Solution 1.1:6d
From Förberedande kurs i matematik 1
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- | { | + | In the text, |
- | < | + | <math>\sqrt{2}</math> |
- | { | + | is given to |
+ | <math>30</math> | ||
+ | decimal places, | ||
+ | |||
+ | |||
+ | <math>\sqrt{2}=1.414\ 213\ 562\ 373\ 095\ 048\ 801\ 688\ 724\ 210...\ </math> | ||
+ | |||
+ | and from this decimal expansion, we see that √2 to three decimal places is | ||
+ | |||
+ | |||
+ | <math>\sqrt{2}=1.414</math> | ||
+ | |||
+ | |||
+ | 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.