Vedic Mathematics by Pradeep Kumar (2002).pdf

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PREFACE
Vedic Mathematics
02002, Sterling Publishers Private Limited
ISBN 81 7963019 6
Reprint2003,2004,2005
All you wanted to know about 'Vedic Mathematics' is a
manifestation and a coagulation of genuine illustrations and
methods of fast calculations. This magical tool is unique in its
field and will serve two purposes:
It will help enhance the calculating speed of students;
and
All rights are reserved. No part of this publication
may
be reproduced,
stored in a retrieval system or transmitted, in any
fomi or by any means, mechanical, photocopying, recording or
otherwise, without prior written permission of the publisher.
Will be beneficial in preparations for the MBAICAT
entrance examinations.
How
to use
this book
First of all learn all the multiplication methods and
techniques explained in this book in the section or,
multiplication. Do the exercises provided at the end of every
topic so that the techniques can be understood completely.
Then understand Squaring and Cubing techniques.
After this, whenever you come across a multiplication sum,
try to solve that by the formulae and techniques explained in
this book. A mere reading of the book from one end to the
other will not help in the long run. If you wish to benefit fully,
make it a habit to use these methods.
Once you have mastered Multiplication techniques, then you
can proceed to the chapters on Division, Square Roots and
Cube Roots.
Nora
FROM
THE
PUBLISHER
The author spec~fically
disclainrs any liability, loss or risk whatsoevel;
which is incurred or likely to be incurred as a consequence
of any direct
indirect use of information given in this book.
The contents of this work ore a personal interpretation of the subject
by
the author
Published by
Sterling Publishers Pvt. Ltd., New Delhi-110020.
Lo.so.Iyp~.sel
Vikas (:ornpograph~cs.New
Delhl-
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10020.
by
I'rmre~/ar
Stcrhng Publ~shcrs
Ltd.,
New Dclhi-I
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(P)
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Caution
Do not proceed to the chapter on Square Roots without
'understanding the chapter on Division completely. They are
linked. Understanding the process of square roots without
understanding division will be a futile exercise.
After understanding the process of division, and that of
square roots and cube roots, make it a habit to use these
methods. Simultaneous equations can be learned any time.
.
CONTENTS
Preface
Multiplication
1.
First Formula
Multiplying two-digit numbers by
two-digit numbers
Multiplying three-digit numbers by
three-digit numbers
Applications
2.
Quick Formula
Multiplication of digits near 100
Multiplication of digits near 50
Multiplication of digits near 200
Multiplication of digits near 150
The Importance of bases in
Quick Formula
3
Criss-Cross Technique
Multiplying two-digit numbers by
two-digit numbers
Multiplying three-digit numbers by
two-digit numbers
Multiplying four-digit numbers by
two-digit numbers
Multiplying five-digit numbers by
two-digit numbers
Multiplying three-digit numbers by
three-digit numbers
Multiplying four-digit numbers by
three-digit numbers
4
Division of a number by a four-digit
number
Decimal division
Squares
Squares of a number ending with
5
Finding squares of an adjacent number
Forward method
Reverse method
Mental formula for finding squares
Cubes
Square Roots
Square root of a perfect square
Finding the square root in decimals
Cube Roots
Simultaneous Equations
Peculiar Types-Type
I,
Type II
A Word to all Maths Enthusiasts
The 'Achiever' Institute
Mental Multiplication Techniques
Multiplying two-digit numbers by
two-digit numbers
Multiplying three-digit numbers by
two-digit numbers
Multiplying four-digit numbers by
two-digit numbers
Multiplying five-digit numbers by
two-digit numbers
Multiplying three-digit numbers by
three-digit numbers
Division
1.
Real Magic
Denominator ending with
9
Denominator ending with
8
Denominator ending with other digits
Numerator having more than one digit
after the decimal
2.
Criss-CrossTechnique
Division format
Division of a number by a smaller
three-digit number (Flag digit
=
1)
Division of a number by a larger
three-digit number (Flag digit
=
2)
MULTIPLICATION
Multiplication is supposed to be the toughest of all four
mathematical operations. Students feel threatened by
multiplication.
In this book,
I
have dealt with this topic in detail.
To make this topic easily graspable,
I
have divided it into
several parts. Each part is full of examples, and steps are
explained clearly wherever required. If this helps students,
I
will feel rewarded.
.
to my grandfather,
Dedicated
Late
Hazari Prasad Singh,
1. First Formula
I have called this'first Formula' because in my opinion a
person willing to learn 'magical methods of fast
calculations' should start from here. The formula will be
explained with various examples.
Multiplying two-digit numbers by two-digit numbers
Let us start with an example:
who always encouraged me to excel

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