In the world of math, many strange results are possible when we change the rules.
Normally,dividing by smaller and smaller numbers gives you bigger and bigger results.For example,Twenty divided by two is ten,twenty divided by ten is two.Imagine you have twenty dollars and you need to give unknown people,so if the numbers become big, then the average amount will be less.
Try to understand what is the division really means. Twenty divided by two could mean "How many times must we add two together to the twenty",yeah,the answer is ten times.
so I want to ask you question,How many times must we add zero together to the twenty?
Besides,Dividing by a number is essentially the revere of multiplying by it.You know twenty divided by two is ten ,so the ten can multiply two become twenty,but the zero multiply any number is still zero,So if you choose zero as division, the answer is impossible to speak.
The division means the average,so if you divide by numbers that keep shrinking all the way down to zero,the answer will grow to the largest thing possible.When you enter to the college class,you can see the symbol of infinity.
Fallacy: 0*1=0;0*2=0 ;0*1=0*2=0; 0/0*1=0/0*2
Look,pay attention to what you get,1=?=2! That's already break the rules,it is a ridiculous resolution!
Finally,if you ask siri about the problem that"why not zero become division",you will get the follow answer:
You have the twenty cookies , and you split them evenly among the zero friends, how many cookies does each person get?
See! It doesn't make sense ,cookies will be sad because that there are no cookies,you will be sad because you have no friends.
这是昨天在英文巴士上听到的一篇外文推送,恰逢自己在跑步,于是边跑边思考这个问题,以前老师总是告诉我们0一定不可以作除数,却没有告诉我们为什么,如果有人感兴趣的话也可以去维基百科上去搜索相关内容或者用英文问一下你的siri为什么0不可以作除数,你都可以得到一个意想不到的答案。
自己用中文梳理一下这个问题的答案吧。最通俗的一种解释就是,除数作为一种平均的意义,就像分饼干,分给0个人,我怎么都分不出来啊,所以无解。第二种解释就是,除法作为乘法的逆运算,你要知道任何数(无穷无尽的数字)*0=0,而?*0=6这个等式是不存在的,所以0不能作为除数。第三种解释就是想象一下你一共有1元钱,请问你想从0元开始起步,那么需要多少个0相加才能得到1元呢,也许让时间无限延续下去,你真的可以得到这1元,但是这个0就好像是一场梦(不存在的),只要你不醒,你永远无法踏出这一步,你也终究是个异性人不存在的!