Introduction to Vedic Maths

www.vedmath.comJuly 2010Page 1Shriram SubramanianCofounderVedMath–home of Vedic Mathsshriram@vedmath.comIntroduction to Vedic Mathswww.vedmath.comPage 2ContentsBackground•What is Vedic Maths?•Why should we learn it?•Applications of Vedic MathsIllustrative Examples•Subtraction using Complements•Multiplication by 11www.vedmath.com“Vedic” in Sanskrit means Fountain of Knowledge“Vedas” are a repository of Knowledge“Vedic Maths” has references in AtharvanaVedaIt contains 16 mathematical formulae called “Sutras”, and 11 sub sutras, all based on patterns in numbersThe Sutras can be applied across various branches of mathematics: Arithmetic, Algebra, Geometry, etc.Page 3What is Vedic Maths?www.vedmath.comNumbers have large role in our day-to-day lifeCalculations are part of our daily activitiesVedic Mathsmakes calculations simple and funIt improves our concentration, memory and self-confidenceWe become more Self Dependent, rather than rely on machinesPage 4Why should we learn?www.vedmath.comAtharvaVeda has reference to all mathematical calculationsIt was discovered by Shankaracharyaof DwarakapeethHe put all calculations into 16 SutrasPage 5Vedic Maths Rediscoveredwww.vedmath.comComputer Algorithms–Faster, elegant solutionsCompetitive ExamsDaily Life–Faster verificationsPage 6Applicationswww.vedmath.comPage 7ContentsBackground•What is Vedic Maths?•Why should we learn it?•Applications of Vedic MathsIllustrative Examples•Subtraction using Complements•Multiplication by 11www.vedmath.comPage 8Vedic Formula“All from 9, Last from 10”www.vedmath.comPage 9ComplementsTo find Complement of any number, apply the Vedic Formula“All from 9, Last from 10”www.vedmath.comPage 10ComplementsFind Complement of 783Step 1:The next unit base is 1000Step 2:Use Vedic formula “All from 9, last from 10”7989310217Step 3:Arrive at the Complement of783as 217Subtract 7,8 from 9Subtract 3 from 10www.vedmath.comPage 11Lesson 1: Complements“If number ends in 0, then leave out 0 and apply the Vedic formula”Example:Find the complement of 840As the Number ends in 0, Use Vedic formula “All from 9, last from 10”, from the next digit i.e. 4 894010160Arrive at the Complement of840as 160Subtract 4 from 10Subtract 8 from 9www.vedmath.comPage 12Lesson 1: ComplementsExerciseFind the complement of :1.3474802.45923.589454.1680395.879006.7845214543www.vedmath.comPage 13Lesson 1: ComplementsSubtraction7234 –3798: Normal method377923433486121116www.vedmath.comPage 14Lesson 1: ComplementsSubtraction Using Complements7234 –3798: Vedic method377923433486620211.Findcomplementof37982.Addthiscomplementtothenumerator72343.Reduce 1 from the extreme leftwww.vedmath.comE previous Page 15Lesson 1: ComplementsSubtraction Using ComplementsVedic method has advantage of doing by Adding37792343348662021Findcomplementof3798AddthecomplementTake off the 1 on extreme leftComplex Subtractions are done easilyThere is no need to Borrow from the next number, remember to reduce the previous numberThus, silly mistakes are reducedwww.vedmath.comPage 16ContentsBackground•What is Vedic Maths?•Why should we learn it?•Applications of Vedic MathsIllustrative Examples•Subtraction using Complements•Multiplication by 11www.vedmath.comPage 17Step 1:Puta 0 at the beginning and at the end of the numberStep 2:Starting from the digit’s place add two consecutive digit. Remember to go from right to left.78311xLesson 2: Multiplication by 11www.vedmath.comPage 18Step 1:Puta 0 at the beginning and at the end of the numberStep 2:Starting from the digit’s place add two consecutive digit. Remember to go from right to left.78311x007151133168Lesson 2: Multiplication by 11Final Answer!www.vedmath.comPage 19Lesson 2: Multiplication by 11ExerciseMultiply the following by 11:1.3474802.45923.589454.1680395.879006.7845214543www.vedmath.comFractionsDecimalsProportionsSimultaneous EquationsBasic AlgebraBasic GeometryBasic TrigonometryPage 20Other Vast Areaswww.vedmath.comQuestions from competitive exams like GRE, GMAT, CAT etc.1.If length and breadth of a square is increased and reduced by 5% respectively, what is the percentage increase or decrease in the area?2.If all the digits in numbers 1 to 24 are written down, would the number so formed be divisible by 9?3.Which is the greatest 6-digit number which is a perfect square?4.Which of the following number is divisible by 99? 135792, 114345, 3572404, 9134645.Packets of chalks are kept in a box in the form of a cube. If the total number of packets is 2197, find the number of rows of packets in each layer.6.The difference on increasing a number by 8% and decreasing it by 3% is 407. What is the original number?7.The population in a village increases at the rate of 5% every year. If the population in a given year is 80000, what is the population after 3 years?8.If the surface area of the side of a cube is 225 sq.cm. what is the volume of the cube?Page 21Applicationswww.vedmath.comJuly 2010Page 22Shriram SubramanianCofounderVedMath–home of Vedic Mathsshriram@vedmath.comThanksMore Lessons Soon