Can you divide 0 by a number




















We'll discuss this in detail. If the dividend and divisor are the same in the division, then the result will always be 1. Zero is an integer number just before 1. It's an even number that is neither positive nor negative.

While zero is considered to be the whole number, it is not a counting number. The value of the zero number is nothing. Dividing 0 by any number will give us a zero.

Zero will never change when you multiply or divide any number by it. Never divide any number by zero. We've all been taught this at school, and it's good advice. It's rarely meaningful to divide anything by zero. Dividing by zero does not make sense, because in arithmetic, dividing by zero can also be interpreted as multiplying by zero. If you want to know why this is check out this awesome video by Numberphile! Try these problems out on your own and then watch the video to see the answers!

They can all be solved using the list of rules above. Good luck! Want to know where this concept comes up a bunch in math? Vertical lines have undefined slopes because the change in their x-values is always 0. Think of the meaning of division. If you had a pizza and each person received 0 slices, how many people could you feed? The question doesn't even make sense! Not only does your pizza remain untouched, but nobody is even getting fed.

No matter how many people come over to your not so great pizza party, it is impossible to completely split the pizza. When something other than 0 is divided by 0, the result is undefined. But when 0 is divided 0, it is called indeterminate.

One difference between them is that undefined is no value , and indeterminate is any value. With undefined, think back to the terrible pizza party. If you try to split 3 pizzas and everybody gets 0 slices, the pizza will not be split no matter how many people come.

Since no number of people can split the pizza, undefined means no value. But indeterminate is slightly different: there is no meaning to 00 because we have competing approaches on how to solve this problem. We know that 0 divided by any number is 0, but we also know that any number divided by 0 is undefined. There are many ways in which we can choose a and b and let them become smaller.

For example, we might pick. But we could just as well pick. Then the ratio is always 2! But we just said it should equal 1! In fact, by letting a be r times as large as b we could get any ratio r we please! It's a common strategy in teaching to simplify concepts when they are first encountered. In other words, it's common for your teacher to lie to you.

I just did! This is explained more thoroughly here.



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