vedic math
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:
Formula used: (x-a)(x-b) = x(x-a-b) + ab
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:
Formula used: (x-a)(x-b) = x(x-a-b) + ab