(1,0 điểm) Thực hiện phép tính: a) ( − 1 2 ) 2 . 4 11 + 7 11 . ( − 1 2 ) 2 ;b) ( − 2 ) 3 + 1 1 3 | 2 , 5 | − √ 49 : 7 5 .
Giải thích
Hướng dẫn giải
a) \({\left( { - \frac{1}{2}} \right)^2}.\frac{4}{{11}} + \frac{7}{{11}}.{\left( { - \frac{1}{2}} \right)^2}\) \( = {\left( { - \frac{1}{2}} \right)^2}.\left( {\frac{4}{{11}} + \frac{7}{{11}}} \right)\) \( = \frac{1}{4}.\frac{{11}}{{11}}\) \( = \frac{1}{4}.1\) \( = \frac{1}{4}\). | b) \({\left( { - 2} \right)^3} + 1\frac{1}{3}\left| {2,5} \right| - \sqrt {49} :\frac{7}{5}\) \( = {\left( { - 2} \right)^3} + \frac{4}{3}.2,5 - \sqrt {{7^2}} :\frac{7}{5}\) \( = 8 + \frac{4}{3}.\frac{5}{2} - 7.\frac{5}{7}\) \( = 8 + \frac{{10}}{3} - 5\) \( = 3 + \frac{{10}}{3}\) \( = \frac{{19}}{3}\). |