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Trả lời
a)964.3+496.4-496.6
=964.3+[496.(4-6)]
=964.3+(-992)
=2892+(-992)
=1900
b)2019.(2020+1)-2019.2020
=2019.2020.2019-2019.2020
=2019
c)436+324.(234-1)-234.324+324
=436+324.234-324-234.324+324
=436
d)472.(36-1)+35.8
=472.35+35.8
=35.(472+8)
=35.480
=16 800
Ko chắc nha, sai thì cho mk xl vì làm phiền bạn !
b)2019.(2020+1)-2019.2020
=2019.(2020+1-2020)
=2019.1
=2019
ta có :\(E=\frac{2019^{2019}+1}{2019^{2020}+1}\Leftrightarrow2019\cdot E=\frac{2019^{2020}+2019}{2019^{2020}+1}=1+\frac{2019}{2019^{2020}+1}\)
\(F=\frac{2019^{2020}+1}{2019^{2021}+1}\Leftrightarrow2019\cdot F=\frac{2019^{2021}+2019}{2019^{2021}+1}=1+\frac{2019}{2019^{2021}+1}\)
vì \(\frac{2019}{2019^{2020}+1}>\frac{2019}{2019^{2021}+1}\) nên E>F
E=2019 x 2019 x 2019 x ........ x 2019 x2019 +1 /2019 x 2019 x 2019 x.........x 2019 x 2019 + 1
E=1+1/2019+1
E=2/2020
E=1/1010
F=2019 x 2019 x 2019 x .......... x 2019 x 2019 +1 / 2019 x 2019 x 2019 x ....... x 2019 x 2019 +1
F= 1+1/2019+1
F=2/2020
F=1/1010
từ đó ta có E=F(=1/1010)
bài 1:
ssh của A là:
(151-3):2+1=75
A=(151+3)x75:2=5775
đáp số: 5775
S = 1 - 2 + 3 - 4 +...+ 2019 - 2020
= ( 1 - 2 ) + ( 3 - 4 ) +...+ ( 2019 - 2020 )
= ( -1 ) + ( -1 ) +...+ ( -1 )
Có số số hạng ( -1 ) là : ( 2019 - 1 ) : 1 + 1 = 2019
=> S = ( -1 ) x 2019 = ( -2019 )
1.
S = 1-2+3-4+...+2019-2020
S = (1-2)+(3-4)+...+(2019-2020)
S = (-1) + (-1) +...+ (-1)
S = (-1) . 2020 : 2 = -1010
2.
(2x-1)(y+2) = 3
\(\Rightarrow\left(2x-1\right);\left(y+2\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
Ta có bảng :
2x-1 | 1 | -1 | 3 | -3 |
x | 1 | 0 | 2 | -1 |
y+2 | 3 | -3 | 1 | -1 |
y | 1 | -5 | -1 | -3 |
Vậy \(\left(x;y\right)\in\left\{\left(1;1\right);\left(0;-5\right);\left(2;-1\right);\left(-1;-3\right)\right\}\)
\(A=1-3+5-7+......-2019+2021-2023\)
\(A=\left(1-3\right)+\left(5-7\right)+....+\left(2021-2023\right)\)
\(A=-2+\left(-2\right)+....+\left(-2\right)\left(506 cặp\right)\)
\(A=-2.506\)
\(A=-1012\)
*) A=(1-3)+(5-7)+....+(2021-2023)
<=> A=-2+(-2)+...+(-2)
Dãy A có (2023-1):2+1=1012 số số hạng
=> Có 506 số (-2)
=> A=(-2).506=-1012
Ta có :
B = \(\dfrac{1}{2020}+\dfrac{2}{2019}+\dfrac{3}{2018}+...+\dfrac{2019}{2}+\dfrac{2020}{1}\)
B = \(\left(\dfrac{1}{2020}+1\right)+\left(\dfrac{2}{2019}+1\right)+\left(\dfrac{3}{2018}+1\right)+...+\left(\dfrac{2019}{2}+1\right)+1\)
B = \(\dfrac{2021}{2020}+\dfrac{2021}{2019}+\dfrac{2021}{2018}+...+\dfrac{2021}{2}+1\)
B = \(2021\left(\dfrac{1}{2021}+\dfrac{1}{2020}+\dfrac{1}{2019}+...+\dfrac{1}{2}\right)\) (1)
Mà A = \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2021}\) (2)
Từ (1) và (2) \(\Rightarrow\) \(\dfrac{A}{B}=\dfrac{1}{2021}\)
Ta có: \(B=\dfrac{1}{2020}+\dfrac{2}{2019}+\dfrac{3}{2018}+...+\dfrac{2019}{2}+\dfrac{2020}{1}\)
\(=\left(\dfrac{1}{2020}+1\right)+\left(\dfrac{2}{2019}+1\right)+\left(\dfrac{3}{2018}+1\right)+...+\left(\dfrac{2019}{2}+1\right)+1\)
\(=\dfrac{2021}{2020}+\dfrac{2021}{2019}+\dfrac{2021}{2018}+...+\dfrac{2021}{2}+\dfrac{2021}{2021}\)
Suy ra: \(\dfrac{A}{B}=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2021}}{2021\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2021}\right)}=\dfrac{1}{2021}\)
a viết lộn hả bạn
b) 2019.(2020+1)-2019.2020
=2019.(2020+1-2020)\
=2019.1
=2019\
c)436+324.(234-1)-234.324+324
=436+324.(234-1-234+1)
=436+324.1
=436+324
=760
d)472.(36-1)+35.8
=472.35+35.8
=35.(472+8)
=35.480
=16800