tính nhanh
\(8\times2010\times125-2009\times437-2009\times563\)
\(\frac{2009\times2010-1}{2008\times2010+2009}\)
\(\frac{2009\cdot2010-1}{2008\cdot2010+2009}=\frac{2008\cdot2010+2010-1}{2008\cdot2010+2009}=\frac{2008\cdot2010+2009}{2008\cdot2010+2009}=1\)
\(\frac{\left(2008+1\right).2010-1}{2008.2010+2009}=\frac{2008.2010+2010-1}{2008.2010+2009}\)\(=\frac{2008.2010+2009}{2008.2010+2009}=1\)
Tính nhanh
\(\frac{2010\times125+1000}{126\times2010-1010}=\)
=\(\frac{2010x125+1000}{\left(125+1\right)x2010-1010}=\frac{2010x125+1000}{125x2010+2010-1010}=\frac{2010x125+1000}{2010x125+100}=1\)
k nha bạn
\(\dfrac{2011-6033\div\left(y-2010\right)}{2009\times2010\times2013}\)
so sánh già trị các biểu thức sau
\(A=\frac{2011\times2012}{2011+2012}+\frac{2009\times2010}{2009+2010}\)
\(B=\frac{2011\times2011}{2011+2012}+\frac{2010\times2010}{2009+2010}\)
\(A=\frac{2011\times2012}{2011+2012}+\frac{2009\times2010}{2009+2010}\)
\(A=\frac{2011\times2011}{2011+2012}+\frac{2011}{2011+2012}+\frac{2010\times2010}{2009+2010}-\frac{2010}{2009+2010}\)
\(A=\frac{2011\times2011}{2011+2012}+\frac{2010\times2010}{2009+2010}+\frac{2011}{2011+2012}-\frac{2010}{2009+2010}\)
\(A=B+\frac{2011}{2011+2012}-\frac{2010}{2009+2010}\)
\(A=B+\frac{2011}{4023}-\frac{2010}{4019}\)
Dễ thấy \(\frac{2011}{4023}-\frac{2010}{4019}< 0\)
\(\Rightarrow A< B\)
Tìm \(x\):
\(\left(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+.....\frac{1}{2009\times2010}\right)\times x=2009\)
\(\left(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+....+\frac{1}{2009\cdot2010}\right)\cdot x=2009\)
\(\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2009}-\frac{1}{2010}\right)\cdot x=2009\)
\(\left(1-\frac{1}{2010}\right)\cdot x=2009\)
\(\frac{2009}{2010}\cdot x=2009\)
\(x=2009:\frac{2009}{2010}\)
\(x=2010\)
\(\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}+....+\frac{1}{2009}-\frac{1}{2010}\right).x=2009\)
\(\left(\frac{1}{1}-\frac{1}{2010}\right).x=2009\)
\(\frac{2009}{2010}.x=2009\)
\(x=2009:\frac{2009}{2010}\)
\(x=2010\)
Bài 7: Tính nhanh:
Bài 8: Cho A = 2009 x 425 và B = 575 x 2009. Không tính A và B, em hãy tính nhanh kết quả của A + B?
dễ thật nên tui đố mọi người đó
2 tính nhanh
a) Tính tổng tất cả các số nguyên x biết |x|<8
b) 2009+[312+(-2009)+(-312)]
a)|x|<8
=>|x| E {0;1;2;3;4;5;;6;7}
=>x E {0;-1;1-2;2;-3;3;-4;4;-5;5;-6;6;-7;7}
b)2009+[312+(-2009)+(-312)]
=2009+312+(-2009)+(-312)
=[2009+(-2009)]+[312+(-312)]=0+0=0
tick đi
Tính nhanh:
a,1/2009+2/2009+3/2009+......2008/2009
b,2010*2010*20092009-2009*2009*20102010/2009*20052005
a, \(\frac{1}{2009}+\frac{2}{2009}+...+\frac{2008}{2009}\\ \frac{\left(1+2008\right)\cdot2008\div2}{2009}=\frac{2017036}{2009}\)
tính nhanh A=2009/1.2+2009/2.3+2009/3.4+.............+2009/2008.2009