische Hochschule, or “Swiss Federal Institute of Technology”) in Zürich without the equivalent of a high school diploma if he passed its stiff entrance examinations. His marks showed that he excelled in mathematics and physics, but he failed at French, chemistry, and biology. Because of his exceptional math scores, he was allowed into the polytechnic on the condition that he first finish his formal schooling. He went to a special high school run by Jost Winteler in Aarau, Switzerland, and graduated in 1896. He also renounced his German citizenship at that time. (He was stateless until 1901, when he was granted Swiss citizenship.) He became lifelong friends with the Winteler family, with whom he had been boarding. (Winteler’s daughter, Marie, was Einstein’s first love; Einstein’s sister, Maja, would eventually marry Winteler’s son Paul; and his close friend Michele Besso would marry their eldest daughter, Anna.) - 15 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Einstein would recall that his years in Zürich were some of the happiest years of his life. He met many students who would become loyal friends, such as Marcel Grossmann, a mathematician, and Besso, with whom he enjoyed lengthy conversations about space and time. He also met his future wife, Mileva Maric, a fellow physics student from Serbia. God Bless You - 16 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Mathematics (a mystery) π = 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 38196 44288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 41273 72458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 83011 94912 98336 73362 44065 66430 86021 39494 63952 24737 19070 21798 60943 70277 05392 17176 29317 67523 84674 81846 76694 05132 00056 81271 45263 56082 77857 71342 75778 96091 73637 17872 14684 40901 22495 34301 46549 58537 10507 92279 68925 89235 42019 95611 21290 21960 86403 44181 59813 62977 47713 09960 51870 72113 49999 99837 29780 49951 05973 17328 16096 31859 50244 59455 34690 83026 42522 30825 33446 85035 26193 11881 71010 00313 78387 52886 58753 32083 81420 61717 76691 47303 59825 34904 28755 46873 11595 62863 88235 37875 93751 95778 18577 80532 17122 68066 13001 92787 66111 95909 21642 01989 38095 25720 10654 85863 27886 59361 53381 82796 82303 01952 03530 18529 68995 77362 25994 13891 24972 17752 83479 13151 55748 57242 45415 06959 50829 53311 68617 27855 88907 50983 81754 63746 49393 19255 06040 09277 01671 13900 98488 24012 85836 16035 63707 66010 47101 81942 95559 61989 46767 83744 94482 55379 77472 68471 04047 53464 62080 46684 25906 94912 93313 67702 89891 52104 75216 20569 66024 05803 81501 93511 25338 24300 35587 64024 74964 73263 91419 92726 04269 92279 67823 54781 63600 93417 21641 21992 45863 15030 28618 29745 55706 74983 85054 94588 58692 69956 90927 21079 75093 02955 32116 53449 87202 75596 02364 80665 49911 98818 34797 75356 63698 07426 54252 78625 51818 41757 46728 90977 77279 38000 81647 06001 61452 49192 17321 72147 72350 14144 19735 68548 16136 11573 52552 13347 57418 49468 43852 33239 07394 14333 45477 62416 86251 89835 69485 56209 92192 22184 27255 02542 56887 67179 04946 01653 46680 49886 27232 79178 60857 84383 82796 79766 81454 10095 38837 86360 95068 00642 25125 20511 73929 84896 08412 84886 26945 60424 19652 85022 21066 11863 06744 27862 20391 94945 04712 37137 86960 95636 43719 17287 46776 46575 73962 41389 08658 32645 99581 33904 78027 59009 94657 64078 95126 94683 98352 59570 98258 22620 52248 94077 26719 47826 84826 01476 99090 26401 36394 43745 53050 68203 49625 24517 49399 65143 14298 09190 65925 09372 21696 46151 57098 58387 41059 78859 59772 97549 89301 61753 92846 81382 68683 86894 27741 55991 85592 52459 53959 43104 99725 24680 84598 72736 44695 84865 38367 36222 62609 91246 08051 24388 43904 51244 13654 97627 80797 71569 14359 97700 12961 60894 41694 86855 58484 06353 42207 22258 28488 64815 84560 28506 01684 27394 52267 46767 88952 52138 52254 99546 66727 82398 64565 96116 35488 62305 77456 49803 55936 34568 17432 41125 15076 06947 94510 96596 09402 52288 79710 89314 56691 36867 22874 89405 60101 50330 86179 28680 92087 47609 17824 93858 90097 14909 67598 52613 65549 78189 31297 84821 68299 89487 22658 80485 75640 14270 47755 51323 79641 45152 37462 34364 54285 84447 95265 86782 10511 41354 73573 95231 13427 16610 21359 69536 23144 29524 84937 18711 01457 ………… - 17 - Easy Calculation Tricks

Vedic Mathematics Jr. U Saxena Thank You - 18 - Easy Calculation Tricks