Multiplication - The Vedic Mathematics Way
I. Introduction
This chapter will introduce you to some quick method for multiplying two digit numbers followed by a timed practice for the same. These are faster than conventional methods, and can improve your ability to handle numbers better.
II. Method
Let us take a look at the method followed by a few examples. The steps are fairly simple to understand but may take some time to practice and develop speed.
- Imagine the two given numbers one below the other.
- Multiply the units digits of the two numbers. The result of this step will either be a two digit number or a single digit number. The product of two digits can be maximum $9 \times 9 = 81$
- If the number in the previous step is a single digit number, write it as a two digit number by adding a $0$ to the left of the number, else if it is already a two digit number, take it as it is. Let us call this number $r1$.
- Multiply the ten's digits of the two numbers to get the number $r2$
- Write $r2$ to the left of $r1$ which gives you, let's say, $r3$.
- Multiply the unit's digit of the first number with the ten's digit of the second number, and the unit's digit of the second number with the ten's digit of the first number. Add the two results to get the number $r4$.
- Add a $0$ to the right of $r4$ to give you $r5$
- Add $r5$ to $r3$ to get the final answer.
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III. Examples
Now we are ready for a couple of examples.
$\underline{Example\ 1:}$
Let us look at how to use the described method to multiply $26 \times 43$
Multiplying the two units digits we get $6 \times 3 = 18$. This is a two digit number, so we leave it as it is.
Multiplying the two ten's digits we get $2 \times 4 = 8$.
We write $8$ in front of $18$ to give us $818$
Now, we cross multiply the unit's digit with the ten's digit for both the numbers and add, which gives us:
$2 \times 3 + 4 \times 6 = 30$
Add a zero to the end of this number to get $300$
Add $300$ to the previous number $818$ which gives us the final answer $1118$.
$\underline{Example\ 2:}$
Let us look at one more example of this method by multiplying $32 \times 84$
The product of the two unit's digits give us $2 \times 4 = 8$. This is a single digit number, we write a $0$ to the left of this number $8$ to get $08$.
The product of the two ten's digits give us $3 \times 8 = 24$.
Write $24$ in front of $08$ to give $2408$
Cross multiply the each unit's digit to the ten's digit of the other number.
This gives us $3 \times 4 + 2 \times 8 = 28$
Add a $0$ to the right of this number which gives us $280$
Add this number to the previous sum $2408$ to give us $2408 + 280 = 2688$ as the final answer.
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III. Timed Practice
Use the following widget to do a timed practice to improve your speed with verbal multiplication using Vedic Math technique.
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