How you can describe anynumber divide by zero equals to infinity?

Answer 1

Thats a common misconception.
limit x tends to 0, 5/x is infinity
but tends to 0 is not that x is equal to 0.It means x is almost 0(you are moving towards 0) but not 0.
U cannot divide bu 0,its a undefined proposition.

Answer 2

Mat (above) showed you a really good way of looking at what happens to your quotient when your denominator (divisor) approaches zero...the quotient approaches inifinity.

However, as others stated, when the denominator reaches zero, the quotient is "undefined" (unless the numerator or dividend is also 0, in that case the quotient is "indeterminate").

Here's another way to look at it....

What is 6 / 3? Of course the answer is 2. How do you check yourself? You take the quotient - 2 and multiply it back with the denominator (divisor) - 3 and make sure you get the original dividend (numerator) - 6. And certainly 2 * 3 = 6. This works because multiplication is the inverse operation of division.

Now, let's take a look at:
5 / 0? What would this be? Whatever it is, we know that when multiplied by 0, the product must be 5. In other words...if 5 / 0 = x, then x * 0 should = 5. What times 0 equals 5? Since we have no defined value that would adequately answer this, we say that 5/0 is undefined.

But what about:
0/0? Whatever this answer is, we know that when we multiply it by 0 the product must be 0. In other words...if 0/0 = x then x * 0 should = 0. What times 0 equals 0? Well, everything. Every real or complex value could be the answer. Since we don't know what the actual value is, we say the answer is indeterminate.

Answer 3

I can explain u with an example.
Suppose u have 6 chocolates and u have 2 divide them equally among 2 kids.Then if u give 3 to each kid then the chocolates will get divided.
But if u have 0 and u have to divide them between the same 2 kids,then u will have 2 keep giving zero chocolates infinite number of times so that u will be able 2 distribute them.
Its difficult 2 explain but easier 2 understand.

Answer 4

Start by dividing 1/1 = 1
then try 1 / 0.5 = 2
then 1/ 0.25 = 4
1/0.1 = 10
1/0.01 = 100
1/0.001 = 1000
1/0.0001 = 10000
1/0.00000000000000001 = 1000000000000000
1/0 is strictly not defined but we say that as the denominator (or bottem number) approches 0 the answer approches infinity.

Although if the top number is 0 as well then it is a complete mess. We just throw up our hands and say it is too hard. Technically you have to look at the speed at which both the top number and bottem numbers are approching zero. If the top number converges faster the answer will be zero if the bottom number converges faster than the answer is usually taken as infinity.

Answer 5

A positive number divided by 0 is not infinity.
It's positive and negative infinity
1/1 =1
1/0.1 =10
1/0.0001 = 10000

but also
1/-1 =-1
1/-0.01 =-10
1/-0.0001 = -10000

In the function 1/x, the limit as x approaches 0 from the positive side, it becomes positive infinity.

The limit as x approaches 0 from the negative side, it becomes negative infinity.

0/0 is undefined because it can be any number from negative infinity to positive infinity
Take 2 functions y =a*x and y=1x
Both of these function will be 0 when x =0
but a*x/x will be a when x =0

Answer 6

any consistent or variable divided by utilising 0 is undefined. think of of it like this; each now and additionally then you definately could have a quotient that leads to a nil over 0 situation or an infinity over infinity situation, yet as quickly as you carry out a splash algebra you are able to set up the equation in yet in a diverse way, in a fashion the place you wont have an impossible situation. it particularly is precisely what you probably did right here, basically you went from conceivable to impossible. Its all an identical, as long as you're able to do algebra to get some thing clever calculus wont fall down :)

Answer 7

Dividing any number by zero is undefined, not infinity.

The limit of division as the denominator approaches zero, does extend to infinity. The value cannot actually reach zero, though.

Answer 8

I think when you graph the function y=a/x where a is constant and x is turning to zero the possible the x reach zero the value of y increases as to infinity. ex a=4
4/1=4
4/0.1=40
4/0.001=400
notice that the x approaches zero the y is increases.

Answer 9

Really. When you divide any number by zero it's not equal to infinity.. it's just an Undefined quantity..

Answer 10

Dividing by any number basically means answering, how much of that number is there in the number being divided. 4/2=2 means, that there are two 'number 2' in the number 4. How many zeroes are there in any number? Infinitely many!