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a) 4 + ( -1 ) 3 = 4 + ( -1 ) = 3
b ) \(\left(-\frac{1}{4}+\frac{5}{8}\right)+\left(-\frac{3}{8}\right)=\left(-\frac{2}{8}+\frac{5}{8}\right)-\frac{3}{8}=\frac{3}{8}-\frac{3}{8}=0\)
c) { [ ( -3 )2 . 10 - 2.5 - 100 ] + | -10 |: ( -2 ) } : ( -5 )
={ [ ( -9 . 10 - 10 - 100 ] + 10: ( -2 ) } : ( -5 )
={ [ -90 - 10 - 100 ] + (-5) } : ( -5 )
={ [ -100 - 100 ] + ( -5 ) } : ( -5 )
={ -200 + ( -5 ) } : ( -5 )
= -205 : ( -5 )
= 41
\(a,42.9-555+9.58=378-555+552\)
\(=345\)
\(b,92:\left(5+2.\left(13-10\right)^2\right)=92:\left(5+2.9\right)\)
\(=92:\left(5+18\right)\)
\(=92:23\)
\(=4\)
\(c,5^9:5^6-4^2.4=125-64\)
\(=61\)
a) 42 . 9 - 555 + 9 . 58
= 378 - 555 + 522
= ( - 177 ) + 522
= 345
b) 92 : [ 5 + 2 . ( 13 - 10 )2 ]
= 92 : [ 5 + 2 . 32 ]
= 92 : [ 5 + 2 . 9 ]
= 92 : [ 5 + 18 ]
= 92 : 23
= 4
c) 59 : 56 - 42 . 4
= 53 - 43
= 125 - 64
= 61
A) Ta có: 28 x ( 231 + 69) + 72 x ( 231 + 69)
= ( 28 + 72 ) x ( 231 + 69)
= 100 x 300
= 30 000
b) 2017 - { 52 x 22 - 11 [ 72 - 5 x 23 + 8 x (112 - 121) ] }
= 2017 - { 100 - 11 [ 49 - 40 + 8 x 0 ] }
= 2017 - { 100 - 1 [ 9 + 0 ]
= 2017 - { 100 - 1 x 9 }
= 2017 - { 99 x 9 }
= 2017 - 891
= 1126
c) 10 - { [ ( x : 3 + 17) : 10 + 2 x 24 ] : 10 } = 5
=> { [( x : 3 + 17 ) : 10 + 2 x 16 ] : 10 } = 10 - 5 = 5
=> [ ( x : 3 + 17) : 19 + 32 ] = 5 x 10 = 50
=> ( x : 3 + 17 ) : 19 = 50 - 32 = 18
=> x : 3 + 17 = 18 x 19 = 342
=> x : 3 = 342 - 17 = 325
=> x = 325 x 3
=> x = 975
Vậy x = 975
a) 2010 - 2000 : [486 - 2(72 - 6)]
= 2010 - 2000 : [486 - 2(49 - 6)]
= 2010 - 2000 : [486 - 2 . 43]
= 2010 - 2000 : [486 - 86]
= 2010 - 2000 : 400
= 2010 - 5
= 2005
b) 2345 - 1000 : [19 - 2(21 - 18)2 ]
= 2345 - 1000 : [19 - 2 . 32 ]
= 2345 - 1000 : [19 - 18]
= 2345 - 1000 : 1
= 2345 - 1000
= 1345
c) 128 - [68 + 8(37 - 35)2 ] : 4
= 128 - [68 + 8 . 22 ] : 4
= 128 - [68 + 32 ] : 4
= 128 - 100 : 4
= 128 - 25
= 103
d) 568 - {5[143 - (4 - 1)2 ] + 10} : 10
= 568 - {5[143 - 9 ] + 10} : 10
= 568 - {5 . 134 + 10 } : 10
= 658 - {670 + 10 } : 10
= 658 - 680 : 10
= 658 - 68
= 590
a) \(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
=\(\left(2^3.9^4+9^3.9.5\right):9^2\left(10-1\right)\)
= \(\left(8-9^4+9^4.5\right):9^2.9\)
=\(9^4\left(8-5\right):9^3\)
=\(9^4.3:9^3\)
=\(9^4:9^3.3\)
=\(9.3\)
=\(27\)
\(a)\)\(47-\left[\left(45.2^4-5^2.12\right)\div14\right]\)
\(=\)\(47-\left[\left(45.16-25.12\right)\div14\right]\)
\(=\)\(47-\left[\left(720-300\right)\div14\right]\)
\(=\)\(47-\left[420\div14\right]\)
\(=\)\(47-30\)
\(=\)\(17\)
\(b)\)\(10-\left[\left(8^2-48\right).5+\left(2^3.10+8\right)\right]\div28\)
\(=\)\(10-\left[\left(64-48\right).5+\left(8.10+8\right)\right]\div28\)
\(=\)\(10-\left[16.5+\left(80+8\right)\right]\div28\)
\(=\)\(10-\left[16.5+88\right]\div28\)
\(=\)\(10-\left[80+88\right]\div28\)
\(=\)\(10-168\div28\)
\(=\)\(10-6\)
\(=\)\(4\)
c) \(2345-1000:\left[19-2\left(21-18\right)^2\right]\)
= \(2345-1000:\left[19-2.3^2\right]\)
= \(2345-1000:\left[19-2.9\right]\)
= \(2345-1000:\left[19-18\right]\)
= \(2345-1000:1\)
= \(1345\)
5.104 - 4.103 + 6.102 - 5.10
= 10(5.103 - 4.102 + 6.10 - 5)
= 10(5.1000 - 4.100 + 60 - 5)
= 10.4665
= 46650
5 . 104 - 4 . 103 + 6 . 102 - 5 . 10
= 10 .(5 . 103 - 4 . 102 + 6 . 10 - 5 )
= 10 . ( 5 . 1000 - 4 . 100 + 60 - 5 )
= 10 . ( 5000 - 400 + 60 - 5 )
= 10 . 4655
= 46550