Vedic Mathematics is worthy of learning. It makes your mind strong and intellectual prowess better. It improves your problem solving skills. It betters your confidence. Arithmeditationh is a strong tool it provides. It betters your computational skills.

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
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2. Numerical Expressions
I n t e r p r e t i n g
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3. Learning Target:
Using the mental calculation
mehtods I will be able to write
and match simple numerical
expressions.
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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
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5. Process:
Break apart the problem to
determine which operation
symbol is needed and pull out
data for the expression.
9 x 7 =?
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6. 9 x 7 =?
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7. Similar problems
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8. (x-a)(x-b)= x(x-a-b)+ab

9. A slight differemce in the process to
solve the following problem
7 x 6 = ?

10. 7 x 6 = ?

11. Similar problems

12. Similar problems

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.
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17. Thus:
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18. The algebraic principle involved may be
expressed as:
(x+a)(x+b)= x(x+a+b)+ab
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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:
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20. Thus:
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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
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22. Sub-sutra of NIKHILAM
NAVAQTASHCHARAMAM DASHATH.
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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
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Ten as the
theoretical base
and 50 as its
multiple

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Ten and 40 as
the base

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Decide the methode as the
situation warrants.

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िमस्ते ।।