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1: \(23+\left(-13\right)+\left(-50\right)\)
\(=23-13-50\)
=10-50
=-40
2: \(-5+15+\left(-123\right)\)
\(=\left(-5+15\right)-123\)
=10-123
=-113
3: \(5871:\left\{928-\left[\left(-82+247\right)\right]\right\}\cdot5\)
\(=5871-\left\{928+82-247\right\}\cdot5\)
\(=5871-763\cdot5=5871-3815=2056\)
4: \(40-\left(4\cdot5^2-3\cdot2^3\right)\)
\(=40-4\cdot5^2+3\cdot2^3\)
\(=40-4\cdot25+3\cdot8\)
=40-100+24
=64-100
=-36
5: \(6^2\cdot5-7^2+149\)
\(=36\cdot5-49+149\)
\(=180+149-49\)
=180+100
=280
6: \(-210:\left[16+3\cdot\left(6+3\cdot2^2\right)\right]+\left(-2022\right)\)
\(=-210:\left[16+3\cdot\left(6+3\cdot4\right)\right]+\left(-2022\right)\)
\(=-210:\left[16+3\cdot18\right]+\left(-2022\right)\)
\(=-210:70-2022\)
=-3-2022
=-2025
7: \(5\cdot2^3+7^{11}:7^9-2023^0\cdot1^8\)
\(=5\cdot8+7^2-1\)
=40+49-1
=39+49
=88
8: \(400:\left\{5\cdot\left[360-\left(290+2\cdot5^2\right)\right]\right\}\)
\(=400:\left\{5\cdot\left[360-290-2\cdot25\right]\right\}\)
\(=400:\left\{5\cdot20\right\}\)
\(=\dfrac{400}{100}=4\)
9: \(75-\left(3\cdot5^2\right)-4\cdot5^3\)
\(=75-3\cdot25-4\cdot5^3\)
=-4*125
=-500
a) 80 - (4.52 - 3.23 )
= 80 - ( 4 . 25 - 3. 8 )
= 80 - ( 100 - 24 )
= 80 - 76 = 4
b) 56 : 54 + 23 . 22 - 12017
= 52 + 25 - 1
= 25 + 32 - 1
= 57 -1 = 56
a, 80 - 4 . 5 2 - 3 . 2 3
= 80 – (4.25 – 3.8)
= 80 – 76 = 4
b, 5 6 : 5 4 + 2 3 . 2 2 - 1 2018
= 5 2 + 2 5 - 1
= 25 + 32 – 1 = 56
c, [36.4 – 4. 82 - 7 . 11 2 ]:4 – 2019 0
= (144 – 4. 5 2 ):4 – 1
= (144 – 100):4 – 1
= 11 – 1 = 10
d, 303 – 3.{[655 – (18:2+1). 4 3 +5]}: 10 0
= 303 – 3.(655 – 10.64 + 5):1
= 303 – 10 = 293
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
a) 80- (4.52 - 3.23)
= 80- ( 208 -69 )
=80+139 quy tắc đổi dấu trừ tước dấu ngoặc
= 219
e: Ta có: \(2448:\left[119-\left(23-6\right)\right]\)
\(=2448:\left(119-23+6\right)\)
\(=2448:102=24\)
a) $34-29+(-14)+129-(-114)$
$=34-29-14+129+114$
$=34+(129-29)+(114-14)$
$=34+100+100$
$=234$
b) $27\cdot(-35)+(-27)\cdot64-27$
$=(-27)\cdot35+(-27)\cdot64+(-27)\cdot1$
$=(-27)\cdot(35+64+1)$
$=(-27)\cdot(99+1)$
$=(-27)\cdot100$
$=-2700$
c) $160-(4\cdot5^2-3\cdot2^3)\cdot2-(-12)$
$=160-(4\cdot25-3\cdot8)\cdot2+12$
$=160-(100-24)\cdot2+12$
$=160-76\cdot2+12$
$=160-152+12$
$=160-(152-12)$
$=160-140$
$=20$
a, 34 - 29 + (-14) + 129 - (-114)
= 34 + (129 - 29) + (114 - 14)
= 34 + 100 + 100
= 234
b, 27.(-35) + (-27).64 - 27
= (-27).(35 + 64 + 1)
= - 27 . 100
= - 2700
c, 160 - (4.52 - 3.23).2 - (-12)
= 160 - (4.25 - 3.8).2 + 12
= 160 - (100 - 24).2 + 12
= 160 - 76.2 + 12
= 160 - 152 + 12
= 8 + 12
= 20
Câu 15:
\(A=2+2^2+2^3+...+2^{100}\)
\(=2\left(1+2\right)+...+2^{99}\left(1+2\right)\)
\(=6\cdot\left(1+...+2^{98}\right)⋮6\)
Đáp án:
Bài 1 :
1) 30.75 + 25.30 – 150
= 30.(75+25) -150
= 30.100 -150
= 3000 -150
= 2850
2) 160 - (4.52 - 3.23)
= 160 – ( 4.25 – 3.8)
= 160 – (100 – 24)
= 160 – 76
= 84
3) [36.4 - 4.(82 - 7.11)2] : 4 - 20220
= [36.4 – 4.(82 – 7.11)2] :4 - 1
= [36.4 – 4.(82 – 77)2] : 4 – 1
= [36.4 – 4.52] : 4 – 1
=[36.4 – 4.25] : 4 – 1
=[4. (36 – 25)] : 4 – 1
= [4. 11] : 4 – 1
=44 : 4 – 1
=11 – 1
= 10
Đây nha bạn!!!
Chúc bạn học tốt!!!
a) 25.6 + 5.5.29 - 45.5 =25.6 - 25.29 + 9.5.5 25.6 - 25.29 +9.(5.5) [có chung 25 nên sẽ đặt 25 ra ngoài rồi trừ cộng trong ngoặc] b) 30.75 + 25.30 - 150 =30.75 + 25.30 - 30.5 [tương tự như trên]
4.(3x^3 + 1^10) = 4.5^2
=> 3x^3 + 1 = 5^2 = 25
=> 3x^3 = 24
=> x^3 = 8 = 2 ^3
=> x = 2
4.(3x^3 + 1^10) = 4.5^2
=> 3x^3 + 1 = 5^2 = 25
=> 3x^3 = 24
=> x^3 = 8 = 2 ^3
=> x = 2
80-(4.25-3.8)=1024-x+4
80-(100-24)=1028-x
80-76=1028-x
4=1028-x
x=1028-4
x=1024
k cho mk nha