Showing posts with label Math Tricks. Show all posts
Showing posts with label Math Tricks. Show all posts

Tuesday, 11 January 2022

How to calculate 4216 x 11 in mind within 6 seconds


Mathematical Sūtras (Vedic Maths)

I teach these mathematics Vedic sutras at tuition.
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Contact: nagashwinicomputers@gmail.com

Mathematical Sūtras (Vedic Maths)


1


Ekadhikina Purvena


एकाधिकेन पूर्वेण


By one more than the previous one


2


Nikhilam Navatashcaramam Dashatah


निखिलं नवतश्चरमं दशत:


All from 9 and the last from 10


3


Urdhva-Tiryagbyham


ऊर्ध्वतिर्यग्भ्यां


Vertically and crosswise


4


Paraavartya Yojayet


परावर्त्य योजयेत्


Transpose and adjust


5


Shunyam Saamyasamuccaye


शून्यं साम्यसमुच्चये


When the sum is the same that sum 

is zero


6


(Anurupye) Shunyamanyat


आनुरूप्ये शून्यमन्यत्


If one is in ratio, the other is zero


7


Sankalana-vyavakalanabhyam


संकलन व्यवकलनाभ्यां


By addition and by subtraction

8


Puranapuranabyham


पूरणापूरणाभ्यां


By the completion or non-completion

9



Chalana-Kalanabyham


चलन कलनाभ्यां



Differences and Similarities


10


Yaavadunam


यावदूनम्


Whatever the extent of its deficiency


11


Vyashtisamanstih


व्यष्टिसमष्टिः


Part and Whole


12


Shesanyankena Charamena


शेषाण्यंकेन चरमेण


The remainders by the last digit


13


Sopaantyadvayamantyam


सोपान्त्यद्वयमन्त्यं


The ultimate and twice the 

penultimate


14


Ekanyunena Purvena


एकन्यूनेन पूर्वेण


By one less than the previous one


15


Gunitasamuchyah


गुणितसमुच्चय:


The product of the sum is equal to 

the 

sum of 


the product


16


Gunakasamuchyah


गुणकसमुच्चय:



The factors of the sum are equal to 

the 

sum of 

the factors


Tricks In Vedic Maths (Mental Calculation)


1


Multiplication



2


Addition



3


Subtraction



4


Division



5


Square of a Number



6


Cubing a number



7


Square root



8


Cube root



9


Fractions and Decimals





Upasutra


1


Ānurūpyeṇa


आनुरूप्येण


Proportionately


2


Śiṣyate śeṣasṃjñaḥ


शिष्यते शेषसंञः


The remainder remains constant


3


Ādyamādyenāntyamantyena


आधमाधेनान्त्यमन्त्येन


First by the first, and last by the last


4


Kevalaiḥ saptakaṃ guṇyāt


केवलैः सप्तकं गुणयात्


For 7, the multiplicand is 143


5


Veṣṭanaṃ

वेष्टनम्


By osculation


6


Yāvadūnaṃ tāvadūnaṃ


यावदूनं तावदुनं



Lessen by the deficiency


7


yāvadūnam tāvadūnīkṛtya 

vargañca yojayet


यावदूनं तावदूनीकृत्य वर्गं च योजयेत्


Lessen by the deficiency, and set up 

square of the 

deficiency


8


Antyayordaśake'pi


अन्त्ययोर्दशकेऽपि


Last totaling 10



9


Antyayoreva


अन्त्ययोरेव


Only the last terms


10


Samuccayaguṇitaḥ


समुच्चयगुणितः


The sum of the products


11


Lopanasthāpanābhyāṃ


लोपनस्थापनाभ्यां


By alternate elimination and retention


12


Vilokanaṃ


विलोकनं


By mere observation


13


Guṇitasmuccayaḥ 

samuccayaguṇitaḥ


गुणितसमुच्चयः समुच्चयगुणितः


The product of the sum, is the sum of the 

products



14


Dhvajāṅka


ध्वजांक


On the flag


15


Śūddha


शुद्ध


Purification


16


Dvaṅdvayoga


द्वन्द्वयोग


Sum of pairs