Why can you multiply by zero but not divide?

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Go easy on me.

In: Mathematics

29 Answers

Anonymous 0 Comments

Somebody already gave this answer, but I’ll give it a go:

x/0 is defined as the number y such that y*0 = x.

But y*0 is always zero. Thus if x is not 0, then x/0 is “undefined.” It’s not a number.

Now what about when x is 0?

0/0 is defined as the number z such that z*0 = 0.

But this is true for *any* number z. Thus 0/0 is “indeterminate.” It’s not a number.

Anonymous 0 Comments

Let’s start with 2×6=12. Then 12/6=2, and 12/2=6. This is always true.

Let’s try with another number. 12/0. That means we have to find the answer for x×0=12. Which has no answer: there is no number which gives you 12 when multiplied by zero.

How about zero then? Surely we could at least divide zero by zero: 0/0. But then

x×0=0. Since every number multiplied by zero gives you zero, any number could be the answer.

Anonymous 0 Comments

Decision is how many of that amount fits into another amount. For example. 10/2 =5 because 2 will fit 5 times in 10, but 10/0 isn’t even infinity, even if you put infinite Eros you still wouldn’t get 10

Anonymous 0 Comments

I always try to imagine dividing candy among a group. 5 piece to 5 people is 1 piece per person. 5 pieces to 2 people is 2.5.

But how would you divide 5 pieces of candy to 0 people? You can’t, the whole premise falls apart. You would just be some weirdo standing on your porch with a fistful of candy.

Anonymous 0 Comments

if you multiply any number by 0 you get 0 so division being the inverse of multiplication is incapable of giving you a unique answer, for example: 1*0=2*0 => 1*0/0=2*0/0 => 1=2

Anonymous 0 Comments

Suppose you could. Then since
5 x 0 = 0 you’d have 0 / 0 = 5
Similarly
2 x 0 = 0 and 0 / 0 = 2
So 5 = 0 / 0 = 2, which is clearly wrong.

How did we deduce this bullshit? Only by assuming you can divide by zero.

Anonymous 0 Comments

Let us take an example of cake.
I have 1 cake.
Multiplication by 2 is 2 cakes
Multiplication by n is n cakes

Division is making parts of that cake.
Division by 1 is 1 cake
Division by 2 is making 2 equal parts of cake
Division by n is making n equal parts of cake.

Now you cannot split a cake into 0 equal parts.
Unless you turn it into many many many tiny crumbles such that each part is as good as none and each crumble cannot be counted in any meaningful manner.
Hence division by 0 is infinity

Anonymous 0 Comments

You can have 0 cookies and distribute them to 3 friends – each friend gets no cookies. If you ask the opposite question and give 3 cookies to 0 friends you can’t say how many each non existent friend gets and as Siri would say – you are sad because you have no friends.

Anonymous 0 Comments

You can neither multiply by zero nor divide by zero. The result of either calculation is zero or null.

Anonymous 0 Comments

Because Mathematicians refuses to believe that you can have 8 apples and 0 baskets to put them in.