tinh nhanh
1/9-1/3-2/3+8/9
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Đặt A=1x3+3x5+5x7+7x9+...+99x101
6A=6x(1x3+3x5+5x7+7x9+...+99x101)
6A=1x3x6+3x5x6+5x7x6+7x9x6+...+99x101x6
6A=1x3x(5+1)+3x5x(7-1)+5x7x(9-3)+7x9x(11-5)+...+99x101x(103-97)
6A=1x3x5+1x3+3x5x7-3x5+5x7x9-3x5x7+7x9x11-5x7x9+...+99x101x103-99x101x97
6A=3+99x101x103
=>A=\(\frac{\text{3+99x101x103}}{6}\)
\(\dfrac{1}{7}\times\dfrac{21}{8}-\dfrac{3}{8}\times\dfrac{1}{7}-\dfrac{1}{7}\times\dfrac{2}{8}\\ =\dfrac{1}{7}\times\left(\dfrac{21}{8}-\dfrac{3}{8}-\dfrac{2}{8}\right)\\ =\dfrac{1}{7}\times\dfrac{16}{8}\\ =\dfrac{1}{7}\times2\\ =\dfrac{2}{7}\)
\(\dfrac{1}{7}\times\dfrac{21}{8}-\dfrac{3}{8}\times\dfrac{1}{7}-\dfrac{1}{7}\times\dfrac{2}{8}\)
=\(\dfrac{1}{7}\times\left(\dfrac{21}{8}-\dfrac{3}{8}-\dfrac{2}{8}\right)\)
=\(\dfrac{1}{7}\times2\)
=\(\dfrac{2}{7}\)
1 + 9 + 2 + 8 + 3 + 7 + 4 + 6 + 5 + 5 + 6 + 4 + 7 + 3 + 8 + 2 + 9 + 1
= 10 + 10 + 10 +10 +10 + 10 + 10 + 10 + 10
= 10 x 9
= 90
1.
\(\frac{3}{5}+\left\{\frac{2}{8}+\frac{2}{5}+\frac{6}{8}\right\}\)
\(=\frac{3}{5}+\left(\frac{10}{40}+\frac{36}{40}+\frac{30}{40}\right)\)
\(=\frac{3}{5}+\frac{76}{40}\)
\(=\frac{24}{40}+\frac{76}{40}\)
\(=\frac{100}{40}=\frac{5}{2}\)
2.
\(3\frac{2}{9}-\left\{1\frac{5}{8}+1\frac{2}{9}\right\}\)
\(=\frac{29}{9}-\left\{\frac{13}{8}+\frac{11}{9}\right\}\)
\(=\frac{29}{9}-\left\{\frac{117}{72}+\frac{88}{72}\right\}\)
\(=\frac{29}{9}-\frac{205}{72}\)
\(=\frac{232}{72}-\frac{205}{72}\)
Chúc cậu học tốt !!!
\(=\frac{27}{72}=\frac{3}{8}\)
a) 3/5x7/8:10/9=21/40:10/9=189/400
b) 3 2/7x2 1/4:1 2/5=23/7x9/4:7/5=207/28:7/5=1035/196
c) 6/9+24/15+12/9+6/15=34/15+12/9+6/15=18/5+6/15=4
d) 3 2/9-( 1 5/8+1 2/9 )=29/9-(13/8+11/9)=29/9-205/72=3/8
Đặt S = 1 x 2 + 2 x 3 + ..... + 9 x 10
3S = 1 x 2 x (3-0) + 2 x 3 x (4 - 1) + ....... + 9 x 10 x (11 - 8)
3S = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + ......... + 9 x 10 x 11 - 8 x 9 x 10
3S = ( 1 x 2 x 3 -1 x 2 x 3) + ( 2 x 3 x4 - 2 x 3 x 4) + ..... + (8 x 9 x 10 - 8 x 9 x 10) + 9 x 10 x 11
3S = 9 x 10 x 11 = 990
S = 990 : 3 = 330
A=1/1*2+1/2*3+...+1/9*10
=1-1/2+1/2-1/3+...+1/9-1/10
=(1-1/10)+(1/2-1/2)+...+(1/9-1/9)
=(10/10-1/10)+0+...+0=9/10
1/9 - 1/3 - 2/3 + 8/9
= (1/9+8/9) - (1/3+2/3)
= 1 - 1
=0
Vay ket qua la 0. cho y kien voi , neu dung thi k cho minh voi
1/9-1/3-2/3+8/9=(1/9+8/9)-(1/3+2/3)=1-1=0