Multiplying With 19


Multiplying A Number with 17 to 19 - Concepts
Class - 8th Foundation NTSE Subjects
 
 
Concept Explanation
 

Multiplying With 19

Multiplying A Number With 19

Using this method we can multiply any number with 19 in a very easy way. Such type of Techniques of Vedic Maths help us to perform calculations in a much faster way. Mastering such type of techniques is very essential in Competitive Exams where time is very precious

For example let us multiply 4325 and 19

Method

We will prefix a 0 before the number. The number becomes 04325. We will multiply the digit at unit place with 9. The unit place of the resultant number will be the unit place in the answer and the remaining will be the carry. Then we will multiply the next number with 9 and add the previous number. The unit place of the resultant number will be prefixed in the answer and remaining will be the carry. The same process is repeated for the next number.

We will Multiply the digit at unit place that is 5 with 9

 Resultant Number = 5 X 9 = 45

The unit place of the resultant number will be prefixed in the answer and remaining will be the carry

Answer = 5

Carry = 4

We will Multiply the digit at tens place that is 2 with 9 and add the number at units place. Then add the carry if any

Resultant Number = 2 X 9 + 5 + 4 = 23 + 4  = 27

The unit place of the resultant number will be prefixed in the answer and remaining will be the carry

Answer = 75

Carry = 2

We will Multiply the digit at hundreds place that is 3 with 9 and add the number at tens place. Then add the carry if any

Resultant Number = 3 X 9 + 2 + 2 = 29 + 2 = 31

The unit place of the resultant number will be prefixed in the answer and remaining will be the carry

Answer = 175

Carry = 3

We will Multiply the digit at Thousands place that is 4 with 9 and add the number at hundreds place. Then add the carry if any

Resultant Number = 4 X 9 + 3 + 3 = 39 + 3 = 42

The unit place of the resultant number will be prefixed in the answer and remaining will be the carry

Answer = 2175

Carry = 4

We will Multiply the digit at Ten Thousands place that is 0 with 9 and add the number at thousands place. Then add the carry if any

Resultant Number = 0 X 9 + 4 + 4 = 4 + 4 = 8

The resultant number will be prefixed in the answer

Answer = 82175

 

 
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