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

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SUMMARY

The discussion centers on the mathematical concept of division by zero, specifically the question of what number multiplied by zero equals one. Participants explore the implications of 1/0, concluding that it does not yield a single value but rather encompasses all real numbers (R). The analysis references the function y = 1/x, illustrating that as x approaches zero, the output spans all values along the y-axis simultaneously.

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  • Basic understanding of division and multiplication concepts
  • Familiarity with real numbers and their properties
  • Knowledge of mathematical functions, particularly y = 1/x
  • Concept of limits in calculus
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  • Research the implications of division by zero in calculus
  • Explore the concept of limits and their application in functions
  • Study the properties of real numbers and their sets
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Mathematicians, educators, students studying calculus, and anyone interested in the foundational concepts of division and real number properties.

waht
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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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