Math Trick: How to Turn 1/25 Into 10 - Step by Step Guide

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Discussion Overview

The discussion revolves around the mathematical transformation of the fraction 1/25 into the number 10 through a specific function. Participants explore the steps involved in this transformation and clarify the nature of the relationship between the two values.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant requests clarification on how 1/25 can become 10, seeking a step-by-step explanation.
  • Another participant explains that it is not that 1/25 becomes 10, but rather that applying the function f(x) = 2/√x to 1/25 results in 10, detailing the calculation steps involved.
  • A third participant reiterates the explanation, emphasizing that f(1/25) equals 10 through the same function and calculation process.
  • A later reply expresses understanding and appreciation for the explanation, indicating that plugging 1/25 into the function clarifies the transformation.

Areas of Agreement / Disagreement

Participants generally agree on the mathematical process involved in applying the function to 1/25 to arrive at 10, but there is an initial misunderstanding regarding the nature of the transformation.

Contextual Notes

The discussion does not address potential limitations or assumptions regarding the function or its application.

Who May Find This Useful

Readers interested in mathematical functions, transformations, and step-by-step problem-solving may find this discussion useful.

Teh
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How it possible for 1/25 to become 10? May anyone show me the steps please
 

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Hi the,

It's not that $1/25$ became $10$, but that $f(1/25) = 10$. For since $f(x) = 2/\sqrt{x}$ and $\sqrt{1/25} = 1/5$, then $f(1/25) = 2/(1/5) = 2 \cdot 5 = 10$.
 
the said:
How it possible for 1/25 to become 10? May anyone show me the steps please

$\frac{1}{25}$ does not become 10

but $f(\frac{1}{25}) = \frac{2}{\sqrt{\frac{1}{25}}} = \frac{2}{\frac{1}{5}} = 2 * 5 =10 $
 
ahhh okay plug it into the square root of x thank you very much :D
 

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