Lösung 1.1:6d

Aus Online Mathematik Brückenkurs 1

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In the text,
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<center> [[Image:1_1_6d.gif]] </center>
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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.

Version vom 09:33, 22. Sep. 2008

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.

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_1.1:6d“