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

  • MHB
  • Thread starter Teh
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In summary, the math trick involves manipulating fractions with a denominator of 25 to make them equivalent to a multiple of 10. This can be done by multiplying both the numerator and denominator by a certain factor and then moving the decimal point to the right. This trick can be used for any fraction with a denominator of 25, as well as for decimals. It can be helpful in real-life situations, such as calculating tips and converting measurements, and can also be used for mental math.
  • #1
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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  • #2
Hi Teh,

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 $f(1/25) = 2/(1/5) = 2 \cdot 5 = 10$.
 
  • #3
Teh 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 $
 
  • #4
ahhh okay plug it into the square root of x thank you very much :D
 

1. How does this math trick work?

The math trick works by manipulating the fraction 1/25 using basic algebraic principles. By multiplying both the numerator and denominator by 4, we get 4/100. Then, we can simplify this fraction by dividing both the numerator and denominator by 4, resulting in 1/25 = 4/100. Since 4/100 is equivalent to 0.04, we can simply move the decimal point two places to the right to get 4, which is 10 times greater than 1/25.

2. Can this trick be used for any other fractions?

Yes, this trick can be used for any fraction that has a denominator of 25. For example, if we have 3/25, we can follow the same steps and end up with 3 = 0.12, which is 10 times greater than 3/25.

3. Is this trick limited to just multiplying by 10?

No, this trick can be used to turn any fraction into a multiple of 10. For instance, if we have 1/50, we can multiply both the numerator and denominator by 2 and end up with 1/50 = 2/100 = 0.02. This can be applied to any fraction with a denominator of 50, 75, 125, etc.

4. Does this trick work for decimals as well?

Yes, this trick can also be used for decimals. For example, if we have 0.01/25, we can follow the same steps and get 0.01 = 4/100 = 4, which is 10 times greater than 0.01/25. However, it is important to note that the decimal point will need to be moved to the right the same number of places as the original denominator.

5. How can this trick be helpful in real-life situations?

This trick can be helpful in various real-life situations, such as calculating tips, converting measurements, and estimating percentages. It can also be used in mental math to quickly and easily multiply fractions by 10. Overall, this math trick can save time and make calculations more efficient.

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