[ebook] math - vedic maths tutorial

8/16/2019 [eBook] Math - Vedic Maths Tutorial

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Vedic Maths Tutorial

Vedic Maths is based on sixteen sutras or principles. These principles are general innature and can be applied in many ways. In practice many applications of the sutras may

be learned and combined to solve actual problems. These tutorials will give examples ofsimple applications of the sutras, to give a feel for how the Vedic Maths system works.

These tutorials do not attempt to teach the systematic use of the sutras. For moreadvanced applications and a more complete coverage of the basic uses of the sutras, we

recommend you study one of the texts available.

.!. The following tutorials are based on examples and exercises given in the book "Funwith figures" by #enneth $illiams, which is a fun introduction some of the applications

of the sutras for children.

If you are having problems using the tutorials then you could always read the

instructions.

Tutorial %Tutorial &

Tutorial '

Tutorial (Tutorial )

Tutorial *

Tutorial +

Tutorial 1

se the formula - F/0M 1 -2 T34 -5T F/0M %6 to perform instant

subtractions.

• For example 1000 - 357 = 643

$e simply take each figure in ')+ from 1 and the last figure from %6.

5o the answer is 1000 - 357 = 643

-nd thats all there is to it7

http://www.vedicmaths.org/Group%20Files/sutras/sutras.asphttp://www.vedicmaths.org/Files/Books.asphttp://www.vedicmaths.org/Files/Books.asphttp://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#instructionshttp://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial1http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial2http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial3http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial4http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial5http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial6http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial7http://www.vedicmaths.org/Group%20Files/sutras/sutras.asphttp://www.vedicmaths.org/Files/Books.asphttp://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#instructionshttp://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial1http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial2http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial3http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial4http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial5http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial6http://www.vedicmaths.org/Group%20Files/tutorial/tutorial.asp#tutorial7


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This always works for subtractions from numbers consisting of a % followed by

noughts8 %669 %6669 %6,666 etc.

• 5imilarly 10000 - 104! = "!51

• For %666 : ;', in which we have more


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; is & below %6 and + is ' below %6.

Think of it like this8

The answer is )*.

The diagram below shows how you get it.

?ou subtract crosswise ;:' or + : & to get ),the first figure of the answer.

-nd you multiply vertically8 & x ' to get *,

the last figure of the answer.

That's all you do:

5ee how far the numbers are below %6, subtract onenumber"s deficiency from the other number, and

multiply the deficiencies together.

• 7 % 6 = 4$

3ere there is a carry8 the % in the %& goes over to make ' into (.

Multply These:

1# ;

; x

$# 1

+ x

3# ;

1 x

4# +

+ x

5# 1

1 x

6# *

* x

Total >orrect =Reset Test

3ere"s how to use V4/TI>-? -2 >/055$I54 for multiplying numbers close to%66.

• 5uppose you want to multiply "" &y !".

ot easy,you might think. !ut with

V4/TI>-? -2 >/055$I54 you can give


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Try a few:

1# %6& x %6+ =

1# %6* x %6' =

1# %6( x %6( =

4# %61 x %6; =

5# %6% x%&' =

6# %6' x%6& =


/eturn to Index

Tutorial 3

The easy way to add and subtract fractions.

se V4/TI>-? -2 >/055$I54 to write the answer straight down7

•

Multiply crosswise and add to get the top of the answer8

& x ) = %6 and % x ' = '. Then %6 D ' = %'.The bottom of the fraction is Cust ' x ) = %).

?ou multiply the bottom number together.

5o8

•

5ubtracting is Cust as easy8 multiply crosswise as before, but the subtract8

http://www.vedicmaths.org/Group%20Files/tutorial/Tutorial.asphttp://www.vedicmaths.org/Group%20Files/tutorial/Tutorial.asp


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•

Try a few:


/eturn to Index

Tutorial 4

- Euick way to sEuare numbers that end in ) using the formula !? 04 M0/4 T3-

T34 04 !4F0/4.

• 75$ = 56$5

+)& means +) x +).The answer is in two parts8 )* and &).

The last part is always $5.The first part is the first number, +, multiplied by the number one more, whichis ;8

so + x ; = 56



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• 5imilarly "5$ = 7$$5 because ; x 1 = +&.

Try these:

1# ()& =

$# *)& =

3# 1)& =

4# ')& =

5# %)& =


Method for multiplying numbers where the first figures are the same and the last figures

add up to %6.

• 3$ % 3" = 1$16

!oth numbers here start with ' and the last

figures A& and ;B add up to %6.

5o we Cust multiply ' by ( Athe next number upBto get 1$ for the first part of the answer.

-nd we multiply the last figures8 & x ; = 16 to

get the last part of the answer.

2iagrammatically8

• -nd "1 % "! = 7$0!

$e put 61 since we need two figures as in all the other examples.

Practise some:

1# (' x (+ =

$# &( x &* =


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3# *& x *; =

4# %+ x %' =

5# )1 x )% =

6# ++ x +' =


/eturn to Index

Tutorial 5

-n elegant way of multiplying numbers using a simple pattern.

• $1 % $3 = 4"3

This is normally called long multiplication butactually the answer can be written straight down

using the V4/TI>-? -2 >/055$I54

formula.

$e first put, or imagine, &' below &%8

There are ' steps8

aB Multiply 'ertically on the left8 & x & = 4.

This gives the first figure of the answer. bB Multiply cross(ise and add8 & x ' D % x & = " This gives the middle figure.

cB Multiply 'ertically on the ri)ht8 % x ' = 3 This gives the last figure of the answer.

And thats all there is to it.

• 5imilarly 61 % 31 = 1"!1



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• * x ' = 1"9 * x % D % x ' = !9 % x % = 1

Try these, just write down the answer:

1# %(

&% x

$# &&

'% x

3# &%

'% x

4# &%

&& x

5# '&

&% x


Multiply any &:figure numbers together by mere mental arithmetic7

If you want &% stamps at &* pence each you caneasily find the total price in your head.

There were no carries in the method given above.

3owever, there only involve one small extra step.

• $1 % $6 = 546

The method is the same as above

except that we get a &:figure number, %(, in themiddle step, so the % is carried over to the left

A( becomes )B.

5o &% stamps cost G).(*.

Hractise a few8

1# &%

(+ x

$# &'

(' x

3# '&

)' x

4# (&

'& x

5# +%

+& x



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• 33 % 44 = 145$

There may be more than one carry in a sum8

Vertically on the left we get %&.

>rosswise gives us &(, so we carry & to the left

and mentally get %((.

Then vertically on the right we get %& and the %

here is carried over to the %(( to make %()&.

6# '& )* x

7# '& )( x

"# '% +& x

!# (( )' x

10# )( *( x


-ny two numbers, no matter how big, can bemultiplied in one line by this method.

/eturn to Index

Tutorial 6

Multiplying a number by %%.

To multiply any &:figure number by %% we Cust put

the total of the two figures between the & figures.

•

$6 % 11 = $"6

otice that the outer figures in &;* are the &*

being multiplied.

-nd the middle figure is Cust & and * added up.

• *o 7$ % 11 = 7!$



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Multiply by %%8

1# (' =

$# ;% =

3# %) =

4# (( =

5# %% =


• 77 % 11 = "47

This involves a carry figure because + D + = %(

we get ++ x %% = +%(+ = ;(+.

Multiply by %%8

1# ;; =

$# ;( =

3# (; =

4# +' =

5# )* =

Total >orrect = Reset Test

• $34 % 11 = $574

$e put the & and the ( at the ends.

$e add the first pair & D ' = ).and we add the last pair8 ' D ( = +.

Multiply by %%8

1# %)% =

$# )&+ =

3# ''' =

4# +%( =

5# 161 =



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/eturn to Index

Tutorial 7Method for diving by 1.

• $3 + ! = $ remainder 5

The first figure of &' is &, and this is the answer.

The remainder is Cust & and ' added up7

• 43 + ! = 4 remainder 7

The first figure ( is the answer and ( D ' = + is the remainder : could it be easier

2ivide by 18

1# *% = remainder

$# '' = remainder

3# (( = remainder

4# )' = remainder

5# ;6 = remainder


• 134 + ! = 14 remainder "

The answer consists of 14 and ".

1 is Cust the first figure of %'(.

4 is the total of the first two figures %D ' = (,and " is the total of all three figures %D ' D ( = ;.

2ivide by 18

6# &'& = remainder

7# %)% = remainder

"# '6' = remainder

!# &%& = remainder



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10# &%&% = remainder


• "4$ + ! = "1$ remainder 14 = !$ remainder 14

-ctually a remainder of 1 or more is not usually permitted because we are trying to find howmany 1"s there are in ;(&.

5ince the remainder, %( has one more 1 with )

left over the final answer will be !3 remainder 5

2ivide these by 18

1# ++% = remainder

$# 1(& = remainder

3# )*) = remainder

4# ))) = remainder

5# +++ = remainder

6# &';& = remainder

7# +6+6 = remainder


/eturn to Index

Instructionsfor using the tutorials

4ach tutorial has test sections comprising of several Euestions each. ext to each

Euestion is a box AfieldB into which you can enter the answer to the Euestion. 5elect the

first Euestion in each test with the mouse to start a test. 4nter the answer for the Euestionusing the numeric keys on the keyboard. To move to the answer field of the next Euestion

in the test, press the ,T, key. Moving to the next Euestion, will cause the answer youentered to be checked, the following will be displayed depending on how you answered

the Euestion 8:



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>orrect

$rong-nswer has more than one part Asuch as fractions and those answers with

remaindersB. -nswering remaining parts of the Euestion, will determine whether youanswered the Euestion correctly or not.

5ome browsers will update the answer on ,/T/2, being pressed, others do not. -ny problems stick to the "T-!" key. Hressing ,*T T, will move the cursor back to the

answer field for the previous Euestion.

The button will clear all answers from the test and set the count of correct answers backto

[ebook] math - vedic maths tutorial

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