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-524[23+(-45)]+524(-45+123)\(=524.[-23+\left(-45\right)+\left(-45\right)+123]\)
\(=524.[\left(-23+123\right)+\left(-45+-45\right)]\)
\(=524.[100+\left(-90\right)]\)
\(=524.10=5240\)
HTDT


Giải:
a) \(\left(-9\right)+10+\left(-10\right)+\left(-45\right)+55\)
\(=-9+10-10-45+55\)
\(=-9+\left(10-10\right)+\left(-45+55\right)\)
\(=-9+10=1\)
b) \(123+\left|-25\right|+\left(-\left|25\right|\right)-\left(-23\right)\)
\(=123+25+\left(-25\right)+23\)
\(=123+25-25+23\)
\(=123+\left(25-25\right)+23\)
\(=123+23=146\)

a)524.[23+(-45)] + 524.(-45+123)
=524.(-22) + 524.78
=524.(-22+78)
=524.100
=52400

( -23 ) + 105 = 105 - 23
= 82
78 + ( -123 ) = -( 123 - 78 )
= -45
( -23) + 13 = -( 23 - 13 )
= -10
( -23 ) + ( -13 ) = -( 23 + 13 )
= - 36
( -75 ) + ( -50 ) = -( 75 + 50 )
= -125
( -20 ) + | -88 | = ( -20 ) + 88
= 88 - 20
= 68
| -37 | + (-|15|) = 37 + ( -15 )
= 37 - 15
= 22
(-|-22|) + ( -|16|) = ( -22 ) + ( -16 )
= -38
( -23 ) + 13 + ( -17 ) + 57 = [(-23) + 13 ] + [(-17) + 57 ]
= 10 + 40
= 50
(-123) + |-13| + (-7) = (-123) + 13 + (-7)
= 110 + (-7)
= 103
|0| + |45| + (-|-455|) + |-796| = 0 + 45 + (-455) + 796
= [ 796 + (-455) ] + 45
= 341 + 45
= 386
Tui làm chi tiết lắm rồi đó ^_^
\(=-23-\left(-105\right)=82\)
\(=78-123=-45\)
\(=-23-\left(-13\right)=-10\)
\(=-36\)
\(=-125\)
\(=-20-\left(-88\right)=68\)
Phần dưới tự làm nha

a) \(-524\cdot\left[23+\left(-45\right)\right]+524\cdot\left(-45+123\right)\)
\(=-524\cdot\left[\left(23-45\right)-\left(-45+123\right)\right]\)
\(=-524\cdot\left(23-45+45-123\right)\)
\(=-524\cdot-100\)
\(=52400\)
b) \(47\cdot69-31\cdot\left(-47\right)\)
\(=-47\cdot\left(-69-31\right)\)
\(=-47\cdot-100\)
\(=4700\)
c) \(16\left(38-2\right)-38\left(16-1\right)\)
\(=16\cdot38-16\cdot2-38\cdot16+38\)
\(=-16\cdot2+38\)
\(=-36+38\)
\(=2\)
d) \(\left(-41\right)\cdot\left(59+2\right)+59\cdot\left(41-2\right)\)
\(=-41\cdot59-41\cdot2+41\cdot59-2\cdot59\)
\(=-41\cdot2-2\cdot59\)
\(=-2\left(41+59\right)\)
\(=-2\cdot100\)
\(=-200\)
e) \(25\cdot\left(-8\right)\cdot\left(-25\right)\cdot9\cdot4\cdot100^0:3\)
\(=\left(-1000\right)\cdot\left(-25\right)\cdot9\cdot4\cdot1:3\)
\(=25000\cdot9\cdot4:3\)
\(=25000\cdot3\cdot4\)
\(=100000\cdot3\)
\(=300000\)

- \(=\left(-23+27-13+47-23+37-13+47\right):45\)\(=\left(-23.2-13.2+27.2+47.2\right):45=\left(-72+148\right):45=\frac{76}{45}\)
- \(=59:\left(111-522+115-23\right)=59:\left(-319\right)\)

a, 3.(37 - \(x\)) - 56 = 1
3.(37 - \(x\)) = 1 + 56
3.(37 - \(x\)) = 57
37 - \(x\) = 57 : 3
37 - \(x\) = 19
\(x\) = 37 - 19
\(x\) = 18
b, 95 - (2\(x\) - 1).4 = 14
(2\(x\) - 1).4 = 95 - 14
(2\(x\) - 1).4 = 81
2\(x\) - 1 = 81 : 4
2\(x\) = \(\dfrac{81}{4}\) - 1
2\(x\) = \(\dfrac{85}{4}\)
\(x\) = \(\dfrac{85}{4}\) : 2
\(x\) = \(\dfrac{85}{8}\)

a) \(\left(-23\right)+13\left(-17\right)+57\)
\(=\left(-23\right)+\left(-221\right)+57\)
\(=-23-221+57\)
\(=-\left(23+221\right)+57\)
\(=-244+57\)
\(=-\left(244-57\right)\)
\(=-187\)
b) \(\left(-26\right)+\left(-6\right)+\left(-75\right)+\left(-50\right)\)
\(=-26-6-75-50\)
\(=-\left(26+6\right)-75-50\)
\(=-32-75-50\)
\(=-\left(32+75\right)-50\)
\(=-107-50\)
\(=-\left(107+50\right)\)
\(=-157\)
c) \(14+6+\left(-9\right)+\left(-14\right)\)
\(=14+6-9-14\)
\(=20-9-14\)
\(=11-14\)
\(=-3\)
d) \(\left(-123\right)+\left|13\right|+\left(-7\right)\)
\(=-123+13-7\)
\(=-\left(123-13\right)-7\)
\(=-110-7\)
\(=-\left(110+7\right)\)
\(=-117\)
e) \(\left|0\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-796\right|\)
\(=0+45+\left(-455\right)-796\)
\(=45-455-796\)
\(=-410-796\)
\(=-\left(410+796\right)\)
\(=-1206\)
f) \(-\left|-33\right|+\left(-12\right)+18+\left|45-40\right|-57\)
\(=-33-12+18+\left|5\right|-57\)
\(=-\left(33+12\right)+18+5-57\)
\(=-45+18+5-57\)
\(=-\left(45-18\right)+5-57\)
\(=-27+5-57\)
\(=-\left(27-5\right)-57\)
\(=-22-57\)
\(=-\left(22+57\right)\)
\(=-79\)
(-45)+123+45-23
=(-45+45)+(123-23)
=0+100
=100
\(a,\left(-45\right)+123+45-23\\ =\left(-45+45\right)+\left(123-23\right)\\ =0+100\\ =100\)