I love maths and I do well in maths in school. I have this concept in my head for a very very long time, it’s just that I’ve no one to share this with.
Today, I’m going to write about division, especially divisions involving infinity and zero. From wiki, division (÷) is the arithmetic operation that is the inverse of multiplication. Division can be described as repeated subtraction whereas multiplication is repeated addition.
Here is an example,
3÷2=?
basically, what the equation means is if I have 3, erm lets use apples, okay, If I have 3 apples and I’m going to give it to 2 people, how many apples does 1 get so that both people has the same amount of apples? So, the first apple is going to the first person and second apple goes to the next one. What about the 3rd apple? Each person has to have to same amount of apple, so we have to share the 3rd apple. Cut it into half, and each person gets 1 and a half apples, that’s 1.5
This is easy but what confuses everyone (well, almost everyone) is what will I get if I take infinity divide by 10? What will I get if I take 5 and divide it by 0? and so on. I’m going to explain all these stuff right now.
Case 1:
What will I get if I divide 40 by 0?
Lets use apples again. This time we have 40 apples, we’re going to give 40 apples to 0 people. How many will 1 person get? The answer is undefined. We just don’t know. Think this carefully again, you give it to nobody how many apples does 1 person get? you can’t tell. This goes the same as 0 divide by 0. Think this carefully, I’m sure you’ll get it.
We can conclude that any number(this includes infinity) divide by 0 is undefined.
Case 2:
Infinity divide by a number.
Infinity is something that has no limit. You have a lot of apples and you’re giving it to lets say 10 people, each people gets a lot of apples.
So, Infinity divide by a positive number is infinity.
we can also say that infinity divide by a negative number is negative infinity.
Case 3:
What will I get if I divide any number by infinity?
Infinity is a very, very large number, if you take a number divide by it, you will get a number very very close to 0 but will never get 0. Most people like to round it up and write their answer as 0.
Case 4:
Infinity divide by infinity.
You would get 1. I give a lot of apples to a lot of people. Each people would get 1 apple.
Case 5:
Zero divide by any number(includes infinity).
Lets say I have no apple, I’m going to give it to 10 people, how many does 1 get? zero, this is obvious.
This is all I have to write about division, infinity and zeros. I hope you get a clear picture of these kind of division and don’t get panic when you get these in exams. Just apply some example and common sense and you’ll be able to do it.
This is my first written piece, thank you for reading. Comments and criticism appreciated.
By,
redchipmunk
Just sharing my thoughts to see what the public has to say about this. experimenting in writing logic stuff
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Artwork Comments
This is very clearly explained, and a good way to introduce people to division. #applause#
Thank you very much! You’re the first one to comment on both my art and written piece. feels so so so happy that I have a comment
I like this. Made me think. Excellent when clearly put like that. You will teach people a lot. :))
And I will =) Thanks for the comment, glad that you like it. =D
Congratulations! Your writing has been FEATURED in the Experimental Group!
Thank you very much!!! Appreciate that =)
Just checking out your page (found you via the Ambigrams group) and thought this was lovely, but had to pedantically point out that you’re wrong about infinity divided by infinity. This is definitely undefined. I can easily make it 2, for example – if I number the apples with the numbers 1,2,3,… and the people with the numbers 2,4,6,8,… then I can give person 2 the apples 1 and 2, person 4 the apples 3 and 4, and so on – then each person gets two apples. By a similar argument I can make it any rational number you like (and that’s still assuming you’re talking about countable infinity!)
Sorry to come in years after you wrote it, but maths matters to me! And infinity is one of my favourite topics. In fact, it’s awesome…