(1,5 điểm) Thực hiện phép tính: a) 1/8 + 3/2 : 4/5 .b) ( 1 − 2/3 − 1/4 ) : ( 4/5 − 3/4 ) 2 ;c) √ 0 , 36 . 5/4 − √ 25/16 . ( 0 , 8 ) 2 .
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a) \(\frac{1}{8} + \frac{3}{2}:\frac{4}{5}\) \( = \frac{1}{8} + \frac{3}{2}.\frac{5}{4}\) \( = \frac{1}{8} + \frac{{15}}{8}\) \( = \frac{{16}}{8}\) \( = 2\). |
b) \(\left( {1 - \frac{2}{3} - \frac{1}{4}} \right):{\left( {\frac{4}{5} - \frac{3}{4}} \right)^2}\) \( = \left( {\frac{{12}}{{12}} - \frac{8}{{12}} - \frac{3}{{12}}} \right):{\left( {\frac{{16}}{{20}} - \frac{{15}}{{20}}} \right)^2}\) \( = \frac{1}{{12}}:{\left( {\frac{1}{{20}}} \right)^2}\) \( = \frac{1}{{12}}:\frac{1}{{400}}\) \( = \frac{1}{{12}}.400\) \( = \frac{{400}}{{12}}\)\( = \frac{{100}}{3}.\) |
c) \(\sqrt {0,36} .\frac{5}{4} - \sqrt {\frac{{25}}{{16}}} .{\left( {0,8} \right)^2}\) \( = \sqrt {{{\left( {0,6} \right)}^2}} .\frac{5}{4} - \sqrt {{{\left( {\frac{5}{4}} \right)}^2}} .0,64\) \( = 0,6.\frac{5}{4} - \frac{5}{4}.0,64\) \( = \frac{5}{4}.\left( {0,6 - 0,64} \right)\) \( = \frac{5}{4}.\left( { - 0,04} \right)\) \( = \frac{5}{4}.\left( { - \frac{1}{{25}}} \right)\)\( = - \frac{1}{{20}}\). |
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