Why can’t you divide by zero?

Suppose you’ve got a pizza. A nice charcoal-cooked one from New Haven, or an oven-hot Chicago deep-dish, or even one of those organic San Francisco artisan pies that somehow make artichoke hearts seem like they belong on a pizza. And, generous soul that you are, you’ve decided to share.

How many people can you feed if everybody gets half of a pizza (a hearty helping)?

How many people can you feed if everybody gets half of a pizza (a hearty helping)?

Well, it’s 1 pizza ÷ ½ pizzas per person = 2 people.

And how many can you feed if everybody gets 1/10 of a pizza (a cheesy snack)?

1 pizza ÷ 0.1 pizzas per person = 10 people.

And how many if everybody gets 1/100 of a pizza (a bite-sized morsel)?

1 pizza ÷ 0.01 pizzas per person = 100 people.

The smaller the slice you give to each person, the more people you can feed. Or, more abstractly: the smaller the number you divide by, the bigger the result.

Now, take it one step further: What if each person gets 0% of a pizza?

1 pizza ÷ 0 pizzas per person = ???

How many people can you feed? Well, there’s no limit, because you’re not actually feeding them anything. If the earth’s seven billion people all show up at your door, asking for their share of pizza, you can say “No problem!” because “their share of pizza” amounts to nothing at all. Add another seven billion, and you’d say the same thing. How many people can you feed? There’s no answer.

When you divide a number by 0, there’s no single answer. To divide is to break something into piles of a certain size. And breaking something into piles of size zero just doesn’t make sense.

Source:- http://mathwithbaddrawings.com/2013/05/07/why-cant-you-divide-by-zero/

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