The **M*** athematics *is a very ancient branch of knowledge. Maths. is called as

**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.**

*Mother of Sciences.*

# 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.