So sánh : 6771 x 8330 & 6770 x 8331
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A = 6771 x (8771 - 1) = 6771 x 8771 - 6771
B = (6771 - 1) x 8771 = 6771 x 8771 - 8771
Vì 6771 < 8771 nên 6771 x 8771 - 6771 > 6771 x 8771 - 8771 => A > B
bài làm
A = 6771 x (8771 - 1)
= 6771 x 8771 - 6771
B = (6771 - 1) x 8771
= 6771 x 8771 - 8771
Do 6771 < 8771 nên
6771 x 8771 - 6771 > 6771 x 8771 - 8771
=> A > B
=> Đpcm
hok tốt
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\(a+692\cdot3-51=1965\)
\(a+2076-51=1965\)
\(a+2076=2016\)
\(a=-60\)
\(\frac{b}{5}\cdot8+6769=6771\)
\(\frac{8b}{5}=2\)
\(8b=10\)
\(b=\frac{5}{4}\)
\(c-61582+55=31073\)
\(c-61582=31018\)
\(c=92600\)
\(x-\left(6954\cdot65-6854+6754-1528\right)=102548\)
\(x-450382=102548\)
\(x=552930\)
\(\frac{1100}{y}\cdot101=2525\)
\(\frac{1100}{y}=25\)
\(y=44\)
\(1987536-58\cdot z=1978082\)
\(58z=9454\)
\(z=163\)
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a: 43/52>26/52=1/2=60/120
b: 17/68=1/4<1/3=35/105<35/103
c: \(\dfrac{2018\cdot2019-1}{2018\cdot2019}=1-\dfrac{1}{2018\cdot2019}\)
\(\dfrac{2019\cdot2020-1}{2019\cdot2020}=1-\dfrac{1}{2019\cdot2020}\)
2018*2019<2019*2020
=>-1/2018*2019<-1/2019*2020
=>\(\dfrac{2018\cdot2019-1}{2018\cdot2019}< \dfrac{2019\cdot2020-1}{2019\cdot2020}\)
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\(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+199\right)+\left(x+200\right)=200\)
\(\Leftrightarrow200x+\left(1+2+3+..+200\right)=200\)
\(\Leftrightarrow200x+\dfrac{\left(200+1\right).200}{2}=200\)
\(\Leftrightarrow200x+20100=200\)
\(\Leftrightarrow200x=-19900\)
\(\Leftrightarrow x=-99,5\)
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\(B=\left(1-\frac{1}{4}\right)\left(1-\frac{1}{9}\right)...\left(1-\frac{1}{81}\right)\left(1-\frac{1}{100}\right)\)
\(B=\frac{3}{4}\cdot\frac{8}{9}\cdot...\cdot\frac{80}{81}\cdot\frac{99}{100}\)
\(B=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot...\cdot\frac{8.10}{9.9}\cdot\frac{9.11}{10.10}\)
\(B=\frac{\left(1\cdot2\cdot...\cdot8\cdot9\right).\left(3\cdot4\cdot...\cdot10\cdot11\right)}{\left(2\cdot3\cdot..\cdot9\cdot10\right).\left(2\cdot3\cdot...\cdot9\cdot10\right)}\)
\(B=\frac{1\cdot2\cdot...\cdot8\cdot9}{2\cdot3\cdot...\cdot9\cdot10}\cdot\frac{3\cdot4\cdot...\cdot10\cdot11}{2\cdot3\cdot...\cdot9\cdot10}\)
\(B=\frac{1}{10}\cdot\frac{11}{2}=\frac{11}{20}\)
Vì 20 < 21 nên 11/20 > 11/21
Vậy .....
bạn vào link này nè:https://olm.vn/hoi-dap/question/980572.html
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a) Có vẻ đề o đúng lắm . Theo mình o phải là 11/11 mà 1/11
Ta có \(\frac{1}{11}>\frac{1}{12}>\frac{1}{13}>...>\frac{1}{19}>\frac{1}{20}\)
\(\Rightarrow\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+...+\frac{1}{19}+\frac{1}{20}>\frac{1}{20}+\frac{1}{20}+\frac{1}{20}+...+\frac{1}{20}=\frac{10}{20}=\frac{1}{2}\)
hay \(S>\frac{1}{2}\)
b)Ta có 1998 x 1999 + 3997=(2000-2) x 1999 +3997 = 2000 x 1999 - 2 x 1999 +3997 = 1999 x 2000 -3998 +3997 =1999 x 2000 -1
< 1999 x 2000 +2
=> 1999 x 2000 +2 / 1998 x 1999 +3997 > 1 hay M>1
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Ta có : x< y hay a/m <b/m \(\Rightarrow\)a<b
So sánh X, Y ,Z ta chuyển chúng cùng mẫu : 2
mà a<b
Suy ra : a+a<b+a
Hay 2a < a+b
Suy ra x<z (1)
Mà a<b
Suy ra a+b<b+b
Hay a+b< 2b
Suy ra Z<y (2)
Từ (1) và (2) kết luận x < z<y
Tích nha Bạn
ta có : 6771*8330=(6770+1)*8331=6770*8331+8331
6770*8331=6770*(8330+1)=6770*8330+6770
vậy 6771*8330>6770*8331