Tính nhanh: 1 + 1 + 2 + 6 + 24 +....+ 5040
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(-1) . (-2) . (-3) . (-4) . (-5) . (-6)
=-(1.2.3.4.5.6)
=-6!=720
\(\frac{2}{6}+\frac{9}{24}\)
\(=\frac{8}{24}+\frac{9}{24}\)
\(=\frac{17}{24}\)
Tương Tự vs các câu còn lại
\(\frac{7}{2}+\frac{1}{3}-\frac{5}{2}\)
\(=\left(\frac{7}{2}-\frac{5}{2}\right)+\frac{1}{3}\)
\(=1+\frac{1}{3}\)
\(=\frac{4}{3}\)
1) 271 - [ - 43 - ( - 271 - 17 )]
= 271 - [ - 43 + 271 + 17 ]
=271+43-271-17
=43-17
=26
2) 6 - 24 - 24 + 48 + 4
=10+48-48
=10
1)\(217-\left[-43-\left(-271-17\right)\right]\\ =217-\left(-43+271+17\right)\\ =217+43-271-17\\ =43-17=26\)
2)\(6-24-24+48+4=6+4=10\)
a) \(\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{10}{16}+\dfrac{10}{24}\)
\(=\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{5}{8}+\dfrac{5}{12}\)
\(=\left(\dfrac{3}{8}+\dfrac{5}{8}\right)+\left(\dfrac{7}{12}+\dfrac{5}{12}\right)\)
\(=1+1\)
\(=2\)
b) \(\dfrac{4}{6}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{14}{6}\)
\(=\dfrac{2}{3}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{7}{3}\)
\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)+\left(\dfrac{17}{9}+\dfrac{1}{9}\right)\)
\(=3+2+2\)
\(=7\)
c) \(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=1-\dfrac{1}{7}\)
\(=\dfrac{6}{7}\)