79+58-23+29+56-79
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a) 5 8 . − 2 9 + 5 8 . − 7 9 + 1 1 3 . − 5 8 = 5 8 − 2 9 + − 7 9 + − 4 3 = − 35 24
b) 8 5 7 + 3 , 15 + 1 2 7 + 4 , 35 = 8 5 7 + 1 2 7 + ( 3 , 15 + 4 , 35 ) = 14 , 5
a) 5 8 . − 2 9 + 5 8 . − 7 9 + 1 1 3 . − 5 8 = 5 8 − 2 9 + − 7 9 + − 4 3 = − 35 24
b) 8 5 7 + 3 , 15 + 1 2 7 + 4 , 35 = 8 5 7 + 1 2 7 + 3 , 15 + 4 , 35 = 14 , 5
a ) 7 3 5 − 2 5 7 + 5 3 5 = 7 3 5 − 5 3 5 − 2 5 7 = 2 − 19 7 = − 5 7 .
b ) 8 2 9 − 4 2 9 − 5 1 2 = 8 2 9 − 4 2 9 + 5 1 2 = 4 + 11 2 = 19 2 c ) 5 8 . − 2 9 + 5 8 . − 7 9 + 1 1 3 . − 5 8 = 5 8 − 2 9 + − 7 9 + − 4 3 = − 35 24 d ) 8 5 7 + 3,15 + 1 2 7 + 4,35 = 8 5 7 + 1 2 7 + ( 3,15 + 4,35 ) = 14,5
Đặt : \(A=\frac{1}{20.23}+\frac{1}{23.26}+\frac{1}{26.29}+...+\frac{1}{77.80}\)
\(\Rightarrow3A=\frac{3}{20.23}+\frac{3}{23.26}+\frac{3}{26.29}+...+\frac{3}{77.80}\)
\(\Rightarrow3A=\frac{1}{20}-\frac{1}{23}+\frac{1}{23}-\frac{1}{26}+\frac{1}{26}-\frac{1}{29}+...+\frac{1}{77}-\frac{1}{80}\)
\(\Rightarrow3A=\frac{1}{20}+\left(\frac{1}{23}-\frac{1}{23}\right)+\left(\frac{1}{26}-\frac{1}{26}\right)+...+\left(\frac{1}{77}-\frac{1}{77}\right)-\frac{1}{80}\)
\(\Rightarrow3A=\frac{1}{20}-\frac{1}{80}\)
\(\Rightarrow3A=\frac{3}{80}\)
\(\Rightarrow A=\frac{3}{80}:3\)
\(\Rightarrow A=\frac{1}{80}\)
Vì 80 > 79 nên \(\frac{1}{80}< \frac{1}{79}\)hay \(A< \frac{1}{79}\)
~ Hok tốt ~
\(\frac{1}{20\cdot23}+\frac{1}{23\cdot26}+\frac{1}{26\cdot29}+...+\frac{1}{77\cdot80}\)
\(< \frac{1}{3}\left[\frac{3}{20\cdot23}+\frac{3}{23\cdot26}+\frac{3}{26\cdot29}+...+\frac{3}{77\cdot80}\right]\)
\(< \frac{1}{3}\left[\frac{1}{20}-\frac{1}{23}+\frac{1}{23}-\frac{1}{26}+...+\frac{1}{77}-\frac{1}{80}\right]\)
\(< \frac{1}{3}\left[\frac{1}{20}-\frac{1}{80}\right]\)
\(< \frac{1}{3}\left[\frac{4}{80}-\frac{1}{80}\right]\)
\(< \frac{1}{3}\cdot\frac{3}{80}=\frac{1}{80}< \frac{1}{79}(đpcm)\)
\(79+58-23+29+56-79\)
\(=\left(79-79\right)+\left(58-23\right)+\left(29+56\right)\)
\(=0+35+85\)
\(=120\)
119 nhé bạn
~học tốt~