(''/''= phần ''*''= mũ)
so sánh A với B biết
A= 10*15 + 1/10*16+1
B=10*16+1/10*17+1
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
TRƯỚC TIÊN TA SO SÁNH 10 VỚI 10B
10A=10^16+10/10^16+1=1\(\frac{9}{16+1}\)
10B=10^17+10/10+17+1=1\(\frac{9}{17+1}\)
VÌ 9/16+1>9/17+1
=>10A>10B
=>A>B
AI TÍCH MK ;MK TÍCH LẠI
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
10A=1016+10/1016+1=1+(9/1016+1)
10B=1017+10/1017+1=1+(9/1017+1)
Vì 9/1016+1 > 9/1017+1 nên 10A>10B,do đó A>B
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
A=10^15+1/10^16+1
=>10A=1+9/10^16+1
B=10^16+1/10^17+1
=>10B=1+9/10^17+1
=>10A>10B=>A>B
Vậy:A>B
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
10A=1016+10/1016+1=1+(9/1016+1)
10B=1017+10/1017+1=1+(9/1017+1)
Vì 9/1016+1 > 9/1017+1 nên 10A>10B,do đó A>B
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{10^{15}+1}{10^{16}+1}\)
\(\Rightarrow10A=\frac{10^{16}+10}{10^{16}+1}=\frac{\left(10^{16}+1\right)+9}{10^{16}+1}=1+\frac{9}{10^{16}+1}\)
\(A=\frac{10^{16}+1}{10^{17}+1}\)
\(\Rightarrow10B=\frac{10^{17}+10}{10^{17}+1}=\frac{\left(10^{17}+1\right)+9}{10^{17}+1}=1+\frac{9}{10^{17}+1}\)
Vì \(\frac{9}{10^{16}+1}>\frac{9}{10^{17}+1}\left(Do10^{16}+1< 10^{17}+1\right)\)
\(\Rightarrow10A>10B\)
\(\Rightarrow A>B\)
Ta có :
\(A=\frac{10^{15}+1}{10^{16}+1}=\frac{\left(10^{15}+1\right).10}{\left(10^{16}+1\right).10}=\frac{10^{16}+10}{10^{17}+10}\)
\(\Rightarrow A=\frac{10^{16}+1+9}{10^{17}+1+9}\)
Vì \(\frac{10^{16}+1}{10^{17}+1}< \frac{10^{16}+1+9}{10^{17}+1+9}\)
Mà \(A=\frac{10^{16}+1+9}{10^{17}+1+9}\)nên \(A>B\)
Vậy \(A>B\)
thank kiu bạn