tinh nhanh :
7/8+1/8x3/8+1/8x5/8
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5-1+4=8
9+3-7=5
40:8x5=25
6x4:8=3
Chúc em học giỏi nha!!!
K cho chị vs nhé cao nữ minh trang
tổng quát: \(\frac{1}{n.\left(n+1\right)}=\frac{1}{n}-\frac{1}{n+1}\)
Ta có: \(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{3}-\frac{1}{10}=\frac{10}{30}-\frac{3}{30}=\frac{7}{30}\)
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
(45+24-55+76)x(1/5+7/8+7/3+5/7+8/7)
=(45+55-24+76)x(1/5+7/8+7/3+5/7+8/7)
=0 x (1/5+7/8+7/3+5/7+8/7)
=0
3-2 + 7 x 5-1 + 7 + 7 + 8 + 8 + 9
= 1 + 35 - 1 + 14 + 16 + 9
= 10 + 35 - 1 + 30
= 40 + 35 - 1 = 74
Chuẩn không dùng máy tính nhóe
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
`-5/8xx5/12+5/8xx(-7/12)+17/8`
`=5/8xx(-5/12)+5/8xx(-7/12)+17/8`
`=5/8xx(-5/12-7/12)+17/8`
`=5/8xx(-12)/12+17/8`
`=5/8xx(-1)+17/8`
`=-5/8+17/8`
`=12/8=3/2`
\(-\dfrac{5}{8}\cdot\dfrac{5}{12}+\dfrac{5}{8}\cdot\left(-\dfrac{7}{12}\right)+\dfrac{17}{8}\)
\(=-\dfrac{5}{8}\cdot\dfrac{5}{12}+-\dfrac{5}{8}\cdot\dfrac{7}{12}+\dfrac{17}{8}\)
\(=-\dfrac{5}{8}\left(\dfrac{5}{12}+\dfrac{7}{12}\right)+\dfrac{17}{8}\)
\(=-\dfrac{5}{8}\cdot1+\dfrac{17}{8}\)
\(=-\dfrac{5}{8}+\dfrac{17}{8}\)
\(=\dfrac{12}{8}=\dfrac{3}{2}\)
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
\(\frac{7}{8}+\frac{1}{8}\times\frac{3}{8}+\frac{1}{8}\times\frac{5}{8}=\frac{7}{8}+\frac{1}{8}\times\left(\frac{3}{8}+\frac{5}{8}\right)=\frac{7}{8}+\frac{1}{8}\times1\)
\(=\frac{7}{8}+\frac{1}{8}=1\)
=1/8 x ( 7/8 +5/8)
= ...
ban tu lam not nha