mathemeticians plse answer me this problem, that has bothered me since my school days. If we have a?

Question

subject say 1.
We double it i.e 1x 2 = 2
We multiply it by itself i.e 1 x 1 =1
But if we do nothing to the subject at all i.e
1 x 0 the result is 0 Surely therotically the subject should remain.

This has always baffled me

Answer 1

Multiplication is just repeated addition.
6 x 5 = 6 + 6 + 6 + 6 + 6 + 6 = 30
So if we have six ...apples? Multiplied by zero
6 x 0 = nothing
Math doesn't always follow what happens in the physical world. You can't make 6 apples dissappear in real life, but you can in math.

Answer 2

Multiplying by 0 is not considered doing nothing at all. Doing nothing at all would be multiplying it with the neutral element for the operation in question.
i.e. For addition/substraction 0 (1+0=1/1-0=1), for multiplication/division 1(1*1=1 / 1/1=1).
Multiplying an expression with 0 is called nulling the expression.
Basically, instead of nulling the expression, you should multiply it with the neutral element, and it'd stay the same. One more of the mysteries of the universe is now solved :D

Answer 3

Because you're not ever doing anything *to* the subject, you're actually doing something *to* the number 0 to begin with.

1 x 2 means "add the number 1 to 0, but do it two times"
1 x 1 means "add the number 1 to 0, but do it one time only"
1 x 0 means "add the number 1 to 0, but do it no times at all"

Another way of demonstrating that there is no "subject" is the way that multiplication is commutative, which means that if you switch the numbers around then you get the same results. The above statements can therefore also be considered as:

1 x 2 means "add the number 2 to 0, but do it one time only"
1 x 1 means "add the number 1 to 0, but do it one time only"
1 x 0 means "add the number 0 to 0, but do it one time only"

No matter which of the two ways you look at it, you always start with 0. One number is the number to add, the other is the number of times to add it.

Answer 4

Okay look at it this way,
1)1x3=3. Here 1 is taken 3 times and added together. 1(first time)+1(second times)+1(third time)=3
2)1x2=2. Here 1 is taken 2 times and added together. 1(first time)+1(second time)=2
3)1x1=1. Here 1 is taken 1 time. No question arises of adding anything because for addition to take place we require atleast TWO numbers.
So 1(taken first and last time)=1
4)1x0=0. Here 1 is not taken at all!!!!!
So what is taken? Nothing!
Note: Numerically, 'taking nothing' is 'taking zero'.
In computer terminology, 'taking zero' is 'taking something of no value'

Answer 5

Imagine your subject is an area of 1 cm square. If you gonna multiply it by numbers, let us imagine they relate to the length of the line perpendicular to that area you will get a volme of an object, if the area is square object will be particularly cube. So the volume of the cube with the height of 0 cm must be 0 cubic cm, isn't it?

Answer 6

Doing nothing to the "subject" means doing nothing. Not multiplying, dividing, factorising or anything.

Multiplying is very definitely NOT doing nothing, as any mum will tell you.

Answer 7

if you multiply any number by zero you find zero since zero mean nothing. if you have only zero million of bugs, you have nothing