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`(3737.43-4343.37)/(2+4+...+100)`
`= (101.37.43-101.43.37)/(2+4+...+100)`
`=0/(2+4+...+100) = 0`
\(A=\dfrac{101\cdot\dfrac{102}{2}}{\left(101-100\right)+99-98+...+3-2+1}\)
\(=\dfrac{101\cdot51}{1+1+...+1}=\dfrac{101\cdot51}{51}=101\)
\(B=\dfrac{37\cdot43\left(101-101\right)}{2+4+...+100}=0\)
a, \(A=\dfrac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
Ta có: \(T=101+100+99+98+...+3+2+1\) \(=\dfrac{\left(101+1\right).101}{2}\)
\(=\dfrac{102.101}{2}\Leftrightarrow51.101\)
\(M=101-100+99-98+...+3-2+1\)
Ta có: \(101:2=50\) (dư \(1\))
\(\Rightarrow M=\left(101-100\right)+\left(99-98\right)+...+\left(3-2\right)+1\)
Có \(50\) dấu ngoặc tròn "\(\left(\right)\)"
\(\Rightarrow M=1+1+...+1+1=51.1=51\)
\(M\) có \(51\) số \(1\)
\(\Rightarrow A=\dfrac{T}{M}=\dfrac{51.101}{51}=101\)
Vậy \(A=101\)
b, \(B=\dfrac{3737.43-4343.37}{2+4+6+...100}\)
Ta có: \(T=3737.43-4343.37\)
\(T=37.101.43-43.101.37\)
\(T=0\)
\(\Rightarrow\) \(B=\dfrac{T}{2+4+6+...+100}=\dfrac{0}{2+4+6+...+100}\) \(=0\)
Vậy \(B=0\)
ta có
3737 . 43 - 4343 . 37 = ( 3700 + 37) . 43 - (4300+43) . 37
= 3700 . 43 + 37 .43 - 4300 . 37 + 43 . 37
= 43 . 37 . ( 3700 . 43 - 4300 . 37)
= 1591 . (159100 - 159100)
= 1591 . 0
= 0
vậy \(\frac{3737.43-4343.37}{2+4+6+....+100}\)= 0
đap số 0
\(D=\frac{3737.43-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{37.101.43-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{37.4343-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{4343.\left(37-37\right)}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{4343.0}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{0}{2+4+6+...+100}\)
\(\Rightarrow D=0\)
Vậy D = 0
\(b=\frac{3737\cdot43-4343\cdot37}{2+4+6+...+100}=\frac{37\cdot101\cdot43-43\cdot101\cdot37}{2+4+6+...+100}=\frac{0}{2+4+6+...+100}=0\)
\(B=\frac{3737\cdot43-4343\cdot37}{2+4+6+...+100}=\frac{37\cdot101\cdot43-43\cdot101\cdot37}{2+4+6+...+100}=\frac{0}{2+4+6+...+100}=0\)
\(D=\frac{37.101.43-43.101.37}{2+4+6+..+100}=\frac{0}{2+4+...+100}=0\)
B=\(\frac{3737.43-4343.37}{2+4+6+...+100}\)=\(\frac{101.37.43-101.43.37}{2+4+6+...+100}\)=\(\frac{101\left(37.43-43.37\right)}{2+4+6+...+100}\)=\(\frac{0}{2+4+6+...+100}\)=0
\(B=\dfrac{3737.43-4343.37}{2+4+6+...+100}\)
\(=\dfrac{37.101.43-4343.37}{2+4+6+...+100}\)
\(=\dfrac{37.4343-4343.37}{2+4+6+...+100}\)
\(=\dfrac{0}{2+4+6+...+100}\)
\(=0\)