Tính nhanh
2013 x 867 + 132 x 2013 + 2083
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64 x 867 + 867 x 36 - 30 x 867
= 867 x ( 64 + 36 - 30 )
= 867 x 70
= 60 690
\(64\times867+867\times36-30\times867\)
\(=867\times\left(64+24-30\right)\)
\(=867\times70\)
\(=60690\)
64 x 867 + 867 x 36 - 30 x 867
= 867 (64 + 36 - 30)
= 867 * 70
= 60690
a,2009x867+2009x133=2009x(867+133)=2009x1000=2009000
b,có vẻ sai đề.
8 x 427 x 3 + 6 x 573 x 4
= 8 x 3 x 427 + 6 x 4 x 573
= 24 x 427 + 24 x 573
= 24 x (427 + 573)
= 24 x 1000
= 24000
2008 x 867 + 2009 x 133
= 2008 x 867 + 2008 x 133 + 133
= 2008 x (867 + 133) + 133
= 2008 x 1000 + 133
= 2008133
\(\Leftrightarrow\dfrac{2032-x}{25}-1+\dfrac{2053-x}{23}-2+\dfrac{2070-x}{21}-3+\dfrac{2083-x}{19}-4=0\)
=>2007-x=0
hay x=2007
\(\dfrac{2032-x}{25}+\dfrac{2053-x}{23}+\dfrac{2070-x}{21}+\dfrac{2083-x}{19}=10\)
\(\Leftrightarrow\left(\dfrac{2032-x}{25}-1\right)+\left(\dfrac{2053-x}{23}-2\right)+\left(\dfrac{2070-x}{21}-3\right)+\left(\dfrac{2083-x}{19}-4\right)=0\)
\(\Leftrightarrow\dfrac{2032-x-25}{25}+\dfrac{2053-x-46}{23}+\dfrac{2070-x-63}{21}+\dfrac{2083-x-76}{19}=0\)
\(\Leftrightarrow\dfrac{2007-x}{25}+\dfrac{2007-x}{23}+\dfrac{2007-x}{21}+\dfrac{2007-x}{19}=0\)
\(\Leftrightarrow\left(2007-x\right)\left(\dfrac{1}{25}+\dfrac{1}{23}+\dfrac{1}{21}+\dfrac{1}{19}\right)=0\)
\(\Leftrightarrow2007-x=0\left(vì.\dfrac{1}{25}+\dfrac{1}{23}+\dfrac{1}{21}+\dfrac{1}{19}\ne0\right)\)
\(\Leftrightarrow x=2007\)
tui chỉ làm phần b thôi há !
B=\(\frac{3}{4}\)+\(\frac{27}{28}\)+\(\frac{69}{70}\)+...+\(\frac{867}{868}\)=\(\frac{4-1}{4}\)+\(\frac{28-1}{28}\)+\(\frac{70-1}{70}\)+...+\(\frac{868-1}{868}\)
= 1+1+..+1 -(\(\frac{1}{4}\)+\(\frac{1}{28}\)+\(\frac{1}{70}\)+...+\(\frac{1}{868}\)) = 10 - \(\frac{1}{3}\)(\(\frac{3}{1.4}\)+\(\frac{3}{4.7}\)+\(\frac{3}{7.10}\)+...+\(\frac{3}{28.31}\))
=10-\(\frac{1}{3}\)(1-\(\frac{1}{4}\)+\(\frac{1}{4}\)-\(\frac{1}{7}\)+\(\frac{1}{7}\)-\(\frac{1}{10}\)+...+\(\frac{1}{28}\)-\(\frac{1}{30}\))=10-\(\frac{1}{3}\)(1-\(\frac{1}{30}\))=10-\(\frac{1}{3}\).\(\frac{29}{30}\)=10-\(\frac{29}{30}\)=\(\frac{271}{30}\)
\(1994x867+1995x133\)
\(=1994x867+\left(1994+1\right)x133\)
\(=1994x867+1994x133+133\)
\(=1994x\left(867+133\right)+133\)
\(=1994x1000+133\)
\(=1994000+133\)
\(=1994333\)
Chúc bạn học tốt !!!!
1994 x 867 + 1995 x 133
= 1994 x 867 + ( 1994 + 1 ) x 133
= 1994 x 867 + 1994 x 133 + 133
= 1994 x ( 867+133) + 133
= 1994 x 1000 + 133
= 1994000+ 133
= 1994133
\(1994\times867+1995\times133\)
\(=1994\times867+1994\times133+133\)
\(=1994\times\left(867+133\right)+133\)
\(=1994\times1000+133\)
\(=1994000+133\)
\(=1994133\)
2013 x 867 + 132 x 2013 + 2083
= 2013 x 867 + 132 x 867 + 2013 + 70
= 2013 x ( 867 + 132 + 1 ) + 70
= 2013 x 1000 + 70
= 2013070
2013 x 867 + 132 x 2013 + 2013 + 70
= 2013 ( 867 + 132 + 1 ) + 70
= 2013 x 1000 + 70
= 2013070
hok tốt