Cho E = ( − 3 31 + − 6 17 + 1 25 ) + ( − 28 31 + − 11 17 + − 1 5 ) . Chọn câu đúng.
A. E > 0
B. E = − 54 25
C. E = − 54 25
D. E = 0
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=-3/31-6/17+1/25-28/31-11/17-1/5
=-1-1-4/25=-2-4/25=-54/25
b: D=(-3/31-28/31)+(-6/17-11/17)+(1/25-5/25)
=-2-4/25=-54/25
A = - \(\dfrac{3}{31}\) - \(\dfrac{6}{17}\) + \(\dfrac{1}{2}\) - \(\dfrac{28}{31}\) - \(\dfrac{11}{17}\)- \(\dfrac{1}{6}\)
A = -( \(\dfrac{3}{31}\) + \(\dfrac{28}{31}\)) - ( \(\dfrac{6}{17}\) + \(\dfrac{11}{17}\)) +( \(\dfrac{1}{2}\)- \(\dfrac{1}{6}\))
A = - \(\dfrac{31}{31}\) - \(\dfrac{17}{17}\)+ \(\dfrac{1}{3}\)
A = -1 - 1 + \(\dfrac{1}{3}\)
A = \(-\dfrac{5}{3}\)
\(\frac{-3}{31}+\frac{-6}{17}+\frac{1}{25}+\frac{-28}{31}+\frac{-11}{17}+\frac{-1}{5}\)
\(=\left(\frac{-3}{31}+\frac{-28}{31}\right)+\left(\frac{-6}{17}+\frac{-11}{17}\right)+\left(\frac{1}{25}+\frac{-1}{5}\right)\)
\(=\frac{-31}{31}+\frac{-17}{17}+\frac{-4}{25}\)
\(=\left(-1\right)+\left(-1\right)+\frac{-4}{25}\)
\(=\frac{\left(-25\right)+\left(-25\right)+\left(-4\right)}{25}\)
\(=\frac{-54}{25}\)
Đáp án cần chọn là: B
E = ( − 3 31 + − 6 17 + 1 25 ) + ( − 28 31 + − 11 17 + − 1 5 ) E = − 3 31 + − 6 17 + 1 25 + − 28 31 + − 6 17 + − 1 5 E = ( − 3 31 + − 28 31 ) + ( − 6 17 + − 6 17 ) + ( 1 25 + − 1 5 ) E = − 3 31 + − 6 17 + 1 25 + − 28 31 + − 11 17 + − 1 5 E = − 3 31 + − 6 17 + 1 25 + − 28 31 + − 11 17 + − 1 5 E = − 3 31 + − 28 31 + − 6 17 + − 11 17 + 1 25 + − 1 5 E = − 1 − 1 − 4 25 E = − 54 25