General Equations Part 1

IS 0/0 REALLY EQUAL TO ONE?

There is a set of equations that works with every number. These are general equations. Here are a few examples. 

If you have an x amount of cake (x is only a variable), and you eat them all, you eat all x amount of cake(s).

x/1 always equals x. Let me explain further on the subject. Multiplication is essentially the process of repeated addition. Let's use the cake example. Every hour, one cake is made. How many hours does it take to make two cakes. We can represent this situation as a multiplication sentence: 1*2.

1*2=2, since you add 1 twice. 1+1 is 2. So in two hours, two cakes are made. Division is essentially the inverse of multiplication.Therefore, 2÷1=2. This proves the point that x÷1=x.

But does that mean that 0÷1=0? It does indeed.

This gets me to my next point: 0÷x=0. If you have 0 cakes and you'll eat the cakes, How many cakes will you have? You'll have no cakes because there are no cakes in the first place. How are you going to eat nothing? 0 divided by any number is always 0. I wish I can say that this is true. 

All of this brings up the controversial mathematical inquiry: IS 0/0 REALLY EQUAL TO ONE?

The answer is yes and no. But how could it be 1? I'm not saying it is 1, but let's find some reasoning to back us up. x÷x is always 1. If you have 2 cakes and two friends, each friend gets 1 cake. So it would make sense that if you have 0 cakes and 0 friends, each friend gets one cake. But you don't have one cake. You have no cakes. This brings me to my next point: 0÷0=∞. To learn about that twisted 8 symbol, go to: https://mathblogone.blogspot.com/2021/11/infinity.html

If you have 0 cakes and 0 friends, no one will get an infinite amount of cake. When I say infinite, I mean an infinite range of any numbers. But at the same time, no one will get 1 cake. So, is 0÷0 equal to 1, 0, or ∞? Find out when I release Part 2 of General Equations.