The concept behind Division & Multiplication

The Mathematics is a very ancient branch of knowledge. Maths. is called as Mother of Sciences. Now a days,  we use division and multiplication in our daily mathematical problems frequently. However, we don’t know the concept behind the Division & Multiplication.

Division

Dividing a number by another is not a difficult thing for any of us now. But, Take a look at, what is the logic behind it. For example, We divide 20/5. The division is actually the sequential subtraction. Such as:

1)  20 – 5 = 15

2)  15 – 5 = 10

3)  10 – 5 = 5

4)  5 – 5 = 0

We first subtracted 5 from 20. We did the same subtracting by 5 for 4 times till the answer became 0. So, the answer is 4.

Multiplication

The logic behind multiplying a number by another is anti to that of division. If, division is sequential subtraction, then, multiplication is Sequential Addition. For example: 5 × 4.

1) 0 + 5 = 5

2) 5 + 5 = 10

3) 10 + 5 = 15

4) 15 + 5 = 20

We first added 5 to 0. We again added 5 to new answer. After adding 4 times, the number became 20, so the answer is 20.

Division by Zero

In mathematics, dividing some number by 0, is undefined. The reason is that, as division is sequential subtraction of a number. Which means that, continuously subtract that number from given till the answer becomes zero. Let’s take an example: 5/0.

1)  5 – 0 = 5

2)  5 – 0 = 5

3)  5 – 0 = 5

4)  5 – 0 = 5

The problem here comes that, the answer is not coming 0. Insted of 0, it’s always 5. So, the continuous process continues and never stops. So, that is why, division by 0 is an undefined operation.

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Author: Bit Coder

I am a Technology student. I Learn 'n' Teach IT(Information Technology). I know HTML5, CSS, PHP, MySQL, BASIC & a bit JS. Feel free to contact me :)

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