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- [ - 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: \(61\cdot45+61\cdot23-68\cdot51\)
\(=61\left(45+23\right)-68\cdot51\)
\(=68\cdot61-68\cdot51\)
\(=68\left(61-51\right)=68\cdot10=680\)
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
Bài làm
\(\frac{x+52}{21}+\frac{x+51}{22}=\frac{x+50}{23}+\frac{x+49}{24}\)
\(\Leftrightarrow\frac{x+52}{21}+\frac{x+51}{22}+2=\frac{x+50}{23}+\frac{x+49}{24}+2\)
\(\Leftrightarrow\left(\frac{x+52}{21}+1\right)+\left(\frac{x+51}{22}+1\right)=\left(\frac{x+50}{23}+1\right)+\left(\frac{x+49}{24}+1\right)\)
\(\Leftrightarrow\left(\frac{x+52}{21}+\frac{21}{21}\right)+\left(\frac{x+51}{22}+\frac{22}{22}\right)=\left(\frac{x+50}{23}+\frac{23}{23}\right)+\left(\frac{x+49}{24}+\frac{24}{24}\right)\)
\(\Leftrightarrow\frac{x+52+21}{21}+\frac{x+51+22}{22}=\frac{x+50+23}{23}+\frac{x+49+24}{24}\)
\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}=\frac{x+73}{23}+\frac{x+73}{24}\)
\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}-\frac{x+73}{23}-\frac{x+73}{24}=0\)
\(\Leftrightarrow\left(x+73\right)\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\right)=0\)
\(\Leftrightarrow x+73=0\)
\(\Leftrightarrow x=-73\)
Vậy x = -73
# Học tốt #
\(\frac{x+52}{21}+\frac{x+51}{22}=\frac{x+50}{23}+\frac{x+49}{24}\)
\(\Leftrightarrow\frac{x+52}{21}+\frac{x+51}{22}-\frac{x+50}{23}-\frac{x+49}{24}=0\)
\(\Leftrightarrow\left(\frac{x+52}{21}+1\right)+\left(\frac{x+51}{22}+1\right)-\left(\frac{x+50}{23}+1\right)-\left(\frac{x+49}{24}+1\right)=0\)
\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}-\frac{x+73}{23}-\frac{x+73}{24}=0\)
\(\Leftrightarrow\left(x+73\right)\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\right)=0\)
=> \(x+73=0\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\ne0\right)\)
<=> x=-73
24 x 23 + 3 x 52
= 3 x 8 x 23 + 3 x 52
= 3 x 184 + 3 x 52
= 3 x ( 184 + 52 )
= 3 x 236
= 708
\(23.49+23.52-500\)
\(=23.\left(49+52\right)-500\)
\(=23.100+23-100.5\)
\(=100.\left(23-5\right)+23\)
\(=100.18+23\)
\(=1800+23\)
\(=1823\)
23.(49+52)-500
=23.101-500
=2323-50
=1823