35.273 + 33.35
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34 . 71 - 34 . 29
34 . ( 71 - 29 )
34 . -441
= -35721
(33 . 52 - 24 - 16 ) . 13
= ( 27 . 25- 16 - 16 ) . 13
= ( 675 - 16 -16 ) . 13
= 643. 13
= 8359
35.237 +33.35
=35 . ( \(237+33\) )
= 35 . 270
= 9450
23 . 42 + 23 . 84 - 40
=23 . ( 16 + 84 ) - 40
= 8 . 100 - 40
= 800 - 40
= 760
\(=\dfrac{1}{3}-\dfrac{1}{2}\left(\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+...+\dfrac{2}{33\cdot35}\right)\)
\(=\dfrac{1}{3}-\dfrac{1}{2}\cdot\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{33}-\dfrac{1}{35}\right)\)
\(=\dfrac{1}{3}-\dfrac{1}{2}\cdot\dfrac{32}{105}=\dfrac{19}{105}\)
đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)
đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)
Gọi A là biểu thức \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
Ta có: \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)=3\cdot\frac{6}{35}=\frac{18}{35}\)
= 35.273 = 27 .35
=35.(273+27)
=35. 300
= 10500