Search results
Nov 21, 2023 · In mathematics, undefined means a term that is mathematically inexpressible, or without meaning. Anything divided by zero is considered undefined by the rules of mathematics. Take a fraction such...
- Conflicting Rules For Division?
- Indeterminate
- But What About Limits?
- Any number? Or A Detour Sign?
- Distinguishing The Terms
Let’s start here: Sheryl knew three facts: 1. 0÷n=0 for any number n 2. n÷0 is undefined for any number n 3. n÷n=1 for any number n. But 0÷0fits all three rules, so what happens when math “rules” do battle? Is the result 0, or undefined, or 1? The answer turns out to be “undefined”, but there’s a lot to be considered. The first issue is to clarify ...
Here’s another question at the same level: Jon is sticking with the rule that n÷n=1 for any number n, without exception. (It’s not clear what he means by saying that zero is undefined.) Doctor Shawn referred to our FAQ on division by zero, explaining that defining it would lead to contradictions; Jon came back with an attempt to avoid contradiction...
Some students learn a little about the ideas I just described, called limits, and get a wrong impression. Here is a question that arose that way: Peter is saying that cross-multiplication in his equation yields 0⋅1=0⋅x , and any value of xwill make that equation true, so that 0/0 can have any value. This is another way to describe what I said above...
People keep writing to ask about 0/0, many thinking they have a resolution to this “problem”. The next one led to a long discussion I will only dip into; but it turns out that in a sense he was essentially right. Doctor Ian first answered, taking “any number” to mean any particularnumber, and showing the contradiction. After Rob wrote back, Doctor ...
I’ll close with this question, at the calculus level: Doctor Vogler replied: These ideas can overlap, but they are typically answering different questions. This function simplifies to f(x)=x+2(x≠2), so the limit is 2+2=4. So although the function itself is undefined there, and the formof the limit is 0/0 (indeterminate), the limit is not undefined....
Apr 10, 2015 · To put matters straight: Division is a function q: R × R ∗, (a, b) ↦ q(a, b) =: a b , whereby q(a, b) is the unique number x ∈ R such that bx = a. When we say that a 0 is undefined then this means no more and no less than that the pair (a, 0) is not in the domain of the function q(⋅, ⋅).
Apr 23, 2019 · Because of this indeterminateness, $0\div0$ is also left undefined. Here's another very simple example for good measure. You have $7$ pizzas and you want to divide them among zero people.
Apr 7, 2019 · The function $s(t)= 3/(t+2)^2-6(t+2)+9$ is undefined when $t=-2$, because division by $0$ is undefined. For another example, in the context of real numbers, a function involving a square root would be undefined when the argument of the square root is a negative number.
In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the possibility of assuming different values). [1]
People also ask
Is a number divided by 0 always undefined?
What does undefined mean in math?
Is 00 undefined in arithmetic?
Is zero divided by zero undefined?
We can say that zero divided by 1 equals zero and we can also say that this is "defined" as well. Our next example is going to be 1 divided by zero. And a lot of people like to guess that it would be zero. So, let's try that out. We take our "b" which is zero and multiply it by our "c" which is zero.
