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निखिलं िवताश्चरामं दशात्
V e d i c M a t h e m a t i c s
നിഖിലം നവതശ്ചരമം ദശാത്
All from nine and the last form ten
appat2@gmail.com
Numerical Expressions
I n t e r p r e t i n g
appat2@gmail.co
Learning Target:
Using the mental calculation
mehtods I will be able to write
and match simple numerical
expressions.
appat2@gmail.co
Vocab:
Expression- a mathematical statement
involving only numbers and one or
more operation symbols, finding the
answer in its easiest m,ental
caluculation methods
appat2@gmail.co
Process:
Break apart the problem to
determine which operation
symbol is needed and pull out
data for the expression.
9 x 7 =?
appat2@gmail.co
9 x 7 =?
appat2@gmail.co
Similar problems
appat2@gmail.co
(x-a)(x-b)= x(x-a-b)+ab
A slight differemce in the process to
solve the following problem
7 x 6 = ?
7 x 6 = ?
Similar problems
Similar problems
Filling up vaccancies
97 x 97
97—3
97---3
9403
With these three procedures for meeting the
three possible contingencies in question, i.e. of
'normal', 'sub-normal' and abnormal number of
digits in the vertical multiplication-products and
with the aid of subtraction rule, i.e. of all the
digits from 9 and the last form 10 for writing
down the amount of the deficiency from the base,
we can extend this multiplication rule to numbers
consisting of larger number of digits, thus:
With these three procedures for meeting the
three possible contingencies in question, i.e. of
'normal', 'sub-normal' and abnormal number of
digits in the vertical multiplication-products and
with the aid of subtraction rule, i.e. of all the
digits from 9 and the last form 10 for writing
down the amount of the deficiency from the base,
we can extend this multiplication rule to numbers
consisting of larger number of digits, thus:
In all these cases, the multiplicand and the
multiplier are just a little below a certain
power of either 10,. What about the powers
whicha re above it?
And the answer is that the same procedure
will hold good there too, except that, instead
of cross-subtracting , we shall have to cross-
add; and all the other rules regarding digit-
surplus, digit-deficit etc. will remain the same.
appat2@gmail.co
Thus:
appat2@gmail.co
The algebraic principle involved may be
expressed as:
(x+a)(x+b)= x(x+a+b)+ab
appat2@gmail.co
Yes, but if one of the numbers is above the
power of 10 and other is below?
The answer is that the plus and the minus
will, on multiplication, behave as they
always do and produce a minus-product
and that the right hand portion obtained by
vertical multiplication will therefore have to
be subtracted.
A vinculum may be used to
make this clear. Thus:
appat2@gmail.co
Thus:
appat2@gmail.co
अिुरुप्येण
V e d i c M a t h e m a t i c s
അനുരൂപ്യേണ
'Anurupyena',
means proportionately, a rational ratio-wise relationship
appat2@gmail.co
Sub-sutra of NIKHILAM
NAVAQTASHCHARAMAM DASHATH.
appat2@gmail.co
In all these cases either the multiplicant or
the multiplier or both are very near to the
base taken in each case.
This gives a small multiplier and renders the
process very easy.
What about the multiplication of two
numbers neither of which is near a
convenient base
appat2@gmail.co
appat2@gmail.co
Ten as the
theoretical base
and 50 as its
multiple
appat2@gmail.co
Ten and 40 as
the base
appat2@gmail.co
Decide the methode as the
situation warrants.
appat2@gmail.co
िमस्ते ।।

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Vedic Mathematics 2

  • 1. निखिलं िवताश्चरामं दशात् V e d i c M a t h e m a t i c s നിഖിലം നവതശ്ചരമം ദശാത് All from nine and the last form ten appat2@gmail.com
  • 2. Numerical Expressions I n t e r p r e t i n g appat2@gmail.co
  • 3. Learning Target: Using the mental calculation mehtods I will be able to write and match simple numerical expressions. appat2@gmail.co
  • 4. Vocab: Expression- a mathematical statement involving only numbers and one or more operation symbols, finding the answer in its easiest m,ental caluculation methods appat2@gmail.co
  • 5. Process: Break apart the problem to determine which operation symbol is needed and pull out data for the expression. 9 x 7 =? appat2@gmail.co
  • 6. 9 x 7 =? appat2@gmail.co
  • 9. A slight differemce in the process to solve the following problem 7 x 6 = ?
  • 10. 7 x 6 = ?
  • 13. Filling up vaccancies 97 x 97 97—3 97---3 9403
  • 14. With these three procedures for meeting the three possible contingencies in question, i.e. of 'normal', 'sub-normal' and abnormal number of digits in the vertical multiplication-products and with the aid of subtraction rule, i.e. of all the digits from 9 and the last form 10 for writing down the amount of the deficiency from the base, we can extend this multiplication rule to numbers consisting of larger number of digits, thus:
  • 15. With these three procedures for meeting the three possible contingencies in question, i.e. of 'normal', 'sub-normal' and abnormal number of digits in the vertical multiplication-products and with the aid of subtraction rule, i.e. of all the digits from 9 and the last form 10 for writing down the amount of the deficiency from the base, we can extend this multiplication rule to numbers consisting of larger number of digits, thus:
  • 16. In all these cases, the multiplicand and the multiplier are just a little below a certain power of either 10,. What about the powers whicha re above it? And the answer is that the same procedure will hold good there too, except that, instead of cross-subtracting , we shall have to cross- add; and all the other rules regarding digit- surplus, digit-deficit etc. will remain the same. appat2@gmail.co
  • 18. The algebraic principle involved may be expressed as: (x+a)(x+b)= x(x+a+b)+ab appat2@gmail.co
  • 19. Yes, but if one of the numbers is above the power of 10 and other is below? The answer is that the plus and the minus will, on multiplication, behave as they always do and produce a minus-product and that the right hand portion obtained by vertical multiplication will therefore have to be subtracted. A vinculum may be used to make this clear. Thus: appat2@gmail.co
  • 21. अिुरुप्येण V e d i c M a t h e m a t i c s അനുരൂപ്യേണ 'Anurupyena', means proportionately, a rational ratio-wise relationship appat2@gmail.co
  • 22. Sub-sutra of NIKHILAM NAVAQTASHCHARAMAM DASHATH. appat2@gmail.co
  • 23. In all these cases either the multiplicant or the multiplier or both are very near to the base taken in each case. This gives a small multiplier and renders the process very easy. What about the multiplication of two numbers neither of which is near a convenient base appat2@gmail.co
  • 24. appat2@gmail.co Ten as the theoretical base and 50 as its multiple
  • 26. appat2@gmail.co Decide the methode as the situation warrants.