gọi biểu thức trên là A.
\(B=\frac{377\cdot733+722}{379\cdot733-744}\)
\(=\frac{377\cdot733+722}{377\cdot733+733\cdot2-744}\)
\(=\frac{377\cdot733+722}{377\cdot733+\left(733\cdot2-744\right)}=\frac{377\cdot733+722}{377\cdot733+722}\)
= 1
\(\Rightarrow A=1+3\cdot\left(-4\right)^3-5\cdot\left(-2\right)^5\)
= 1+ (-192) - (-160)
= -31
BT1: Rút gọn
1) \(\frac{377.733+722}{379.733-744}\)
Tính
\(P=\dfrac{2010.2011-1}{2010^2+2009}+\dfrac{744-379.733}{377.733+722}\)
Rút gọn :
a) \(\frac{579.933-944}{577.933+922}\)
b) \(\frac{377.733+722}{379.733-744}\)
BT2: Tính nhanh
1) \(\left(13\dfrac{3}{5}+4\dfrac{3}{4}\right)-8\dfrac{3}{5}\)
2) \(\left(8\dfrac{5}{11}+3\dfrac{5}{8}\right)-3\dfrac{5}{11}\)
BT2: Tính nhanh
5) \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
6) \(\left(\dfrac{5}{7}-\dfrac{7}{5}\right)-\left[\dfrac{1}{2}-\left(-\dfrac{2}{7}-\dfrac{1}{10}\right)\right]\)
BT2: Tính nhanh
7) \(\left(-\dfrac{1}{2}\right)-\left(-\dfrac{3}{5}\right)+\left(-\dfrac{1}{9}\right)+\dfrac{1}{71}-\left(-\dfrac{2}{7}\right)+\dfrac{4}{35}-\dfrac{7}{18}\)
8)\(\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)-\left(5-\dfrac{1}{3}-\dfrac{6}{5}\right)-\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\)
BT2: Tính:
2) \(\frac{124.237+152}{870+235.122}\) + 10\(^3\) - 5 . (-3)\(^3\)
tính hợp lí ( nếu có thể )
\(\frac{1}{3}.\frac{-6}{13}.\frac{-9}{10}.\frac{-13}{36}\)
\(\frac{-1}{3}.\frac{-15}{17}.\frac{34}{45}\)
\(\left(1-\frac{1}{5}\right).\left(\frac{-3}{10}+\frac{1}{5}\right)\)
\(A=\frac{1}{3}\times\frac{4}{5}+\frac{1}{3}\times\frac{6}{5}+\frac{2}{3}\)
\(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)
Tính: \(A=\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+\frac{1}{1+2+3+4+5}\)