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x = 5 y = 36
( 18 / 21 + 3 / 21 ) + ( 19 / 32 + 13 / 32 ) + ( 75 / 100 + 1 / 4 )
= 1 + 1 + 1 = 3
2008/2009 > 2010/2011 ; 1999/2001 < 12/11 ;2007/2006> 2006/2007 ; 101/100 >100/101
1.
x = 5
y = 36
2.
( 18 / 21 + 3 / 21 ) + ( 19 / 32 + 13 / 32 ) + ( 75 / 100 + 1 / 4 ) = 1 + 1 + 1 = 3
3.
> ; < ; > ; >
a,2010x3+2010x6+2010
=2010x(3+6+1)
=2010x10
=20100
b,2011x111-10x2011-2011
=2011x(111-10-1)
=2011x100
=201100
a)2010 x 3 + 2010 x 6 +2010
=2010 x 3 + 2010 x 6 + 2010 x 1
=2010 x (3 + 6 + 1)
=2010 x 10
=20100
b)2011 x 111 - 10 x 2011 - 2011
=2011 x 111 - 10 x 2011 - 2011 x 1
=2011 x (111 - 10 -1)
=2011 x 100
=201100
A=B VÌ 2009 LỚN HƠN 2008 1 ĐƠN VỊ 2011 LỚN HƠN 2010 1 ĐƠN VỊ
chắc chắn là A > B
hãy ủng hộ mk bằng một niềm tin nhé
^ _ ^ hihi
Ta có \(A=\frac{2009}{2010}+\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}\)
=> \(A=\left(1-\frac{1}{2010}\right)+\left(1-\frac{1}{2011}\right)+\left(1-\frac{1}{2012}\right)+\left(1-\frac{1}{2013}\right)\)
\(\Rightarrow A=\left(1+1+1+1\right)-\left(\frac{1}{2010}+\frac{1}{2011}+\frac{1}{2012}+\frac{1}{2013}\right)\)
\(\Rightarrow A=4-\left(\frac{1}{2010}+\frac{1}{2011}+\frac{1}{2012}+\frac{1}{2013}\right)< 4=B\)
=> A < B
\(A=\frac{2011\times2012}{2011+2012}+\frac{2009\times2010}{2009+2010}\)
\(A=\frac{2011\times2011}{2011+2012}+\frac{2011}{2011+2012}+\frac{2010\times2010}{2009+2010}-\frac{2010}{2009+2010}\)
\(A=\frac{2011\times2011}{2011+2012}+\frac{2010\times2010}{2009+2010}+\frac{2011}{2011+2012}-\frac{2010}{2009+2010}\)
\(A=B+\frac{2011}{2011+2012}-\frac{2010}{2009+2010}\)
\(A=B+\frac{2011}{4023}-\frac{2010}{4019}\)
Dễ thấy \(\frac{2011}{4023}-\frac{2010}{4019}< 0\)
\(\Rightarrow A< B\)
a, 2010 x 3+ 2010 x 6 + 2010
= 2010 x ( 3 + 6 + 1)
= 2010 x 10
= 20100
b, 2011 x 89 + 10 x 2011 + 2011
= 2011 x (89 + 10 + 1)
= 2011 x 100
= 201100
a, 2011 x 3+ 2011 x 6 + 2011
= 2011 x ( 3+6+1)
= 2011 x 10
= 20110
b, 2010 x 89 + 10 x 2010 + 2010
= 2010 x (89+10+1)
= 2010 x 100
= 201000
A = 2011 x (2009 + 1) - 1/ 2011 x 2009 + 2010
A = 2011 x 2009 + 2011 x 1 - 1/2011 x 2009 + 2010
A = 2011 x 2009 + 2010/2011 x 2009 + 2010
A = 1
B.