(13/2020+23/2021-33/2022)-(1/2-1/3-1/6) tính nhanh
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(13/2020+23/2021+33/2022).(1/2-1/3-1/6)
Giupp toiii, dung thi toi tick nhe
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(13/2020+23/2021+33/2022).(1/2-1/3-1/6)
Giupp toiii, dung thi toi tick nhe
\(\left(\dfrac{13}{2020}+\dfrac{23}{2021}+\dfrac{33}{2022}\right).\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
= \(\left(\dfrac{13}{2020}+\dfrac{23}{2021}+\dfrac{33}{2022}\right).\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\)
= \(\left(\dfrac{13}{2020}+\dfrac{23}{2021}+\dfrac{33}{2022}\right).0\)
=\(0\)
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Tính nhanh: (2022 x 2021 – 2021 x 2020) x( 1 + \(\dfrac{1}{2}\) : \(1\dfrac{1}{2}\) - \(1\dfrac{1}{3}\) )
\(=2021\cdot2\cdot\left(1+\dfrac{1}{2}:\dfrac{3}{2}-\dfrac{4}{3}\right)=4042\cdot\left(1+\dfrac{1}{3}-\dfrac{4}{3}\right)=0\)
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Tính nhanh :
-13.21-13.80+13
-1+2-3+4-5+6-...-2021+2022
-13.21-13.80+13
=-13.(21-80+1)
=-13.100
=-1300
-1+2-3+4-5+6-...-2021+2022
=(-1+2)+(-3+4)+...+(-2021+2022)
=1+1+1+...+1 (1011 số hạng)
=1011
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-13 . 21 - 13 . 80 + 13
13 ( -21 - 80 + 1 )
13 . ( -100 )
- 1300
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\(-13\cdot21-13\cdot80+13=13\left(-21-80+1\right)=13\cdot\left(-100\right)=-1300\)
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1. So sánh
a) \(A=\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{2020}}+\dfrac{1}{2^{2021}}\) và B= \(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{13}{60}\)
b) \(C=\dfrac{2019}{2021}+\dfrac{2021}{2022}\) và \(D=\dfrac{2020+2022}{2019+2021}.\dfrac{3}{2}\)
a) Ta có:
2A=2.(12+122+123+...+122020+122021)2�=2.12+122+123+...+122 020+122 021
2A=1+12+122+123+...+122019+1220202�=1+12+122+123+...+122 019+122 020
Suy ra: 2A−A=(1+12+122+123+...+122019+122020)2�−�=1+12+122+123+...+122 019+122 020
−(12+122+123+...+122020+122021)−12+122+123+...+122 020+122 021
Do đó A=1−122021<1�=1−122021<1.
Lại có B=13+14+15+1360=20+15+12+1360=6060=1�=13+14+15+1360=20+15+12+1360=6060=1.
Vậy A < B.
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1*2022+2*2021+3*2020+.........................2022*1 tính
11 tháng 1 2021 lúc 19:14
Tính :
a, -1 - 2 - 3 - 4 - 5 - 6 - .... - 80
b, 1-2+3-4+5-6+ ...... +2021-2022
c, -1+2-2+4-5+6- ..... -2019+2020
d, -4-8-12-16- ..... -2020
Xem chi tiết
20 tháng 4 2022 lúc 22:36
giúp mk, please :)
\(\dfrac{\dfrac{1}{6}+\dfrac{1}{7}+...+\dfrac{1}{2022}}{2017+\dfrac{2016}{6}+\dfrac{2015}{7}+...+\dfrac{1}{2021}}\)
A. \(\dfrac{1}{2020}\)
B. \(\dfrac{1}{2021}\)
C. \(\dfrac{1}{2019}\)
D. \(\dfrac{1}{2022}\)
chọn ra 3 ngừi nhanh nhứt:>>
giải thích cho những ng ko hỉu ;-;
\(=\dfrac{\dfrac{1}{6}+\dfrac{1}{7}+...+\dfrac{1}{2022}}{\left(\dfrac{2016}{6}+1\right)+\left(\dfrac{2015}{7}+1\right)+...+\left(\dfrac{1}{2021}+1\right)+1}\)
\(=\dfrac{\dfrac{1}{6}+\dfrac{1}{7}+...+\dfrac{1}{2022}}{\dfrac{2022}{6}+\dfrac{2022}{7}+...+\dfrac{2022}{2021}+\dfrac{2022}{2022}}\)
\(=\dfrac{\dfrac{1}{6}+\dfrac{1}{7}+...+\dfrac{1}{2022}}{2022.\left(\dfrac{1}{6}+\dfrac{1}{7}+...+\dfrac{1}{2022}\right)}=\dfrac{1}{2022}\)
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tính :
A= 1+2-3-4+5+6-7-8+9+...+2018-2019-2020+2021-2022
A = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ... + 2018 – 2019 - 2020 + 2021
A = (1 + 2 - 3 - 4) + ... + (2017 + 2018 – 2019 - 2020) + 2021
A = (-4) + ... + (-4) + 2021 +
2020 : 4 = 505
A = (-4) . 505 + 2021
A = (-2020) + 2021
A = 1
Vậy A=1
Mình gửi bạn nha !!!!!
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Tính bằng cách nhanh nhất:
a/ 2010-2012+2014-2016+2018-2020+2021-2022
b/ 1-3+5-7+9-11+13-15+17-19+21
