1,tính
a,371.65+371.25+371.10
b,2009.20102010-2010.20092009+2.7.8.9-12.21.4
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\(A=6.34.8+24.2.45+12.21.4\)
\(A=48.34+48.45+48.21\)
\(A=48.\left(34+45+21\right)\)
\(A=48.100\)
\(A=4800\)
a) 6 x 34 x 8 + 24 x 2 x 45 + 12 x 21 x 4
= 48 x 34 + 48 x 45 + 48 x 21
= 48 x ( 34 + 45 + 21 )
= 48 x 100
= 4800
b) 45 x 16 + 55 x 17
= 5 x 9 x 16 + 5 x 11 x 17
= 5 x 144 + 5 x 187
= 5 x ( 144 + 187 )
= 5 x 331
= 1655
\(A=\frac{2009.2010-2}{2008+2008.2010}=\frac{\left(2008+1\right).2010-2}{2008+2008.2010}\)
\(=\frac{2008.2010+2010-2}{2008+2008.2010}=\frac{2008.2010+2008}{2008+2008.2010}=1\)
\(B=\frac{-2009.20102010}{20092009.2010}=\frac{-2009.2010.10001}{2009.10001.2010}=-1\)
Vậy A + B = 1 + (-1) = 0
\(A=\frac{2009.2010-2}{2008+2008.2010}=\frac{\left(2008+1\right).2010-2}{2008+2008.2010}\)
\(=\frac{2008.2010+2010-2}{2008+2008.2010}=\frac{2008.2010+2008}{2008+2008.2010}=1\)
\(B=\frac{-2009.20102010}{20092009.2010}=\frac{-2009.2010.10001}{2009.10001.2010}\)
Vậy A + B = 1 + (-1) = 0
Ta có : \(A=\frac{2009.2010-2}{2008+2008.2010}>0\)
\(B=\frac{-2009.20102010}{20092009.2010}< 0\)
Nên A > B
Ta có :
\(A=\frac{2009.2010-2}{2008+2008.2010}\)
\(A=\frac{\left(2008+1\right).2010-2}{2008.\left(1+2010\right)}=\frac{2008.2010+2008}{2008.2011}\)
\(A=\frac{2008.\left(1+2010\right)}{2008.2011}=\frac{2008.2011}{2008.2011}=1\)
\(B=\frac{-2009.20102010}{20092009.2010}=\frac{\left(-2009\right).2010.10001}{2009.10001.2010}=\frac{-2009}{2009}=-1\)
Vậy \(A+B=1+\left(-1\right)=0\)
A = \(\frac{2009.2010-2}{2008+2008.2010}=\frac{2009.2010-2}{2008.\left(2010+1\right)}=\frac{2009.2010-2}{2008.2011}=\frac{2008.2010+2010-2}{2008.2011}=\frac{2008.2011}{2008.2011}=1\)
B = \(\frac{-2009.20102010}{20092009.2010}=\frac{-2009.10001.2010}{2009.10001.2010}=-1\)
1 > -1 => A > B
Ta có:
\(A=\frac{2009.2010-2}{2008+2008.2010}\)
\(A=\frac{\left(2008+1\right).2010-2}{2008+2008.2010}\)
\(A=\frac{2008.2010+2010-2}{2008+2008.2010}\)
\(A=\frac{2008.2010+2008}{2008+2008.2010}\)
\(A=1\)
\(B=\frac{-2009.20102010}{20092009.2010}\)
\(B=\frac{-2009.2010.10001}{2009.10001.2010}\)
\(B=-1\)
Vì \(1>-1\Rightarrow A>B\)
Vậy \(A>B\)