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a) \(39\times118+29\times82\)
\(=39\times2\times59+29\times2\times41\)
\(=2\times\left(39\times59+29\times41\right)\)
\(=2\times\left(2301+1189\right)\)
\(=2\times3490\)
\(=6980\)
b) \(37\times39+78\times14-13\times85-52\times55\)
\(=37\times3\times13+6\times13\times14+13\times85-4\times13\times55\)
\(=13\times\left(37\times3+6\times14+85-4\times55\right)\)
\(=13\times\left(111+84+85-220\right)\)
\(=13\times\left(280-220\right)\)
\(=13\times60\)
\(=780\)
c) \(368:16+752:16+480:16\)
\(=\left(368+752+480\right):16\)
\(=\left(1120+480\right):16\)
\(=1600:16\)
\(=100\)
d) \(5\times11\times18+9\times31\times10+4\times29\times45\)
\(=5\times11\times9\times2+9\times31\times10+2\times2\times29\times5\times9\)
\(=10\times9\times11+10\times9\times31+10\times29\times2\times9\)
\(=90\times11+90\times31+90\times29\times2\)
\(=90\times\left(11+31+29\times2\right)\)
\(=90\times\left(42+58\right)\)
\(=90\times100\)
\(=9000\)
a: =39-13-62-39=-75
b: =(-2)+(-2)+(-2)=-6
c: 92-55+8-45=100-100=0
d: M={-20;-19;-18;...;18;19;20}
Tổng là (-20)+(-19)+(-18)+...+18+19+20=0
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
<=> 10+x+11+x+13+x+16+x+...+38+x=892
<=>7x.(10+13+16+20+25+31+38) =892
<=>7x.153 =892
<=>7x =892:153=\(\frac{892}{153}\)
Vậy x =\(\frac{892}{153}:7\)=\(\frac{892}{1071}\)
a, 53 * 39 + 47 * 59 - 53 * 21 - 47 * 21 c, (43 * 52 - 43 ) : ( 4 * 42 )
= ( 53 + 47 ) * 39 - ( 53 + 47 ) * 21 = ( 64 * 25 - 64 ) : ( 4 * 16 )
= 100 * 39 - 100 * 21 = ( 1600 - 64 ) : 64
= ( 39 - 21 ) * 100 = 1536 : 64
= 18 * 100 = 24
= 1800
\(\Rightarrow16-3x=504:72=7\\ \Rightarrow3x=16-7=9\Rightarrow x=3\\ \left(2^2\cdot x-5^2\right)\cdot3^8=3^9\\ \Rightarrow4x-25=3^9:3^8=3\\ \Rightarrow4x=28\Rightarrow x=7\)
+/ 70-5(x-3)=45
5(x-3)=70-45
5(x-3)=25
x-3=25:5
x-3=5
x =5+3
x =8
+/ x-38:16=12
x-2,375=12
x =12+2.375
x = 14,375
+/ 10+2x=45:43
10+2x=16
2x=16-10
2x=6
x=6:2
x=3
k và kết bạn với mình nha <3
\(\frac{3^{10}\cdot11+45\cdot3^8}{16\cdot3^9}\)
= 3
cho mk cách làm