Fractional Proof Note 11

Let's prove that:

x100\frac{x}{100} ×100=x\times 100 = x

x100\frac{x}{100} ×100\times 100

100x100\frac{100x}{100}

10x10\frac{10x}{10}

1x1\frac{1x}{1}

xx

Therefore, x100\frac{x}{100} ×100=x\times 100 = x

Note by Yajat Shamji
4 months, 3 weeks ago

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A simpler one: x100×100=100x100=100100×x=1×x=x\dfrac{x}{100}\times100=\dfrac{100x}{100}=\dfrac{100}{100}\times x=1\times x=x

Zakir Husain - 4 months, 3 weeks ago

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Nice!

Yajat Shamji - 4 months, 3 weeks ago

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More simpler : x100×100=x\frac{x}{100} \times 100 = x

Razing Thunder - 4 months, 3 weeks ago

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Maybe simple? Not quite...

x100×100\frac{x}{100} × 100

=x×1001×1001= x × 100^{-1} × 100^1

=x×10011= x × 100^{1-1}

=x×1000= x × 100^0

=x×1= x × 1

=x= \boxed{x}

Frisk Dreemurr - 4 months, 2 weeks ago

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@Yajat Shamji

Frisk Dreemurr - 4 months, 2 weeks ago

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it is not simpler

Razing Thunder - 4 months, 2 weeks ago

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Yup, but I am just bored...

Frisk Dreemurr - 4 months, 2 weeks ago

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@Frisk Dreemurr do my question (they are difficult)

Razing Thunder - 4 months, 2 weeks ago

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