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- \(=\left(-23+27-13+47-23+37-13+47\right):45\)\(=\left(-23.2-13.2+27.2+47.2\right):45=\left(-72+148\right):45=\frac{76}{45}\)
- \(=59:\left(111-522+115-23\right)=59:\left(-319\right)\)
a) \(-524\cdot\left[23+\left(-45\right)\right]+524\cdot\left(-45+123\right)\)
\(=-524\cdot\left[\left(23-45\right)-\left(-45+123\right)\right]\)
\(=-524\cdot\left(23-45+45-123\right)\)
\(=-524\cdot-100\)
\(=52400\)
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) \(25\cdot\left(-8\right)\cdot\left(-25\right)\cdot9\cdot4\cdot100^0:3\)
\(=\left(-1000\right)\cdot\left(-25\right)\cdot9\cdot4\cdot1:3\)
\(=25000\cdot9\cdot4:3\)
\(=25000\cdot3\cdot4\)
\(=100000\cdot3\)
\(=300000\)
e. = - 1080 + 120
= -960
f. (-41) x 59 + ( -41).2 + 59 x 41 - 59 x 2
= 2 x ( -41 - 59 )
= 2 x ( -100)
= -200
g, ( 135 - 35 ) . ( -37 ) + 37 . ( -42 - 58 )
= 100 : ( -37 ) + 37 . -100
= 100 : ( -37 ) + ( 37 . -10 ) . -100
= 100 : ( -37 ) + ( -37 ) . -100
= ( -37 ) . ( 100 + -100 )
= ( -37 ) . 0
= 0
a: =-45*24+120
=-1080+120
=-960
b: =134(-1+51-48)
=134*2
=268
c: =-41*59-41*2+59*41-59*2
=-2(41+59)
=-200
a: \(\left[\left(-59\right)+71\right]-\left[\left(-83\right)-\left(-95\right)\right]\)
\(=\left[71-59\right]-\left[-83+95\right]\)
=12-12
=0
b: \(\left(435-167-89\right)-\left(435-89\right)\)
\(=435-167-89-435+89\)
\(=\left(435-435\right)+\left(89-89\right)-167\)
=0+0-167
=-167
c: \(\left(-624\right)-\left[\left(376+245\right)-45\right]\)
\(=\left(-624\right)-\left[376+245-45\right]\)
\(=\left(-624\right)-376-200\)
=-1000-200
=-1200
= - 4
\(=\left[45+\left(-45\right)\right]+\left(-59+55\right)\\ =0+\left(-4\right)=-4\)