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`M=(10^25+1)/(10^26+1)`
`=>10M=(10^26+10)/(10^26+1)=1+9/(10^26+1)``
`CMTT:10N=1+9/(10^27+1)`
Vì `1/(10^26+1)>1/(10^27+1)`
`=>9/(10^26+1)>9/(10^27+1)`
`=>1+9/(10^26+1)>1+9/(10^27+1)`
`=>10M>10N=>M>N`
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=10^{25}+\frac{1}{10^{26}}+1=1\cdot10^{25}\)
\(B=10^{26}+\frac{1}{10^{27}}+1=1\cdot10^{26}\)
\(1\cdot10^{25}< 1\cdot10^{26}\Rightarrow A< B\)
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Ta có : \(E=25\cdot30+10\)
\(E=750+10\Rightarrow E=760\)
\(F=31\cdot26-10\)
\(F=806-10\Rightarrow F=796\)
Do 760 < 796 nên E < F hoặc \(E=25\cdot30+10< F=31\cdot26-10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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a: -15/37>-25/37
b: -13/21=-26/42
-9/14=-27/42
mà -26>-42
nên -13/21>-9/14
c: -49/-63=7/9
56/80=7/10
=>-49/-63>56/80
d: 3/14=1-11/14
4/15=1-11/15
mà 11/14>11/15
nên 3/14<4/15
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\(a,\frac{2}{3}>\frac{1}{4}\)
\(b,\frac{7}{10}< \frac{7}{8}\)
\(c,\frac{6}{7}>\frac{3}{5}\)
\(d,\frac{14}{21}< \frac{60}{72}\)
\(e,\frac{16}{9}< \frac{24}{13}\)
\(g,\frac{27}{82}< \frac{26}{75}\)
a 2/3 > 1/4
b 7/10 < 7/8
c6/7 > 3/5
d14/21 < 60/72
e16/9 < 24/13
g27/82<26/75
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : 10A = 10^25 + 10/10^25 + 1 = 10^25 + 1 +9/10^25 + 1 = 10^25 + 1/10^25 + 1 + 9/10^25 + 1
= 1 + 9/10^25 + 1 > 1 ( 1 )
10B = 10^26 - 10/10^26 - 1 = 10^26 - 1 - 9/10^26 - 1 = 10^26 - 1/10^26 - 1 - 9/10^26 - 1
= 1 - 9/10^26 - 1 < 1 ( 2 )
Từ ( 1 ) và ( 2 ) => 1 + 9/10^25 + 1 > 1 > 1 - 9/10^26 - 1
=> 10A > 10B
=> A > B
Vậy PS A lớn hơn PS B.