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{[( \(3^2\)+ 1 ) .10-(8:2 + 6 ) ] : 2 } + 55 - ( 10 : 5 )\(^3\)
= {[( 9 + 1 ) . 10 - ( 4 + 6 )] : 2 } + 55 - 2\(^3\)
= {[ 10 . 10 - 10 ] : 2 } + 55 - 8
= {[ 100 - 10 ] : 2 } + 47
= { 90 : 2 } + 47
= 45 + 47
= 92
\(\dfrac{11}{6}+\dfrac{1}{4}=\dfrac{22}{12}+\dfrac{3}{12}=\dfrac{25}{12}\)
\(\dfrac{2}{5}-\dfrac{3}{8}=\dfrac{16}{40}-\dfrac{15}{40}=\dfrac{1}{40}\)
\(\dfrac{3}{10}-\dfrac{4}{15}=\dfrac{9}{30}-\dfrac{8}{30}=\dfrac{1}{30}\)
\(3+\dfrac{2}{5}=\dfrac{15}{5}+\dfrac{2}{5}=\dfrac{17}{5}\)
\(\dfrac{333}{777}+\dfrac{22}{55}=\dfrac{3}{7}+\dfrac{2}{5}=\dfrac{15}{35}+\dfrac{14}{35}=\dfrac{29}{35}\)
Bài làm :
\(A.\left\{\left[\left(3^2+1\right).10-\left(8:2+6\right)\right]:2\right\}+55-\left(10:5\right)^3\)
\(=\left\{\left[10.10-\left(4+6\right)\right]:2\right\}+55-\left(10:5\right)^3\)
\(=\left[\left(100-10\right):2\right]+55-2^3\)
\(=\left(90:2\right)+55-8\)
\(=45+55-8\)
\(=92\)
\(B.\left\{\left[\left(10-2.3\right).5\right]+2-2.6\right\}:2+\left(4.5\right)^2\)
\(=\left\{\left[\left(10-6\right).5\right]+2-12\right\}:2+20^2\)
\(=\left[\left(4.5\right)+2-12\right]:2+400\)
\(=\left(20+2-12\right):2+400\)
\(=10:2+400\)
\(=5+400\)
\(=405\)
Học tốt nhé
a) {[(32 + 1).10 - (8:2 + 6)] : 2} + 55 - (10 : 5)3
= {[(9 + 1).10 - (4 + 6)] : 2} + 55 - 23
= {[10.10 - 10] : 2} + 55 - 23
= {[10(10 - 1)] : 2} + 55 - 8
= {[10.9] : 2} + 55 - 8
= 45 + 55 - 8 = 92
b) {[(10 - 2.3).5] + 2 - 2.6} : 2 + (4.5)2
= {[(10 - 6).5] + 2 - 12} : 2 + 202
= {[4 . 5] + 2 - 12} : 2 + 400
= {20 + 2 - 12} : 2 + 400
= 10 : 2 + 400 = 5 + 400 = 405
{ [ ( 32 + 1 ) . 10 - ( 8 : 2 + 6 ) ] : 2 } + 55 - ( 10 : 5 )
= { [ ( 9 + 1 ) . 10 - ( 8 : 2 + 6) ] : 2 } + 55 - ( 10 : 5 )
= { [ 10 . 10 - ( 8 : 2 + 6 ) ] : 2 } + 55 - ( 10: 5)
= { [ 10 . 10 - ( 4 + 6) ] : 2 } + 55 - (10 : 5)
= { [ 10 . 10 - 10 ] : 2 } + 55 - (10 : 5)
= { [ 10 .10 - 10 ] : 2 } + 55 - 2
= { [ 100 - 10 ] : 2 } + 55 - 2
= { 90 : 2 } + 55 - 2
= 45 + 55 - 2
= 100 - 2
= 98
d,155-10(x+1)=55
10(x+1) = 155 - 55
10(x+1) = 100
x+1 = 100 : 10
x+1 = 10
x = 10 - 1 =9
e,6(x+\(2^3\))+40=100
6(x+\(2^3\)) = 100 - 40
6(x+\(2^3\)) = 60
(x+\(2^3\)) = 60 : 6
(x+\(2^3\)) = 10
x = 10 - \(2^3\)
x = 10 - 8 = 2
f,\(2^2\)(x+\(3^2\))-5=55
\(2^2\)(x+\(3^2\)) = 55 + 5
\(2^2\)(x+\(3^2\)) = 60
(x+\(3^2\)) = 60 : \(2^2\)
(x+\(3^2\)) = 60 : 4
(x+\(3^2\)) = 15
x + 9 = 15
x = 15-9=6.
Hok tốt !
d) \(155-10\left(x+1\right)=55\)
\(\Rightarrow10\left(x+1\right)=155-55\)
\(\Rightarrow10\left(x+1\right)=100\)
\(\Rightarrow x+1=100:10\)
\(\Rightarrow x+1=10\)
\(\Rightarrow x=10-1\)
\(\Rightarrow x=9\)
Vậy x = 9
e) \(6\left(x+2^3\right)+40=100\)
\(\Rightarrow6\left(x+2^3\right)=100-40\)
\(\Rightarrow6\left(x+2^3\right)=60\)
\(\Rightarrow x+2^3=60:6\)
\(\Rightarrow x+2^3=10\)
\(\Rightarrow x+8=10\)
\(\Rightarrow x=10-8\)
\(\Rightarrow x=2\)
Vậy x = 2
f) \(2^2\left(x+3^2\right)-5=55\)
\(\Rightarrow2^2\left(x+3^2\right)=55+5\)
\(\Rightarrow2^2\left(x+3^2\right)=60\)
\(\Rightarrow4\left(x+9\right)=60\)
\(\Rightarrow x+9=60:4\)
\(\Rightarrow x+9=15\)
\(\Rightarrow x=15-9\)
\(\Rightarrow x=6\)
Vậy x = 6
{2^3+1).10+(2^3:2+6)]:2}+55
= {[( 8 + 1 ) . 10 + ( 8 : 2 + 6 )] + 55
=[ 9 . 10 + ( 4 + 6 )] + 55
= 90 + 10 + 55
= 155