1 + 3 + 5 + 7 + … + 2021 =
Xếp các phân số sau theo thứ tự từ lớn đến bé
a, 5/6 ; 6/5; 2021/2021 ; 7/3
b, 1/7 ; 2/7 ; 1/6 ; 5/3
*Thực hiện
1/ (\(\dfrac{2021}{2020}\)+\(\dfrac{2020}{2021}\)) x (\(\dfrac{1}{2}\)-\(\dfrac{1}{3}\)-\(\dfrac{1}{6}\))
2/ (\(\dfrac{7}{19}\)-\(\dfrac{5}{12}\)):\(\dfrac{-5}{8}\)-(\(\dfrac{7}{19}\)-\(\dfrac{29}{12}\)):\(\dfrac{5}{8}\)
3/ \(\dfrac{-5}{6}\)x\(\dfrac{7}{24}\)-\(\dfrac{5}{6}\)x\(\dfrac{14}{24}\)-\(\dfrac{5}{6}\)x\(\dfrac{3}{24}\)
1/ \(\left(\dfrac{2021}{2020}+\dfrac{2020}{2021}\right).\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
=\(\left(\dfrac{2021}{2020}+\dfrac{2020}{2021}\right).0\)
=\(0\)
mink chịu bài này nó rất khó
Câu 1: Thực hiện phép tính
a, \(40\dfrac{1}{4}:\dfrac{5}{7}-25\dfrac{1}{4}:\dfrac{5}{7}-\dfrac{1}{2021}\)
b, \(\left|\dfrac{-5}{9}\right|.\sqrt{81}-2021^0.\dfrac{16}{25}\)
Câu 2: Tìm x
\(3\left(x-\dfrac{1}{3}\right)-7\left(x+\dfrac{3}{7}\right)=-2x+\dfrac{1}{3}\)
1:
a: =7/5(40+1/4-25-1/4)-1/2021
=21-1/2021=42440/2021
b: =5/9*9-1*16/25=5-16/25=109/25
a)M=-2021-68+2021-17-68
b)B=1-2+3-4+5-6+.....+991-1000
c)C=1-2-3+4+5-6-7+8+.......-998-999+1000
a: M=-2021+2021-68-68+17
=-119
b: B=(-1)+(-1)+...+(-1)
=-1x500
=-500
c: C=(1-2-3+4)+(5-6-7+8)+...+(997-998-999+1000)
=0
a, 1-2+3-4+5-6+....+2021-2022
b, 1-6+2-7+3-8+4-9+.......+35-40
c, -1+2-3+4-5+6-.........-2021+2022
d, 1-4+2-5+3-6+.....+197-200
e, -1-2-3-4-5-....-199-200
a: =(-1)+(-1)+...+(-1)=-1011
b: =(-5)+(-5)+...+(-5)=-175
Bài 1: Tính tổng:
a) S = 1+2+3+….+2021 b) P = 1+3+5+……+2021
c) Q = 2+4+6+.......+ 2020 d) M = 1+4+7+.....+298
a) \(S=1+2+3+...+2021\)
\(=\left(2021+1\right).2021:2\)
\(=2043231\)
b) \(P=1+3+5+...+2021\)
\(=\left(2021+1\right).[\left(2021-1\right):2+1]:2\)
\(=2022.1011:2\)
\(=1022121\)
Hãy chứng tỏ 2021^3 + 2021^4+ 2021^5+ 2021^6+ 2021^7 chia hết cho 2022
S = 1 - 3 + 5 - 7 +....+ 2021 - 2023
= (1-3) + (5 - 7) + ... + (2021 - 2023) (có 506 nhóm)
= (-2) + .. + (-2) có 506 số hạng
= (-2). 506 = - 1012
\(\text{ S=1−3+5−7+...+2021-2023}\)
\(TC:\dfrac{2023-1}{2}+1=1012\left(số\right)\)
\(\Rightarrow506\left(cs\right)\)
\(\text{S = 1 − 3 + 5 − 7 + . . . + 2021 − 2023}\)
\(=\text{( 1 − 3 ) + ( 5 − 7 ) + . . . + ( 2021 − 2023 )}\)
\(=(−2)+(−2)+...+(−2)\)
\(=\text{(−2).506=−1012}\)
S=1-3+5-7+9-11+....+2023-2025
S=1+2-3-4+5+6-7-8+....+2021+2022-2023-2024
a:
Sửa đề: \(S=1-3+5-7+...+2021-2023+2025\)
Từ 1 đến 2025 sẽ có:
\(\dfrac{2025-1}{2}+1=\dfrac{2024}{2}+1=1013\left(số\right)\)
Ta có: 1-3=5-7=...=2021-2023=-2
=>Sẽ có \(\dfrac{1013-1}{2}=\dfrac{1012}{2}=506\) cặp có tổng là -2 trong dãy số này
=>\(S=506\cdot\left(-2\right)+2025=2025-1012=1013\)
b: \(S=1+2-3-4+5+6-7-8+...+2021+2022-2023-2024\)
Từ 1 đến 2024 là: \(\dfrac{\left(2024-1\right)}{1}+1=2024\left(số\right)\)
Ta có: 1+2-3-4=5+6-7-8=...=2021+2022-2023-2024=-4
=>Sẽ có \(\dfrac{2024}{4}=506\) cặp có tổng là -4 trong dãy số này
=>\(S=506\cdot\left(-4\right)=-2024\)