2022-[45-(6-1)2]+20190
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câu 1:
\(\left\{1;2;...;11\right\}\)
\(\left\{x\in N;0< x\le11\right\}\)
câu 2:
a) \(=416-\dfrac{189}{32}=\dfrac{13123}{32}\)
b) dãy trên có số hạng là: \(\left(90-12\right):3+1=27\)(số)
tổng dãy số trên là:\(\left(90+12\right).27:2=1377\)
c) \(=2020-\left(45-5^2\right)+1=2020-20+1=2001\)
a; 23.17 + 23.83 - 14
= 23.(17 + 83) - 14
= 8.100 - 14
= 800 - 14
= 786
b; -176 + 197 - (-76 + 97)
= -176 + 197 + 76 - 97
= -(176 - 76) + (197 - 97)
= - 100 + 100
= 0
c; 2022 - [45 - (6 - 1)2 ] + 20210
= 2022 - [45 - 52] + 1
= 2022 + 1 - [45 - 25]
= 2023 - 20
= 2003
a) (x - 15) × 7 - 270 : 45 = 169
(x - 15) × 7 - 6 = 169
(x - 15) × 7 = 169 + 6
(x - 15) × 7 = 175
x - 15 = 175 : 7
x - 15 = 25
x = 25 + 15
x = 40
b) [(4x + 28) × 3 + 55] : 5 = 35
(4x + 28) × 3 + 55 = 35 × 5
(4x + 28) × 3 + 55 = 175
(4x + 28) × 3 = 175 - 55
(4x + 28) × 3 = 120
4x + 28 = 120 : 3
4x + 28 = 40
4x = 40 - 28
4x = 12
x = 12 : 4
x = 3
c) (455 × x : 2 × 6) : 5 = 31
455 × x : 2 × 6 = 31 × 5
455 × x : 2 × 6 = 155
x × 455 : 2 × 6 = 155
x × 1365 = 155
x = 155 : 1365
x = 31/273
d) 128 × x - 12 × x - 16 × x = 520800
(128 - 12 - 16) × x = 520800
100 × x = 520800
x = 520800 : 100
x = 5208
e) (x × 0,25 + 2022) × 2023 = (50 + 2022) × 2023
(x × 0,25 + 2022) × 2023 = 2072 × 2023
(x × 0,25 + 2022) × 2023 = 4191656
x × 0,25 + 2022 = 4191656 : 2023
x × 0,25 + 2022 = 2072
x × 0,25 = 2072 - 2022
x × 0,25 = 50
x = 50 : 0,25
x = 200
f) 4 × x + 100 = x + 280
4 × x - x = 280 - 100
(4 - 1) × x = 180
3 × x = 180
x = 180 : 3
x = 60
g) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 7450
x + 1 + x + 2 + x + 3 + ... + x + 100 = 7450
100 × x + 100 × 101 : 2 = 7450
100 × x + 5050 = 7450
100 × x = 7450 - 5050
100 × x = 2400
x = 2400 : 100
x = 24
Ta có: 202245-202244=202244.(202245-44-1)=202244.(2022-1)=202244.2021
202244-202243=202243.(202244-43-1)=202243.(2022-1)=202243.2021
Vì 202244.2021>202243.2021 nên 202245-202244>202244-202243
\(2022^{45}-2022^{44}=2022^{44}\cdot2021\)
\(2022^{44}-2022^{43}=2022^{43}\cdot2021\)
mà 44>43
nên \(2022^{45}-2022^{44}>2022^{44}-2022^{43}\)
a) 80-(4.52-3.23)=80-100+24=4
b)[36.4-4.(82-7.11)2]:4-20190
={4.[36-(82-7.11)2]}:4-1
=[36-(82-7.11)2]-1
=11-1=10
c)56:54+23.22-12018
=52+25-1
=25+32-1=56
d)303-3.{[655-(18:2+1).43+55]}:100
=303-3.[(655-9-1).43+55]:1
=303-3[655-640+5]
=303-3(20)
=303-60=243
\(=2022-\left(45-5^2\right)+1=2022-\left(45-25\right)+1=2022-20+1=2003\)
2003