Mathematics: Which is bigger 0.01 or 0.009999999999999

Which is bigger 0.01 or 0.009999999999999 - id001000999999999999914265680, coolkitty35

Ответ:

meganxc98

07.09.2021

They might be equal actually

Explanation:

Well 0.01 is actually bigger if we don't see 0.009999999999999 as $0.00\overline9$ as $0.00\overline9$ and 0.01 are actually equal. However your questionnaire might mean as $0.00\overline9$ so you might want to clarify that with your teacher.

Proof of $\bold{0.01 = 0.00\overline9}$ :

We let $x = 0.00\overline9$

$x = 0.00\overline9 \\ x \times 10 = 0.00\overline9 \times 10 \\ 10x = 0.09\overline9 \\ 10x -x = 0.09\overline9 - 0.00\overline9 \\ 9x = 0.09 \\ \frac{9x}{9} = \frac{0.09}{9} \\ x = 0.01$

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Ответ:

ashleyivers3

20.01.2021

Mathematics

okay

Step-by-step explanation:

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Which is bigger 0.01 or 0.009999999999999

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