Why Is Any Number Divided by 0 Undefined??

Answer 1

x / 0 is undefined not infinity.
Using the limit concept, if the 0 (zero) approaches from the right, then it is positive infinity. But if from the left, then it is negative infinity.
The limits from the right and from the left are different, so it is undefined.
You will learn about the Limit in Calculus1 or Precal

Another way of seeing this is making a graph of a / x. Look at the x at 0, you will see the graph straight up on the right side, but straight down on the left. So at x = 0, the gragh goes to nowhere.

The 3rd way, the division is defined as:
if x * y = a then y = a / x
so, if x = 0, then y can be any number and the product xy = 0. Hence we have noway to find the y. ( and 0/0 is another problem, I'm not gonna talk about that in here)

Answer 2

Because of the famous Texas Instrument's Law Of The Flashing 888888888 maybe ?

Anyway, (although you will not understand the answer) your statement is wrong.

Only *Zero* divided by 0 is "undefined". Non-null numbers divided by zero result in an infinite value (positive or negative depending on the number's sign). This "infinite" value does not belong to the Real numbers set, but it is NOT "undefined".

This said, it is probably useless to explain why 0 divided by 0 is "undefined"...

Answer 3

It's the rule of fractions. Zero cannot be divided by any number. However some terms use any positive number divides by 0, the number will be infinite, and any negative number that divides by 0, the number will be negative infinite. If zero divides by 0, it is completely undefined.

Answer 4

Thats because when you divide any number by 0 then anything *0 is 0 so sumthing like 9/0 is undefined as quotient can be like 10000000000000000000 but the remainder can be 9 or any quotient thus it is undefine or in other words called as infinity.
or lim of x to 0 for function 1/x = 1 / 0 = infinity in limits(calculus).

Answer 5

Because the answer is infinity, and infinity in itself is undefined. Think of the number you want to divide as box and zero as nothing. How many times can you put nothing into the box before it's full? An infinite number of times :)

Answer 6

Imagine dividing 1 by a small number
e.g 1/0.1 which equals 10
or 1/0.01 which equals 100
or 1/0.001 which equals 1000
Notice that as the denominator/divisor is getting smaller the answer is getting bigger. We could go on like this forever. As the divisor approaches 0 the answer approaches infinity which is, in itself, undefined. We can only consider what happens as the denominator approaches 0 and resolve that the answer approaches infinity.

Answer 7

Because 1 divided by zero is an infinite number.

Because 0 divided by zero is meaningless.

Answer 8

L'Hopital's rule does *not* inform you what 0/0 is, because of the fact 0/0 is what's called an "indeterminate" quantity, that's to declare that its fee relies upon on what the region is. To persuade your pals of this, ask them here question: "locate the cut back of (ax)/x as a techniques 0 by making use of L'Hopital's rule." they gets "a" (have confidence me!). yet once you only positioned x = 0 in this expression, you get 0/0. So, in accordance to L'Hopital, 0/0 is comparable to a. Did you spot that i did not say what "a" replaced into? it is because of the fact it is not appropriate. you could %. a equivalent to something you opt for. working example, you will possibly desire to %. a = a million. then you definately could get 0/0 = a million Or %. a = - 3.14159. Then: 0/0 = - 3.14159. so as you will discover, 0/0 may well be something you opt for it to be. on the different hand, in a definite situation, 0/0 might become some thing very precise (and that's the place you extremely do want calculus to appreciate it!). i think of your argument for why 0/0 is undefined is an extremely stable one. even if, I even have yet in any different case of information why 0/0 does not make experience, and it is going like this. one way of information the fraction a/b is to think of of it because of the fact the reply to here question: "If I had a money, and b friends, and that i allotted those a money the two among my b friends, then how lots money could each of my friends get?" the respond is they could each get a/b money. you will discover that this works for fractions like 6/3, or 5/10, etc. yet attempt it for 0/3. in case you have 0 money, and 3 friends, and you distribute those 0 money (you're feeling beneficiant...) the two among each of them, how lots could each of your 3 friends get? needless to say, they could each get 0 money! Now attempt it for 3/0. in case you have 3 money and nil friends, and you.... yet how are you able to distribute any quantity of money among friends who do not exist? So the question of what 3/0 potential is senseless! Now right here is the kicker: What in case you have 0 money and nil friends? in case you distribute those 0 money the two among your 0 friends, how lots does each of those (nonexistent) friends get? Do you spot that this question is senseless the two? in specific, if 0/0 = a million, then that could desire to recommend that each of your nonexistent friends have been given a million greenback! How might desire to that be? the place could that greenback have come from?

Answer 9

ok lets assume that u want to walk a distance of 20 feet and u walk with a speed zero feet/second ( u stand still )
after how many seconds would u walk the whole 20 feet??
with no mathemamatics we can tell that u will never make the 20 feet
so how can we apply that with mathematics

0 feet --------- 1 second
20 feet-------- ? seconds
? = 20*1/0
= infinity
means u need infinty seconds to make this 20 feet distance and thats the mathematical equivilant to the sentences ( u won ever do the 20 feet)
this answer is for those under 15 years

Answer 10

The simple answer is that you can't divide something physical into zero parts. Like an apple. There is no way to change the physical make up of the apple until it is divided into zero parts. You can divide it into just about any other whole number of parts, but there is no way to get it into zero parts. That is why you cannot divide by zero in its simplest form.