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Đặt biểu thức trên là C
\(\Rightarrow\)\(C=\frac{1}{100}-\frac{1}{99.98}-...-\frac{1}{3.2}-\frac{1}{2.1}\)
\(C=\frac{1}{100}-\frac{1}{99}-\frac{1}{98}-...-\frac{1}{3}-\frac{1}{2}-\frac{1}{2}-\frac{1}{1}\)
\(C=\frac{1}{100}-\frac{1}{99}-1\)
a: \(=\dfrac{216+3\cdot36+27}{13}=\dfrac{351}{13}=27\)
b: \(=\dfrac{1140-200-40}{9}+3^4=900+81=981\)
\(\dfrac{-5}{9}\cdot\dfrac{2}{13}+\dfrac{-5}{9}\cdot\dfrac{11}{13}+\dfrac{5}{9}\)
\(=\dfrac{5}{9}\cdot\dfrac{-2}{13}+\dfrac{5}{9}\cdot\dfrac{-11}{13}+\dfrac{5}{9}\)
\(=\dfrac{5}{9}\left(\dfrac{-2}{13}+\dfrac{-11}{13}+1\right)\)
\(=\dfrac{5}{9}\left(-1+1\right)\)
\(=\dfrac{5}{9}\cdot0\)
\(=0\)
tính
28.112-28.12+31
=28.(112-12)+31
=28.100+31
=2800+31
=2831
tim x
42 + 2(x-7) =128
2(x-7)=86
x-7=43
x=50
\(\frac{2}{10}x+\frac{3}{10}x=2,5\)
\(\frac{2}{10}x+\frac{3}{10}x=\frac{5}{2}\)
\(x\cdot\left(\frac{2}{10}+\frac{3}{10}\right)=\frac{5}{2}\)
\(x\cdot\frac{1}{2}=\frac{5}{2}\)
\(x=\frac{5}{2}:\frac{1}{2}\)
\(x=\frac{5}{2}\cdot\frac{2}{1}\)
\(x=5\)
\(\frac{2}{5}.\frac{1}{x}+\frac{1}{x}.2+\frac{2}{5}=0,5\)
\(\Rightarrow\frac{2}{5x}+\frac{2}{x}+\frac{2}{5}=\frac{1}{2}\)
\(\Rightarrow2.\left(\frac{1}{5x}+\frac{1}{x}+\frac{1}{5}\right)=\frac{1}{2}\)
\(\Rightarrow\frac{1}{5x}+\frac{5}{5x}+\frac{x}{5x}=\frac{1}{2}:2=\frac{1}{4}\)
\(\Rightarrow\frac{1+5+x}{5x}=\frac{1}{4}\)
\(\Rightarrow4.\left(1+5+x\right)=5x\)
\(\Rightarrow4+20+4x=5x\)
\(\Rightarrow24+4x=5x\)
\(\Rightarrow5x-4x=24\)
\(\Rightarrow x=24\)
5.3.37.4+5.24.21+21.5.12
= 5.(3.37.4+24.21+21.12)
= 5.1200
= 6000
15 . 37 . 4 + 120 . 21 + 21 . 5 . 12
= 15 . 4 . 37 + 21 ( 120 + 5 . 12 )
= 60 . 37 + 21 ( 120 + 60 )
= 2220 + 21 . 180
= 2220 + 3780
= 6000
5.3.37.4+5.24.21+21.5.12
= 5.(3.37.4+24.21+21.12)
= 5.1200
= 6000