Concepts Simplified: Why Dividing by Zero Is Undefined?

The Confusing Part:

“Why can’t we just divide something by zero? What’s the big deal?”

The Problem:

Let’s say we try to divide:

$$\frac{10}{0}$$

If we ask, “What number times 0 gives 10?”
There is no such number, because:

$0 \times \text{anything} = 0$

Even:
$0 \times 999999 = 0$

So there’s no value that satisfies:
$0 \times ? = 10$

That’s why division by zero is undefined — it doesn’t produce a meaningful or consistent result.

What About $0 \div 0$?

Even worse! If we try:
$$\frac{0}{0}$$

This is not 0, not 1, and not any specific number.

Why? Because:

• $0 \times 1 = 0$
• $0 \times 2 = 0$
• $0 \times 1000 = 0$

So every number seems to work — which means there's no one right answer → it's indeterminate.

Real-World Analogy:

Imagine dividing pizza slices:

• 10 slices shared among 0 people? Who's eating it?
• 0 slices shared among 0 people? How many slices per person? You don’t even have slices or people!