Introduction

A few steps of addition follow the Egyptian multiplication technique. At present, if we want to do multiplication,  we need to do some little repetitions inside that, and then we need to make additions. But in this technique,  the Egyptians just followed some steps of acquisitions. It is so easy that you will think,  " why didn't our teachers teach us this incredible method? "

Process

let's take two numbers to multiply. It is not necessary that you have to make certain numbers. You can take two random numbers as per your wish. Let's take two random numbers then. Suppose 26 and 31. 

 

1. 26 × 31. you need to write the number 1 below the first number. In this method, whatever the number is, whatever you are multiplicating, you have to write one below the first number always.

Such as 26₁ × 31.

2. you have written 1,  then add the same number with it. So it will be (1+1) = 2.  now write this after one or below 1.

such as 26_1,2 × 31 

3. Now follow this process. you have to continue this process below the first number until the summation becomes greater than the first number. 

such as : 26_{1, 2(1+1), 4(2+2), 8 (4+4), 16 (8+8)} × 31

you have to stop at 16 in this case. Because the following summation is 32. but you can see 32 is greater than the first number, 26. so 32 cant be written. You have to remember this in other multiplications if you follow this technique.

4. we have found five steps below the first number 26. I am counting 1,2, 4, 8,16 as five steps here. Now the part below the first number has finished. Now we have to focus on the second number 31.

5. we need to write the exact second number, below the second number.

such as :  26_1,2,4,8,16 × 31₃₁

6. remember the process that we followed? Add the same numbers and write the summation below? We will follow the same technique now below the second number. We have written 31. right? now add the same number with it. and it is ( 31+31)  = 62. now write this number below the number 31.

Such as -  ( now just showing the part of 31 only)

31( main second number)

31( the same number is written below)

62 (31+31).

7. now see that there are five steps under or below the first number. 1,2,4,8,16 are five steps. so below the second number or the number 31, there must be only five steps, not more or not less.

Such as - ( only showing 31 now) 

31 ( the second number)

31 ( the same number is written below)

62 ( 31+31) 

124( 62+62)

248 (124+124) 

496 ( 248 + 248) 

8.  so we got our five several steps below two numbers. Here is a note you don't need to write only five steps. It depends on the numbers here. There can be 6,7 or 8 steps or more below the first number. But you have to remember that you have to write the same steps below the second one as many as the first number has.

9. now see below the first number.  we got 1,2, 4,8,16. you have to mark the numbers which jointly make 26 ( the first number) by addition. They are 2,8 and 16. ( 2+8+16 = 26)

now see that 2, 8, and 16 are respectively 2nd, 4th, and 5th step below the first number. So we have to mark 2nd, 4th, and 5 th step below the second number. And they are 62, 248 and 496. add these numbers. You will get your answer.

 

26 × 31 = 806

62 + 248 + 496 =806. 

Conclusion

when you thoroughly learn this method, you will be able to do multiplications within a few minutes, and the chance of being wrong is also less as you see there is just addition here. 

Learn and enjoy mathematics. And don't forget to show gratitude to the Egyptians.