Solution 1.1:6d

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In the text,
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<math>\sqrt{2}</math>
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is given to
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<math>30</math>
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decimal places,
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<math>\sqrt{2}=1.414\ 213\ 562\ 373\ 095\ 048\ 801\ 688\ 724\ 210...\ </math>
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and from this decimal expansion, we see that √2 to three decimal places is
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<math>\sqrt{2}=1.414</math>
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because the fourth decimal is 2 and is therefore rounded down.

Current revision

In the text, \displaystyle \sqrt{2} is given to \displaystyle 30 decimal places,


\displaystyle \sqrt{2}=1.414\ 213\ 562\ 373\ 095\ 048\ 801\ 688\ 724\ 210...\

and from this decimal expansion, we see that √2 to three decimal places is


\displaystyle \sqrt{2}=1.414


because the fourth decimal is 2 and is therefore rounded down.

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