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(5346-2808) : 54 + 51
=2538 : 54 + 51
= 47 + 51 = 98
187 . ( 38 + 62 ) - 87 . (62 + 38 )
=187 . 100 - 87 . 100
= 100 . ( 187 - 87 )
= 100 . 100
= 10000
25. { 32 : [12 -4 + 4 . ( 16 : 8 )]}
= 25. { 32 : [12 - 4 + 8]}
= 25 . { 32 : [8 + 8 ]}
= 25 . { 32 : 16 }
= 25 . 2 =50
A = 50 +51 + 52 + ......+ 99+100
A = ( 100 + 50 ) . 51 : 2
A = 150 .51 : 2
A = 7650 : 2
A = 3825
Chuc ban hoc tot 
\(\left(5346-2808\right):54+51\)
\(=2538:54+51\)
\(=47+51=98\)
\(187\left(38+62\right)-87\left(62+38\right)\)
\(=187.100-87.100\)
\(=100\left(187-87\right)\)
\(=100.100=10000\)
\(25\left\{32:\left[12-4+4\left(16:8\right)\right]\right\}\)
\(=25\left\{32:\left[12-4+4.2\right]\right\}\)
\(=25\left\{32:\left[12-4+8\right]\right\}\)
\(=25\left\{32:16\right\}\)
\(=25.2=50\)
\(A=50+51+52+......+100\)
\(=\dfrac{\left[\left(100-50\right):1+1\right]\left(100+50\right)}{2}\)
\(=3825\)
\(a)9.4.25.8.125\)
\(=9.\left(4.25\right).\left(8.125\right)\)
\(=9.100.1000\)
\(=900.1000\)
\(=900000\)
\(a,9.4.25.8.125=9.\left(4.25\right).\left(8.125\right)=9.100.1000=900000\)
\(b,25.5.27.2\)(câu này hình như thiếu đề, ko tính nhanh đc)
\(c,37.7+80.3+43.7\)\(=7.\left(37+43\right)+80.3\)\(=7.80+3.80=80\left(7+3\right)=80.10=800\)
\(d,113.38+113.62+87.62+87.38\)\(=113\left(38+62\right)+87\left(62+38\right)\)
\(=113.100+87.100=100.\left(113+87\right)=100.200=20000\)
Viết gọn lũy thừa:
\(a,x.x.y.y.x.y.x=\left(x.x.x.x\right).\left(y.y.y\right)=x^4.y^4\)
\(b,7^5:343=7^5:7^3=7^{5-3}=7^2\)
\(c,A^{12}:A^{18}=A^{12-18}=A^{-6}\)
\(d,x^7.x^4.x=x^{7+4+1}=x^{12}\)
Bài 2:
a: \(387+\left(-224\right)+\left(-87\right)\)
\(=\left(387-87\right)+\left(-224\right)\)
=300-224
=76
b: \(39+\left(13-26\right)-\left(62+39\right)\)
\(=39+13-26-62-39\)
\(=\left(39-39\right)+\left(13-26-62\right)\)
=0-75
=-75
c: \(32-34+36-38+40-42\)
\(=\left(32-34\right)+\left(36-38\right)+\left(40-42\right)\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)\)
=-6
d: \(92-\left(55-8\right)+\left(-45\right)\)
\(=92-55+8-45\)
\(=\left(92+8\right)-\left(55+45\right)\)
=100-100
=0
e: -20<=x<=20
mà x nguyên
nên \(x\in\left\{-20;-19;-18;...;18;19;20\right\}\)
=>M={-20;-19;-18;-17;...;18;19;20}
Tổng các phần tử của M là:
\(\left(-20\right)+\left(-19\right)+\left(-18\right)+\left(-17\right)+...+18+19+20\)
\(=\left(-20+20\right)+\left(-19+19\right)+...+\left(-2+2\right)+\left(-1+1\right)+0\)
=0+0+...+0
=0
\(12.62.3+6^2.38-125:25\\ =36.62+36.38-5\\ =36.\left(62+38\right)-5\\ =36.100-5\\ =3600-5\\ =3595.\)
\(12\cdot62\cdot3+6^2\cdot38-125:25\)
\(=12\cdot62\cdot3+36\cdot38-5\)
\(=2232+1368-5\)
\(=3595\)
a) 113.38+87.62+113.62+87.38
=(113.38+87.38)+(87.62+113.62)
=38.(113+87)+62.(87+113)
=38.200+62.200
=200.(38+62)
=200.100
=20000
b) 2.125.18+3.12.252+4.223.9
= 2.18.125+3.12.252+4.9.223
=36.125+36.252+36.223
=36.(125+252+223)
=36.500
=18000
Chúc bạn học tốt~~~
a)|x| - 38/7|x| - 3/4=2|x|+(8/7)
\(VP=\frac{2\left(7\left|x\right|+4\right)}{7}\)
\(\Leftrightarrow\frac{3.19}{2.7}=\frac{2\left(7\left|x\right|+4\right)}{7}\)
\(\Leftrightarrow x=\pm\frac{41}{28}\)
b)17/2 - |2x-3/4|=-7/4
\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}-\left(-\frac{7}{4}\right)\)
\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{51}{4}\)
\(\Leftrightarrow2x-\frac{3}{4}=\pm\frac{51}{4}\)
- Với \(2x-\frac{3}{4}=\frac{51}{4}\)
\(\Leftrightarrow x=\frac{11}{2}\)
- Với \(2x-\frac{3}{4}=-\frac{51}{4}\)
\(\Leftrightarrow x=-\frac{19}{4}\)
Bài 2:
a. $=62-81-12+59-9=(62-12)+(59-9)-81$
$=50+50-81=100-81=19$
b. $=39+13-26-62-39=(39-39)+13-(26+62)$
$=0+13-88=-(88-13)=-75$
c. $=(32-42)+(36-34)+(40-38)=10+2+2=14$
d. $=92-55+8-45=(92+8)-(55+45)=100-100=0$
Bài 1:
a. $=(387-87)-224=300-224=76$
b. $=-(75+35)+379=-110+379=379-110=269$
c. $=(11+15)-(13+17)=25-30=-5$
d. $=(31-21)-(27-24)=10-3=7$
+) 187 x ( 38 + 62 ) - 87 x ( 62 + 38 )
= ( 62 + 38 ) x ( 187 - 87 )
= 100 x 100
= 10000
p/s : làm từng phần đợi mk chút ^^
25 x { 32 : [ 12 - 4 + 4 x ( 16 : 8 ) ] }
= 25 x { 32 : [ 8 + 4 x 2 ] }
= 25 x { 32 : 16 }
= 25 x 2
= 50