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a: \(61\cdot45+61\cdot23-68\cdot51\)
\(=61\left(45+23\right)-68\cdot51\)
\(=68\cdot61-68\cdot51\)
\(=68\left(61-51\right)=68\cdot10=680\)
b: \(3\cdot5^2-\left(75-4\cdot2^3\right)\)
\(=75-75+4\cdot8\)
\(=4\cdot8=32\)
c: \(36:\left\{2^2\cdot5-\left[30-\left(5-1\right)^2\right]\right\}\)
\(=\dfrac{36}{20-30+4^2}\)
\(=\dfrac{36}{-10+16}=\dfrac{36}{6}=6\)
d: \(\left(12\cdot49-3\cdot2^2\cdot7^2\right):\left(2020\cdot2021\right)\)
\(=\dfrac{\left(12\cdot49-12\cdot49\right)}{2020\cdot2021}=0\)
a ) 1 12 + 2 3 + − 3 4 = 1 12 + 8 12 + − 9 12 = 0
b ) 1 2 − 2 5 + − 7 10 = 5 10 − 4 10 + − 7 10 = − 6 10 = − 3 5 c ) 1 2 + − 3 7 + 5 2 + − 4 7 = 1 2 + 5 2 + − 3 7 + − 4 7 = 2 d ) 9 8 − 4 7 + − 1 8 + 11 7 = 9 8 + − 1 8 + − 4 7 + 11 7 = 2 e ) 6 11 + − 2 3 + 5 11 = 6 11 + 5 11 + − 2 3 = 1 3 f ) − 1 2 + 11 4 − 11 4 − 1 2 = − 1 2 + 11 4 − 11 4 + 1 2 = 0
- [ - 171 + ( 171 + 23 )] - [ 172 -( 38 + 172) ] - 49
= - [ - 171 + 171 + 23] - [ 172 -38 - 172] - 49
= -23 - ( -38) - 49
= -23 +38 -49
= 15 - 49
= - 34
a/57x23+23x44-23
57x23+23x44-23x1
=23x(57+44-1)
=23x100
=2300
b
a) 57 . 23 + 23 . 44 - 23
= 57 . 23 + 23 . 44 - 23 . 1
= ( 57 + 44 - 1 ) . 23
= 100 . 23
= 2300
b) 1672 - [ 49 + ( 13 - 7 )3 ]
= 1672 - [ 49 + 63 ]
= 1672 - [ 49 + 216 ]
= 1672 - 265
= 1407
c) 50 : { 2 . [ 52 - ( 3 . 5 - 22 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 5 - 4 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 1 )3 ] }
= 50 : { 2 . [ 52 - 27 ] }
= 50 : { 2 . 25 }
= 50 : 50
= 1
d) -2014 + (-999) + 14 + (-2001)
= ( -2014 + 14 ) + [ (-999) + (-2001) ]
= (-2000) + (-3000)
= -5000
Học tốt nhé bạn !
a) \(3.5^2+15.2^2-26\div2\)
= 3.25 + 15.4 - 13
= 75 + 60 - 13
= 135 - 13
= 122
b) \(5^3.2-100\div4+2^3.5\)
= 125.2 - 25 + 8.5
= 250 - 25 + 40
= 225 + 40
= 265
c)\(6^2\div9+50.2-3^3.33\)
= 36 : 9 + 100 - 9.33
= 4 + 100 - 297
= 104 - 297
= -193
d)\(3^2.5+2^3.10-81\div3\)
= 9.5 + 8.10 - 27
= 45 + 80 - 27
= 125 - 27
= 98
e) \(5^{13}\div5^{10}-25.2^2\)
= 53 - 25.4
= 125 - 100
= 25
f) \(20\div2^2+5^9\div5^8\)
= 20 : 4 + 5
= 5 + 5
= 10
a) 2 3 + 2 5 − 2 9 4 3 + 4 5 − 4 9 = 2 1 3 + 1 5 − 1 9 4 1 3 + 1 5 − 1 9 = 1 2
b) 3 4 + 3 7 − 3 8 5 4 + 5 7 − 5 8 + 1 = 3 1 4 + 1 7 − 1 8 5 1 4 + 1 7 − 1 8 + 1 = 3 5 + 1 = 8 5
\(23.49+23.52-500\)
\(=23.\left(49+52\right)-500\)
\(=23.100+23-100.5\)
\(=100.\left(23-5\right)+23\)
\(=100.18+23\)
\(=1800+23\)
\(=1823\)
23.(49+52)-500
=23.101-500
=2323-50
=1823