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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) \(25\cdot\left(-8\right)\cdot\left(-25\right)\cdot9\cdot4\cdot100^0:3\)
\(=\left(-1000\right)\cdot\left(-25\right)\cdot9\cdot4\cdot1:3\)
\(=25000\cdot9\cdot4:3\)
\(=25000\cdot3\cdot4\)
\(=100000\cdot3\)
\(=300000\)
-5 + (-37 - 45 + 51) - (-37 + 51)
= -5 - 37 - 45 + 51 + 37 - 51
= - (5 + 45) - (37 - 37) + (51 - 51)
= - 50 - 0 + 0
= - 50
- (15 - 47 + 58) + (15 - 47 ) + 3
= - 15 + 47 - 58 + 15 - 47 + 3
= (-15 + 15) + (47 - 47) - (58 - 3)
= 0 + 0 - 55
= - 55
(53 - 45 - 49) - (53 + 45 - 49)
= 53 - 45 - 49 - 53 - 45 + 49
= (53 - 53) + (-49 + 49) - (45 + 45)
= 0 + 0 - 90
= - 90
13 - 15 + 49 - 13 + 15 - 48
= (13 - 13) + (-15 + 15) + (49 - 48)
= 0 + 0 + 1
= 1
a ) 2 15 b ) − 2 5 c ) 1 d ) 1 e ) − 5 3 f ) 0 g ) 2 3 5 h ) 1
a) 3.
b) 1.
c ) 1 2 + − 2 3 + 1 6 + 3 7 = 3 6 + − 4 6 + 1 6 + 3 7 = 3 7 ; d ) 1 2 + 2 8 + 3 4 + 4 5 + 5 6 = 30 60 + 40 60 + 45 60 + 48 60 + 50 60 = 71 5
