tính nhanh
0.01+1.11+1.21+......+2.01
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A=20/1.21+20/2.22+...+20/80.100
=1-1/21+1/2-1/22+...+1/80-1/100
=(1+1/2+...+1/80)-(1/21+1/22+...+1/100)
80B=80/1.81+80/2.82+...+8/20.100
=1-1/81+1/2-1/82+...+1/20-1/100
=(1+1/2+...+1/20)-(1/81+1/82+...+1/100)
=(1+1/2+1/3+...+1/20+1/21+1/22+...+1/80)-(1/21+1/22+...1/80+1/81+1/82+...1/100)
=>20A=80B
=>A=4B
a) -3/7 + 5/13 + -4/7
= ( -3/7 + -4/7 ) + 5/13
= -7/7 +5/13
= -1 + 5/13
= -13/13 + 5/13
= -8/13
b) -5/21 + -2/21 + 8/24
= -7/21 + 8/24
= -1/3 + 1/3
= 0
a) \(\frac{-3}{7}+\frac{5}{13}+\frac{-4}{7}\)
\(=\left(\frac{-3}{7}+\frac{-4}{7}\right)+\frac{5}{13}\)
\(=\left(-1\right)+\frac{5}{13}\)
\(=-1\frac{5}{13}\)
b) \(\frac{-5}{21}+\frac{-2}{21}+\frac{8}{24}\)
\(=\left(\frac{-5}{21}+\frac{-2}{21}\right)+\frac{1}{3}\)
\(=\frac{-1}{3}+\frac{1}{3}\)
\(=0\)
A=20/1.21+20/2.22+...+20/80.100
=1-1/21+1/2-1/22+...+1/80-1/100
=(1+1/2+...+1/80)-(1/21+1/22+...+1/100)
80B=80/1.81+80/2.82+...+8/20.100
=1-1/81+1/2-1/82+...+1/20-1/100
=(1+1/2+...+1/20)-(1/81+1/82+...+1/100)
=(1+1/2+1/3+...+1/20+1/21+1/22+...+1/80)-(1/21+1/22+...1/80+1/81+1/82+...1/100)
=>20A=80B
=>A=4B
Đặt \(A=1.1-1.11+1.12-1.13+...-1.97+1.98=0.1-0.11+0.12-0.13+...-0.97+1.98\)
\(100A=10-11+12-13+...+96-97+198=198-44=154\Rightarrow A=1.54\)