(45.10.56 + 28.255) : (28.54 + 57.25)
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a, A = 27.36+73.99+27.14 - 49.73
= 27(36+14)+73(99 - 49)
= 27.50 + 73.50 = 50(27+73) = 50.100 = 5000
b, B = 4 5 . 10 . 5 6 + 25 5 . 2 8 : 2 8 . 5 4 + 5 7 . 2 5
Ta có: 4 5 = 2 2 5 = 2 2 . 5 = 2 10 ; 25 5 = 5 2 5 = 5 2 . 5 = 5 10
=> 4 5 . 10 . 5 6 + 25 5 . 2 8 = 2 10 . 2 . 5 . 5 6 + 5 10 . 2 8 = 2 11 . 5 7 + 5 10 . 2 8 = 2 8 . 2 3 . 5 7 + 5 7 . 5 3 . 2 8 = 2 8 . 5 7 . 2 3 + 5 3
Ta lại có: 2 8 . 5 4 + 5 7 . 2 5 = 2 5 . 2 3 . 5 4 + 5 4 . 5 3 . 2 5 = 2 5 . 5 4 . 2 3 + 5 3
Suy ra B = 2 8 . 5 7 . 2 3 + 5 3 :[ 2 5 . 5 4 . 2 3 + 5 3 ] = 2 8 . 5 7 : 2 5 . 5 4
= 2 8 : 2 5 . 5 7 : 5 4 = 2 3 . 5 3 = 2 . 5 3 = 10 3 = 1000
a, A = 27.36+73.99+27.14 - 49.73
= 27(36+14)+73(99 - 49)
= 27.50 + 73.50 = 50(27+73) = 50.100 = 5000
b, B = 4 5 . 10 . 5 6 + 25 5 . 2 8 : 2 8 . 5 4 + 5 7 . 2 5
Ta có: 4 5 = 2 2 5 = 2 2 . 5 = 2 10 ; 25 5 = 5 2 5 = 5 2 . 5 = 5 10
=> 4 5 . 10 . 5 6 + 25 5 . 2 8 = 2 10 . 2 . 5 . 5 6 + 5 10 . 2 8 = 2 11 . 5 7 + 5 10 . 2 8 = 2 8 . 2 3 . 5 7 + 5 7 . 5 3 . 2 8 = 2 8 . 5 7 . 2 3 + 5 3
Ta lại có: 2 8 . 5 4 + 5 7 . 2 5 = 2 5 . 2 3 . 5 4 + 5 4 . 5 3 . 2 5 = 2 5 . 5 4 . 2 3 + 5 3
Suy ra B = 2 8 . 5 7 . 2 3 + 5 3 :[ 2 5 . 5 4 . 2 3 + 5 3 ] = 2 8 . 5 7 : 2 5 . 5 4
= 2 8 : 2 5 . 5 7 : 5 4 = 2 3 . 5 3 = 2 . 5 3 = 10 3 = 1000
1)
33 . 18 + 72 . 42 - 41 . 18
= 33 . 18 + 18 . 43 - 41 . 18
= 18 . ( 33 + 43 - 41 )
= 18 . 50
= 900
2) ( 56 . 46 - 25 . 23 ) : 23
= ( 112 . 23 - 25 . 23 ) : 23
= ( 112 - 25 ) . 23 : 23
= 87 . 23 : 23
= 87
3) ( 76 . 34 - 19 . 64 ) : ( 38 . 9 )
= ( 19 . 136 - 19 . 64 ) : ( 19 . 18 )
= 19 . ( 136 - 64 ) : ( 19 . 18 )
= 19 . 72 : 19 . 18
= 19 . 4
= 76
4) ( 5 . 411 - 3 . 165 ) : 410
= ( 5 . 411 - 3 . 410 ) : 410
= ( 20 . 410 - 3 . 410 ) : 410
= ( 20 - 3 ) . 410 : 410
= 17
a) 34.15 + 34.85 = 34.(15+85) = 34.100 = 3400
b) 12.57 + 57.25 + 63.57 = 57.(12+25+63) = 57.100 = 5700
c) 36.28 + 36.82 + 64.69 + 64.41 = 36.(28+82) + 64(69+41) = 36.110 + 64.110 = 110.(36+64) = 11000
d) 2.31.12 + 4.6.42 + 8.27.3 = 24.31 + 24.42 + 24.27 = 24.(31+42+27) = 24.100 = 2400
3^3.18+72.4^2-41.18=27.18+18.64-41.18=18(27+64-41)=18.50=900
(56.46-25.23);23=(112.23-25.23):23=87.23:23=87
(28.54+56.36):21:2=(28.54+28.72):21:2=28.126:21:2=(28:2).(126:21)=14.6=84
(2+4+6+....+100)(36.333-108.111)=(2+4+6+100)(108.111-108.111)=0
(5.4^11-3.16^5):4^10=(5.4^11-3.4^10):4^10=5.4-3=17
a: \(=347\cdot4\cdot9\cdot400:8=347\cdot36\cdot50=624600\)
c: \(=16:\left\{400:\left[200-37-138\right]\right\}\)
\(=16:\left\{400:25\right\}=16:16=1\)
e: \(=46-\left[300:15\right]-2=46-20-2=24\)
\(=\left(2^{^{2^5}}.2.5.5^6+2^8.5^{2^5}\right):\left(2^8.5^4+5^7.2^5\right)\)
=\(=\left(2^{11}.5^7+2^85^{10}\right):2^5.5^4\left(2^3+5^3\right)\)
\(=2^8.5^7\left(2^3+5^3\right):2^5.5^4\left(2^3+5^3\right)=2^8.5^7:2^5.5^4=2^3.5^3=10^3=1000\)