Shortcut method to find square of a number ending with 5. Sanskrit Name: एकाधिकेन पूर्वेण English Translation of Ekadhikena Purvena: By 1 more than the previous (Increment the previous digit/s by 1). Specific Condition Required: Last digit of a number should be 5. Ekadhikena Purvena Vedic Mathematics Examples: Lets see the Tips to Square a Number using Ekadhikena Purvena in Vedic Mathematics Check if last digit is 5, if yes - square of 5 is 25 Apply Ekadhikena Purvena for rest of the number i.e. Add 1 to the previous number and multiply each other. Example in case of square of 25, Add 1 to 2 to get 3 and multiply this with 2. Steps 1 and 2 together gives final answer. Also Check, more Tricks to Square a number in Vedic Mathematics. httpv://youtu.be/S7G1uAK6c-s … [Read more...]
Dvanda Yoga – Square a number in Vedic Mathematics
Dvanda Yoga (General Method) Shortcut GENERAL method to find a square of a number. English Meaning: Duplex Combination Process of Vedic Mathematics. Stuff to be known before starting: Before starting the trick to find square of a number using DvandaYoga of Vedic Mathematics, understanding of below concept is required. Urdhva Tiryak Method. Specific Condition Required: Need to know how to calculate duplex of even and odd numbers. It is denoted by D. (See Below how to find Duplex) D(3) = 32 = 9 D(43) = 2x4x3 = 24 D(567) = 2x5x7 + 62 = 70 + 36 = 106 D(3456) = 2x3x6 + 2x4x5 = 36 + 40 = 76 D(34567) = 2x3x7 + 2x4x6 + 52 = 42 + 48 + 25 = 115 And so on Also Check, more Sutras to Square a number in Vedic Mathematics. Dvanda Yoga Vedic Mathematics Examples: Lets see Shorcut to square number using Dvanda Yoga in Vedic Mathematics: Similarly httpv://youtu.be/0yFmB8Rpwj8 … [Read more...]
Ekayunena Purvena – Shortcut method to multiply numbers using Vedic Mathematics
Ekanyunena Purvena Shorcut method of multiplication in when multiplier has all digits as 9. Sanskrit Name: एकयुनेन पुर्वेन् English Translation: By one less than the previous. Condition: Ekanyunena Purvena of Vedic Mathematics is applicable whenever the multiplier completely consists of nines. Either Multiplicand or multiplier should be entirely consisting of 9’s. But for simplicity we will call number with all 9’s as multiplier. Also Read => More Vedic Mathematics Sutras for Multiplication. Ekanyunena Purvena Sutra Multiplication has below 3 cases: I: Case 1: Digits of multiplicand and multiplier (number with 9’s) are same. Columns of answer: 1st column: 1 less of multiplicand 2nd column: complement of above column or (Multiplier – previous column). II: Case 2: Multiplier (number with 9’s) has digits less than multiplicand. Columns of answer: 1st Column: If multiplicand starts with 1, subtract 2 from it.If multiplicand starts with 2, subtract 3 from it and so on. 2nd Column: Take compliment of last digit of multiplicand. III: Case 3: Multiplier (number with 9’s) has digits more than multiplicand. Columns of answer: 1st Column: 1 less than Multiplicand 2nd column: all 9’s 3rd Column: 10’s compliment of multiplicand or (9’s complement of 1st columns). column: all 9’s … [Read more...]
Urdhva Tiryak – Multiplication using Vedic Mathematics
Urdhva Tiryakbhyam (Urdhva Tiryak) Shortcut (General) Method of multiplication in Vedic Mathematics for all types of numbers Commonly called as: Urdhva Tiryak (we will call it as UT Method). Sanskrit Name: ऊर्ध्वतिर्यभ्याम् English Translation: Vertically and Crosswise (Criss-Cross) Prerequisites There are no such Prerequisites as this method is applicable to all forms of numbers. But if numbers have larger digits then Vinculum can be used. (for simplicity) Also Read => More Vedic Mathematics Sutras for Multiplication. Shortcut to Multiply 2 digit numbers Formula : (ax+b)(cx+d) = acx2 + (ad+bc)x + bd Process: (Left --> Right) Vertical Multiplication of 1st digits of the numbers. Crosswise Multiplication Addition (i.e. Crosswise Multiplication and adding them). Vertical Multiplication of last digits of the numbers. For all steps, except 1st step, each step (compartment) needs to have ONLY 1 digits. If not then carry forward initial digits to previous compartment (Check below examples to understand). Shortcut to Multiply 3 digit numbers Formula : (ax2+bx+c)(dx2+ex+f) = adx4 + (ae+bd)x3 + (af+be+cd)x2 + (bf+ce)x + cf Process: (Left --> Right) Vertical Multiplication of 1st digits of 2 numbers. Crosswise Multiplication Addition of 1st 2 digits 2 numbers. Crosswise Multiplication Addition of all 3 digits of both the numbers. Crosswise Multiplication Addition of last 2 digits 2 numbers. Vertical Multiplication of last digits 2 numbers. For all steps, except 1st step, each compartment needs to have ONLY 1 digits. If not then carry forward initial digits to previous compartment (Check below examples to understand). Examples: Urdhva Tiryak Multiplication using Vinculum Process: Tricks to Multiply 4 digit numbers Process: (Left --> Right) Vertical Multiplication of 1st digits. Crosswise Multiplication Addition of 1st 2 digits. Crosswise … [Read more...]
Nikhilam Sutra – Shortcut To Multiply Numbers in Vedic Mathematics
Nikhilam Navatascaramam Dastah (Nikhilam Sutra) Shortcut method of multiplication using Vedic Mathematics when numbers are closer to power of 10 (10,100,1000,...) Sanskrit Name: निखिलं नवतस्चरमं दशतः English Translation: All from 9 and last from 10. Stuff you need to know before starting: Before starting with Nikhilam Sutra Multiplication, I recommend you to go through the 2.Vinculum Process. (Vinculum Process will be used in Type 3 of Nikhilam Tecnique) Specific Condition Required: Numbers need to be close* to power of 10 (10, 100, 1000, etc). Also Read => More Vedic Mathematics Sutras for Multiplication. Process: Depending upon the numbers closer to power of 10, we select that power of 10 as our Base. Apply the principle of Nikhilam i.e. subtract the digits from Base - All the digits from 9 and last from 10. (write besides those numbers) (See below example 94 * 96). Those numbers if positive will be called as exceses and if negative will be called as deficiencies. Multiply those deficiencies or excesses. (write in 2nd compartment). Do Cross Addition of Numbers with deficiencies or excesses. (write in 1st Compartment) 2nd compartment ALWAYS needs to have same number of digits as that of zeroes of the selected Base. If less then pre-append zeroes. If more, carry forward initial digits to 1st compartment Below Examples will clear the process. Nikhilam Sutra can be classified in 3 groups as follows: Nikhilam Type 1: This type of Nikhilam Sutra can be applied when numbers slightly* less than power of 10 (10, 100, 1000, etc.). Formula used: (x-a)(x-b) = x(x-a-b) + ab Nikhilam Type 2: Numbers slightly* greater than power of 10 (10, 100, 1000, etc.). Formula used:(x+a)(x+b) = x(x+a+b) + ab Nikhilam Type 3: Numbers closer to* & present on either side of power of 10 (10, 100, 1000, etc.). This type of Nikhilam will require understanding of 2.Vinculum Process. Formulas used: (x+a)(x-b) = … [Read more...]