Solve 1/0: What Number Times 0 Equals 1?

  • Thread starter waht
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In summary, the conversation discusses the concept of division by 0 and how it relates to the set of real numbers. The unknowns a, b, c, d, etc. represent the different possible values of 1/0 in the set of real numbers. The mathematician, Warren, points out that the graph of y = 1/x at x = 0 shows all the numbers on the y-axis at the same time, indicating that 1/0 takes on all values in the set of real numbers.
  • #1
waht
1,501
4
if you recall basic division, what number times 0 equals 1, call it a.
a times 0 equals 0, subrtact and repeat. What number times 0 equals 1, call it b, and repeat the process.


a.bcdefg
--------
0|1.00000
0.00000
--------
1.000000
0.000000
----------
1.00000

although, a,b,c,d are arbitrary unkowns since we don't know what number times 0 equals 1.


so 1/0 = a*(10^0) + b*(10^-1) + c*(10^-2) + d*(10^-3) and so on.

If a,b,c,d... z take any value, then 1/0 is R (the set of all real numbers) It does not take a single value but all of them at the same time in R. It makes sense, the graph of y = 1/x , at x = 0 we get all the numbers in y-axis at the same time.
 
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  • #2
My threadlock sense is tingling.
 
  • #3
Eeeeeenooooough!

- Warren
 

1. What is the answer to 1/0?

The answer to 1/0 is undefined. This is because division by 0 is mathematically undefined and cannot be solved.

2. Why can't 0 be divided into 1?

Division is the inverse of multiplication. In other words, when we divide a number by another number, we are asking "what number times this number equals the first number?". For example, 2 divided by 4 is asking "what number times 4 equals 2?". However, there is no number that can be multiplied by 0 to equal 1, hence division by 0 is undefined.

3. Is it possible to find a solution for 1/0?

No, it is not possible to find a solution for 1/0. As mentioned before, division by 0 is mathematically undefined and cannot be solved.

4. Can we use limits to solve 1/0?

Limits can be used to approach the value of 1/0, but it will never be an exact solution. Essentially, it means finding what number gets closer and closer to 1 as the denominator (0) approaches 0. In this case, the limit of 1/x as x approaches 0 is undefined.

5. What happens when we try to solve 1/0 on a calculator?

When we try to solve 1/0 on a calculator, we will most likely get an error or an "undefined" message. This is because most calculators are programmed to recognize that division by 0 is undefined and cannot be solved.

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