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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
R = 2009.10001.2008.100010001 - 2009 . 100010001 . 2008 . 10001 = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
B = 1 + 2 + 4 + 8 + ...+1024+ 2048
=> 2 x B = 2 + 4 + 8 + 16 + ...+ 2048 + 4096
=> 2 x B - B = 4096 - 1
B = 4096 - 1
B = 4095
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2+4+8+16+...+1024+2048=2\left(1+2+4\right)+16\left(1+2+4\right)+128\left(1+2+4\right)+1024\left(1+2\right)=\left(2+16+128+1024\right)\left(1+2+4\right)+3072=1022+3072=4094\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A = 2+4+8+16+...+1024+2048
=> A = 2 + 22 + 23 + ... + 211
=> 2A = 22 + 23 + 24 ... + 212
=> 2A - A = 22 + 23 + 24 ... + 212 - 2 + 22 + 23 + ... + 211
=> A = 212 - 2
![](https://rs.olm.vn/images/avt/0.png?1311)
Đề bài bạn viết sai phải là 2020 x 2016-4000 / 2016 x 2017 +2048
Ta có: 2020 x 2016 - 4000 = (2017+3) x 2016 -4000
= 2017 x 2016 + 3 x 2016 -4000
= 2017 x 2016 + 6048 -4000
= 2017 x 2016 + 2048
Vậy 2020 x 2016 - 4000 / 2017 x 2016 +2048 = 1
Chúc bạn học tốt.
![](https://rs.olm.vn/images/avt/0.png?1311)
Số số hạng là:
( 2048 - 2 ) : 2 + 1 = 1024 ( số )
Tổng là:
( 2048 + 2 ) x 1024 : 2 = 1 049 600
\(A=2+4+8+...+1024+2048\)
\(A=2+2^2+2^3+...+2^{10}+2^{11}\)
\(2A=2^2+2^3+...+2^{12}\)
\(2A-A=2^2+2^3+2^4+...+2^{12}-\left(2+2^2+...+2^{11}\right)\)
\(A=2^{12}-2=4094\)
còn có 1 cách tiểu học nhưng cũng gần giống thế này:
\(A=2+4+8+...+1024+2048\)
\(2A+2=\frac{2+4+8+...+1024+2048}{A}+4096\)
\(\Rightarrow A+2=4096\Rightarrow A=4094\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x+268\right).137=48498\)
\(\Leftrightarrow x+268=48498:137\)
\(\Leftrightarrow x+268=354\)
\(\Leftrightarrow x=354-268\)
\(\Leftrightarrow x=86\)
b) \(\left(x+3217\right):215=348\)
\(\Leftrightarrow x+3217=348.215\)
\(\Leftrightarrow x+3217=74820\)
\(\Leftrightarrow x=74820-3217\)
\(\Leftrightarrow x=71603\)
c) \(\left(x-2048\right):145=246\)
\(\Leftrightarrow x-2048=246.145\)
\(\Leftrightarrow x-2048=35670\)
\(\Leftrightarrow x=35670+2048\)
\(\Leftrightarrow x=37718\)
d) \(\left(2043-x\right).84=132552\)
\(\Leftrightarrow2043-x=132552:84\)
\(\Leftrightarrow2043-x=1578\)
\(\Leftrightarrow x=2043-1578\)
\(\Leftrightarrow x=465\)
e) \(x.124+5276=48304\)
\(\Leftrightarrow x.124=48304-5275\)
\(\Leftrightarrow x.124=43028\)
\(\Leftrightarrow x=43028:124\)
\(\Leftrightarrow x=347\)
\(\Leftrightarrow2043-x=1578\)
a) ( x + 268 ) x 137 = 48498
( x + 268 ) = 48498
x + 268 = 354
x = 354 - 268
x = 86
C1) 1357 x 2048 + 357 x 2048 = 2779136 + 731136 = 3510272
C2) 1357 x 2048 + 357 x 2048 = 2048 x (1357 + 357) = 3510272
C3) 1357 x 2048 + 357 x 2048
= 1357 x 2048 + (1357 - 1000) x 2048
= 1357 x 2048 + 1357 x 2048 -1000 x 2048
= 2048 x (1357 + 1357 - 1000)
= 2048 x 1714
= 3510272
:) 1357 x 2048 + 357 x 2048
= 1357 x 2048 + (1357 - 1000) x 2048
= 1357 x 2048 + 1357 x 2048 -1000 x 2048
= 2048 x (1357 + 1357 - 1000)
= 2048 x 1714
= 3510272