Tính và so sánh
a. 12 - 8 với 12 + (-8)
b. (-45) - 67 với (-45) + (-67)
c. 0 - 36 với 0 + (-36)
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a) |67| + |-9| - 12
= 67 + 9 - 12
= 76 - 12
= 64
b) 2. |56| - |-8|
= 2.56 - 8
= 112 - 8
= 104
c) |-45| - | 25| :5
= 45 - 25 : 5
= 45 - 5
= 40
d) 2. | -360| + |-72|:|-36|
= 2.360 + 72 : 36
= 720 + 2
= 722
x - 36 : 18 = 12
x - 2 = 12
x = 12 + 2
x = 14
(x : 23 + 45) . 67 = 8911
x : 23 + 45 = 8911 : 67
x : 23 + 45 = 133
x : 23 = 133 - 45
x : 23 = 88
x = 88 . 23
x = 2024
(x - 5)(x - 7) = 0
=> \(\orbr{\begin{cases}x-5=0\\x-7=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=5\\x=7\end{cases}}\)
a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
a, 39 . 8 + 60 . 2 + 21 . 8
= 39 . 8 + 15 . 4 . 2 + 21 . 8
= 39 . 8 + 15 . 8 + 21 . 8
= 8 . ( 39 + 15 + 21 )
= 8 . 75
= 600
b, 12 . 53 + 53 . 172 - 53 . 84
= 53 . ( 12 + 172 - 84 )
= 53 . 100
= 5300
c, 35 . 34 + 35 . 86 + 65 . 75 + 65. 67 + 65.45
= 35 . ( 34 + 86 ) + 65 . ( 75 + 67 + 45 )
= 35 . 120 + 65 . 187
= 4200 + 12155
= 16355
d, 36 . 28 + 36 . 82 + 64 . 69 + 64 . 41
= 36 . ( 28 + 82 ) + 64 . ( 69 + 41 )
= 36 . 110 + 64 . 110
= 110 . ( 36 + 64 )
= 110 . 100
= 11000
a, 39 . 8 + 60 . 2 + 21 . 8
= 39 . 8 + 15 . 4 . 2 + 21 . 8
= 39 . 8 + 15 . 8 + 21 . 8
= 8 . ( 39 + 15 + 21 )
= 8 . 75
= 600
b, 12 . 53 + 53 . 172 - 53 . 84
= 53 . ( 12 + 172 - 84 )
= 53 . 100
= 5300
c, 35 . 34 + 35 . 86 + 65 . 75 + 65. 67 + 65.45
= 35 . ( 34 + 86 ) + 65 . ( 75 + 67 + 45 )
= 35 . 120 + 65 . 187
= 4200 + 12155
= 16355
d, 36 . 28 + 36 . 82 + 64 . 69 + 64 . 41
= 36 . ( 28 + 82 ) + 64 . ( 69 + 41 )
= 36 . 110 + 64 . 110
= 110 . ( 36 + 64 )
= 110 . 100
= 11000
`a,`
`31/23-(7/32+8/23)`
`=31/23-7/32-8/23`
`=(31/23-8/23)-7/32`
`=1-7/32=25/32`
`b,`
`38/45-(8/45-17/51-3/11)`
`=38/45-8/45+17/51+3/11`
`= (38/45-8/45)+17/51+3/11`
`=2/3+17/51+3/11`
`=1+3/11=14/11`
`c,`
`(1/3+12/67+13/41)-(79/67-28/41)`
`= 1/3+12/67+13/41-79/67+28/41`
`= 1/3+(12/67-79/67)+(13/41+28/41)`
`= 1/3+(-1)+1=1/3+(-1+1)=1/3+0=1/3`
`d,`
`1/5+(-1/6)+1/7+(-1/8)+1/9+1/8+(-1/7)+1/6+(-1/5)`
`= (1/5+ -1/5)+(-1/6+1/6)+(1/7+ -1/7)+(-1/8 +1/8)+1/9`
`= 0+0+0+0+1/9=1/9 .`
\(a\frac{31}{23}-\left(\frac{7}{23}+\frac{8}{23}\right)\)
\(=\frac{31}{23}-\frac{7}{23}-\frac{8}{23}\)
\(=\frac{16}{23}\)
Hot
tốt
!
a)\(\frac{31}{23}-\left(\frac{7}{23}+\frac{8}{23}\right)=\frac{31}{23}-\frac{8}{23}+\frac{7}{23}=1+\frac{7}{23}=1\frac{7}{23}\)
b)\(\left(\frac{1}{3}+\frac{12}{67}+\frac{13}{41}\right)-\left(\frac{79}{67}-\frac{28}{41}\right)=\left(\frac{13}{41}+\frac{28}{41}\right)+\left(\frac{79}{67}-\frac{12}{67}\right)-\frac{1}{3}=1+1-\frac{1}{3}\)
\(=2-\frac{1}{3}=\frac{5}{3}\)
73+36+968+914+3032
=73+(36+914)+(968+3032)
=73+950+4000
=5023
a) \(\left(-16\right).1253.\left(-8\right).\left(-4\right).\left(-3\right)\)
\(=16.1253.8.4.3>0\)
b) \(13.\left(-24\right).\left(-15\right).\left(-8\right).4< 0\)
Phương pháp : ta nhóm 2 số âm với nhau rồi nhân vào thì làm mất dấu \("-"\)
1
(-57).(67-34)-67.(34-57)
=-57.67+57.34-67.34+67.57
=(-57.67+67.57)+57.34-67.34
=0+34(57-67)
=34.(-10)
=-340
2
a)(-16).(-8).(-4).(-3)>0 ; 1253>0 => (-16).1253.(-8).(-4).(-3)>0
b)13.4>0 ; (-24).(-15).(-8)<0=>13.(-24).(-15).(-8).4<0
= nhau hết
a. bằng nhau ( = )
b. bằng nhau ( = )
c.bằng nhau ( = )