10^8 +1 / 10^9 + 1 và 10^9 +1/ 10^10 +1
Số ?
2 = 1 + ... 6 = 2 + ... 8 = ...+ 3 10 = 8 + ....
3 = 1 + ... 6 =...+ 3 8 = 4 + .... 10 = ...+ 3
4 = ...+ 1 7 = 1 + ... 9 = ...+ 1 10 = 6 + ...
4 = 2 + ... 7 = ...+ 2 9 = ...+ 3 10 = ...+ 5
5 = ...+ 1 7 = 4 + .... 9 = 7 +.... 10 = 10 + ...
5 = 3 +.... 8 = ...+ 1 9 = 5 + ... 10 = 0 + .....
6 = ...+ 1 8 = 6 + ... 10 = ...+ 1 1 = 1 + ....
2 = 1 + 1 6 = 2 + 4 8 = 5 + 3 10 = 8 + 2
3 = 1 + 2 6 = 3 + 3 8 = 4 + 4 10 = 7 + 3
4 = 3 + 1 7 = 1 + 6 9 = 8 + 1 10 = 6 + 4
4 = 2 + 2 7 = 5 + 2 9 = 6+ 3 10 = 5 + 5
5 = 4 + 1 7 = 4 + 3 9 = 7 + 2 10 = 10 + 0
5 = 3 + 2 8 = 7 + 1 9 = 5 + 4 10 = 0 + 10
6 = 5 + 1 8 = 6 + 2 10 = 9 + 1 1 = 1 + 0
Tiếng việt khó .
10^10+1/10^3+1 và 10^9+1/10^8+1
\(10^{10}+\frac{1}{10}^{10}=10^{10}\)
\(10^9+\frac{1}{10}^8+1=10^9+1\)
\(10^{10}>10^9+1\)
So sánh :
\(\frac{10^8+1}{10^9+1}và\frac{10^9+1}{10^{10}+1}\)
\(A=\frac{10^8+1}{10^9+1}=\frac{1}{10}\left(\frac{10^9+10}{10^9+1}\right)=\frac{1}{10}\left(1+\frac{9}{10^9+1}\right)\)
\(B=\frac{10^9+1}{10^{10}+1}=\frac{1}{10}\left(\frac{10^{10}+10}{10^{10}+1}\right)=\frac{1}{10}\left(1+\frac{9}{10^{10}+1}\right)\)
\(\frac{9}{10^9+1}>\frac{9}{10^{10}+1}\)
\(\Rightarrow A>B\)
Đặt \(M=\frac{10^8+1}{10^9+1}\) và \(N=\frac{10^9+1}{10^{10}+1}\)
Có : \(M=\frac{10^8+1}{10^9+1}\)
\(\Rightarrow10M=\frac{10^9+10}{10^9+1}=\frac{10^9+1+9}{10^9+1}=1+\frac{9}{10^9+1}\)
Lại có : \(N=\frac{10^9+1}{10^{10}+1}\)
\(\Rightarrow10N=\frac{10^{10}+10}{10^{10}+1}=\frac{10^{10}+1+9}{10^{10}+1}=1+\frac{9}{10^{10}+1}\)
Vì \(\frac{9}{10^9+1}>\frac{9}{10^{10}+1}\) nên \(1+\frac{9}{10^9+1}>1+\frac{9}{10^{10}+1}\)
\(\Rightarrow10M>10N\Rightarrow M>N\)
Vậy M > N.
Tính:
8 + 2 = … | 9 + 1 = … | 7 + 3 = … | 5 + 5 = … |
2 + 8 = … | 1 + 9 = … | 10 – 3 = … | 10 – 5 = … |
10 – 8 = … | 10 – 9 = … | 4 + 6 = … | 10 + 0 = … |
10 – 2 = … | 10 – 1 = … | 10 – 6 = … | 10 – 0 = … |
ời giải chi tiết:
8 + 2 = 10 | 9 + 1 = 10 | 7 + 3 = 10 | 5 + 5 = 10 |
2 + 8 = 10 | 1 + 9 = 10 | 10 – 3 = 7 | 10 – 5 = 5 |
10 – 8 = 2 | 10 – 9 = 1 | 4 + 6 = 10 | 10 + 0 = 10 |
10 – 2 = 8 | 10 – 1 = 9 | 10 – 6 = 4 | 10 – 0 = 10 |
Tính:
9 + 1 = … | 8 + 2 = … | 7 + 3 = … | 6 + 4 = … |
5 + 5 = … | 1 + 9 = … | 2 + 8 = … | 3 + 7 = … |
4 + 6 = … | 10 – 5 = … | 10 – 1 = … | 10 – 2 = … |
10 – 3 = … | 10 – 4 = … | 10 – 0 = … | 10 – 9 = … |
10 – 8 = … | 10 – 7 = … | 10 – 6 = … | 10 – 10 = … |
Lời giải chi tiết
9 + 1 = 10 | 8 + 2 = 10 | 7 + 3 = 10 | 6 + 4 = 10 |
5 + 5 = 10 | 1 + 9 = 10 | 2 + 8 = 10 | 3 + 7 = 10 |
4 + 6 = 10 | 10 – 5 = 5 | 10 – 1 = 9 | 10 – 2 = 8 |
10 – 3 = 7 | 10 – 4 = 6 | 10 – 0 = 10 | 10 – 9 = 1 |
10 – 8 = 2 | 10 – 7 = 3 | 10 – 6 = 4 | 10 – 10 = 0 |
10 10 10 10 10 10 10 10 10 5 9 8 7 6 10 1 2 3 4 0
9+1+1+6+0+9+8+7+6+7+6+9+7+54+90+87+890=?
Tính:
1 + 9 = 2 + 8 = 3 + 7 = 4 + 6 = 5 + 5 =
10 - 1 = 10 - 2 = 10 - 3 = 10 - 4 = 10 - 5 =
6 + 4 = 7 + 3 = 8 + 2 = 9 + 1 = 10 + 0 =
10 - 6 = 10 - 7 = 10 - 8 = 10 - 9 = 10 - 0 =
1 + 9 = 10 2 + 8 = 10 3 + 7 = 10 4 + 6 = 10 5 + 5 = 10
10 - 1 = 9 10 - 2 = 8 10 - 3 = 7 10 - 4 = 6 10 - 5 = 5
6 + 4 = 10 7 + 3 = 10 8 + 2 = 10 9 + 1 = 10 10 + 0 = 10
10 - 6 = 4 10 - 7 = 3 10 - 8 = 2 10 - 9 = 1 10 - 0 = 10
=10 , =9,8,7,6,5, =10
1 + 9 = 10 2 + 8 = 10 3 + 7 = 10 4 + 6 = 10 5 + 5 = 10
10 - 1 = 9 10 - 2 = 8 10 - 3 = 7 10 - 4 = 6 10 - 5 = 5
6 + 4 = 10 7 + 3 = 10 8 + 2 = 10 9 + 1 = 10 10 + 0 = 10
10 - 6 = 4 10 - 7 = 3 10 - 8 = 2 10 - 9 = 1 10 - 0 = 10
A= 108 + 1 /109 + 1 và B = 109 + 1/ 1010 + 1 Hãy so sánh A và B
\(taco\)
\(A=\frac{10^8+1}{10^9+1}\Rightarrow10A=1+\frac{9}{10^9+1}\)
\(B=\frac{10^9+1}{10^{10}+1}\Rightarrow10B=1+\frac{9}{10^{10}+1}\)
\(Vì:\frac{9}{10^9+1}>\frac{9}{10^{10}+1}\Rightarrow10A>10B\Rightarrow A>B\)
Ta có:
\(A=\frac{10^8+1}{10^9+1}\Leftrightarrow10A=\frac{10^9+10}{10^9+1}=\frac{10^9+1+9}{10^9+1}=1+\frac{9}{10^9+1}\)
\(B=\frac{10^9+1}{10^{10}+1}\Leftrightarrow10B=\frac{10^{10}+10}{10^{10}+1}=\frac{10^{10}+1+9}{10^{10}+1}=1+\frac{9}{10^{10}+1}\)
Vì \(\frac{9}{10^9+1}>\frac{9}{10^{10}+1}\)nên \(1+\frac{9}{10^9+1}>1+\frac{9}{10^{10}+1}\)
\(\Rightarrow10A>10B\)\(\Rightarrow A>B\)
Vậy A>B
So sánh
a)10^8/ 10^7 -1 và 10^7/ 10^6 -1
b)10^7 - 5/10^8+1 và 10^8 - 5/10^9 + 1
c)6n+7/3n-2 và 2n-1/n+4 (n thuộc N)
a) Ta có:
+) \(\frac{10^8}{10^7}\)-1= 108-7-1=10-1=9 (1)
+) \(\frac{10^7}{10^6}\)-1= 107-6-1=10-1=9 (2)
Từ (1) và (2) => \(\frac{10^8}{10^7}\)-1=\(\frac{10^7}{10^6}\)-1
Vậy..
Viết số thích hợp vào chỗ chấm:
2 = … + 1 |
6 = … + 4 |
8 = 5 + … |
10 = … + 2 |
3 = … + 2 |
6 = 3 + … |
8 = … + 4 |
10 = 7 + … |
4 = 3 + … |
7 = 6 + … |
9 = 8 + … |
10 = … + 4 |
4 = … + 2 |
7 = 5 + … |
9 = 7 + … |
10 = 5 + … |
5 = 4 + … |
7 = … + 3 |
9 = 6 + … |
10 = 10 + … |
5 = … + 2 |
8 = 7 + … |
9 = …+ 4 |
10 = 0 + … |
6 = 5 + … |
8 = … + 2 |
10 = 9 + … |
1 = … + 1 |
Lời giải chi tiết:
2 = 1 + 1 |
6 = 2 + 4 |
8 = 5 + 3 |
10 = 8 + 2 |
3 = 1 + 2 |
6 = 3 + 3 |
8 = 4 + 4 |
10 = 7 + 3 |
4 = 3 + 1 |
7 = 6 + 1 |
9 = 8 + 1 |
10 = 6 + 4 |
4 = 2 + 2 |
7 = 5 + 2 |
9 = 7 + 2 |
10 = 5 + 5 |
5 = 4 + 1 |
7 = 4 + 3 |
9 = 6 + 3 |
10 = 10 + 0 |
5 = 3 + 2 |
8 = 7 + 1 |
9 = 5+ 4 |
10 = 0 + 10 |
6 = 5 + 1 |
8 = 6 + 2 |
10 = 9 + 1 |
1 = 0 + 1 |
2=1+1 6=2+4 8=5+3 10=8+2
3=1+2 6=3+3 8=4+4 10=7+3
4=3+1 7=6+1 9=8+1 10=6+4
4=2+2 7=5+2 9=7=2 10=5+5
5=4+1 7=4+3 9=6+3 10=10+0
5=3+2 8=7+1 9=5=4 10=0+10
6=5+1 8=6=2 10=9+1 1=0+1
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