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Bài 3.
Tính số học sinh của lớp 6A.
lớp của 6A trường câụ là bao nhiêu rồi ghi vó là được
chúc bạn học tốt
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a) \(x\in\left\{-1;0;1;2\right\}\)
b) \(x\in\left\{0;1;2;3;4;5\right\}\)
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a,Ta có \(\dfrac{1}{2.3}\)=\(\dfrac{1}{6}\)
\(\dfrac{1}{2}-\dfrac{1}{3}\)=\(\dfrac{3}{6}-\dfrac{2}{6}\)=\(\dfrac{1}{6}\)
=>\(\dfrac{1}{2.3}=\dfrac{1}{2}-\dfrac{1}{3}\)
b, \(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{2005.2006}\)
=\(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+....+\dfrac{1}{2005}-\dfrac{1}{2006}\)
=\(\dfrac{1}{1}-\dfrac{1}{2006}\)
=\(\dfrac{2006}{2006}-\dfrac{1}{2006}\)
=\(\dfrac{2005}{2006}\)
Ta có
\(\dfrac{1}{n}-\dfrac{1}{n+1}=\dfrac{\left(n+1\right)-n}{n.\left(n+1\right)}=\dfrac{1}{n.\left(n+1\right)}\)
Vậy \(\dfrac{1}{2.3}=\dfrac{1}{2}-\dfrac{1}{3}\)
a: \(\dfrac{4}{13}+\dfrac{-12}{39}=\dfrac{4}{13}-\dfrac{4}{13}=0\)
b: \(\dfrac{27}{23}-\dfrac{-5}{21}-\dfrac{4}{23}+\dfrac{16}{21}+\dfrac{1}{2}\)
\(=\left(\dfrac{27}{23}-\dfrac{4}{23}\right)+\left(\dfrac{5}{21}+\dfrac{16}{21}\right)+\dfrac{1}{2}\)
\(=1+1+\dfrac{1}{2}=\dfrac{5}{2}\)
c: \(\dfrac{-8}{9}+\dfrac{1}{9}\cdot\dfrac{2}{9}+\dfrac{1}{9}\cdot\dfrac{7}{9}\)
\(=\dfrac{-8}{9}+\dfrac{1}{9}\left(\dfrac{2}{9}+\dfrac{7}{9}\right)\)
\(=\dfrac{-8}{9}+\dfrac{1}{9}=\dfrac{-7}{9}\)
d: \(\dfrac{2}{\left(-3\right)^2}+\dfrac{5}{-12}-\dfrac{-3}{4}\)
\(=\dfrac{2}{9}-\dfrac{5}{12}+\dfrac{3}{4}\)
\(=\dfrac{8}{36}-\dfrac{15}{36}+\dfrac{27}{36}=\dfrac{19}{36}\)