tính bằng cách hợp lí:
a)5/3*4/7*3/5*7/8
b)2006*125+1000/126* 2005- 880
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a) (-1) + 2 + (-3) + 4 + .... + (-2009) + 2010
= (-1 + 2) + (-3 + 4) + ..... + (-2009 + 2010)
= -1 + (-1) + (-1) + .... + (-1)
= -1 . 1005 = -1005
b) 1 + (-2) + (-3) + 4 + 5 + (-6) + (-7) + 8 + ... + 2005 + (-2006) + (-2007) + 2008
= [1 + (-2) + (-3) + 4] + [5 + (-6) + (-7) + 8 ] + ..... + [2005 + (-2006) + (-2007) + 2008]
= 0 + 0 + ...... + 0 = 0
\(B=\frac{2006\cdot125+1000}{126\cdot2005-880}\)
= \(\frac{2005\cdot125+125+1000}{2005\cdot126-880}=\frac{2005\cdot125+1125}{2005\cdot126-880}\)
=\(\frac{2005\cdot125+1125}{2005\cdot125+125-880}=1,007523912\)
a: \(=\dfrac{3}{7}+\dfrac{7}{8}+\dfrac{4}{7}-\dfrac{15}{8}=1-1=0\)
b: \(=\dfrac{1}{2}+\dfrac{4}{5}+\dfrac{3}{8}-\dfrac{7}{40}+\dfrac{1}{2}\)
\(=1+\dfrac{32+15-7}{40}=1+1=2\)
( 1253 . 74 - 59 . 492 ) : 20052006
= [ ( 53 )3 . 74 - 59 . ( 72 )2 ] : 20052006
= [ 59 . 74 - 59 . 74 ] : 20052006
= 0 : 20052006
= 0
1:
a: \(=\dfrac{-4}{7}+\dfrac{4}{7}+\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=-\dfrac{1247}{1190}\)
b:
Sửa đề: \(\dfrac{-5}{13}+\dfrac{4}{19}+\dfrac{-8}{13}+\dfrac{15}{19}+\dfrac{45}{6}\)
\(=\dfrac{-5}{13}-\dfrac{8}{13}+\dfrac{4}{19}+\dfrac{15}{19}+\dfrac{45}{6}=\dfrac{9}{2}\)
\(\frac{2006\cdot125+1000}{126\cdot2005-888}=\frac{2005\cdot125+125+1000}{125\cdot2005+2005-888}=\frac{2005\cdot125+1125}{125\cdot2005+1117}\)
=> không tính nhanh được
a, 5/3*4/7*3/5*7/8
= (5/3*3/5)*(4/7*7/8)
= 1*1/2
=1/2
b, 2006*125+1000/126*2005-880
= (2005+1)*125+1000/126*2005-880
=2005*125+125+1000/126*2005-880
=2005*(125+1000/126)-880+125
=2005*8375/63-880+125
=266537,6984-880+125
=265657,6984+125
=265782,6984