What is 0/0 and why does it cause so much confusion?

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In summary, the conversation discusses the problem of dividing by zero, with different opinions on the possible solution. Some argue that 0/0 is equal to 1 because anything over itself is 1, while others argue that there is no solution because it is impossible to divide by zero. Another perspective is that 0/0 is infinite, illustrated by the analogy of an empty jar of m&m's being able to fill an infinite number of other jars. However, it is pointed out that this is not a precise term and the correct word is infinite.
  • #1
Blackhawk4560
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Problem- 0/0 = ?

This has kept me up pacing the Floors many nights now, but what is 0/0?

It's either,
0/0 = 1, because anything over itself is 1
0/0 = no solution because you cannot divide by zero

Or,
0/0 = infinate, because say you have an empty jar of m&m's, how many other jars could you fill with the same amount?Crazy stuff :D
Blackhawk
 
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  • #2
https://www.physicsforums.com/showthread.php?t=530207
 
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  • #3
Blackhawk4560 said:
This has kept me up pacing the Floors many nights now, but what is 0/0?

It's either,
0/0 = 1, because anything over itself is 1
0/0 = no solution because you cannot divide by zero
This... (the one above)
It's NOT true that "anything over itself" is 1. The "anything" can't be zero.
Blackhawk4560 said:
Or,
0/0 = infinate, because say you have an empty jar of m&m's, how many other jars could you fill with the same amount?
"infinate" is not a word, but infinite is.
Blackhawk4560 said:
Crazy stuff :D
Blackhawk
 

1. What is the meaning of the expression "0/0"?

The expression "0/0" is known as an indeterminate form in mathematics. It represents a situation where the number of possible solutions is undefined or cannot be determined.

2. Can "0/0" be simplified to any value?

No, "0/0" cannot be simplified to any specific value. As mentioned before, it is an indeterminate form, and the result depends on the context in which it is used.

3. Is "0/0" equal to infinity?

No, "0/0" is not equal to infinity. In fact, dividing any number by 0 is undefined in mathematics.

4. Can "0/0" ever be a valid solution to a problem?

No, "0/0" cannot be a valid solution to a problem. It represents a situation where the solution is undefined or cannot be determined.

5. What are some real-life examples of "0/0"?

One example of "0/0" in real life is when trying to calculate the average of a set of numbers where all the numbers are the same. Since the denominator (number of values) is 0, the average cannot be determined. Another example is in physics, when trying to calculate the velocity of an object at a specific point in time where the distance traveled and the time elapsed are both 0.

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