Question

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Answer 1

`a)79-(79+2022)+2023`

`=79-79-2022+2023`

`=0+2023-2022`

`=1` 

`b)29(2022+2021)-2022*29+(120-49)*2021`

`=29*(2022+2021-2022)+71*2021`

`=29*2021+71*2021`

`=2021*(29+71)`

`=2021*100`

`=202100`

`c)-43*11+43*(-101)+43*12`

`=43*(-11-101+12)`

`=43*(-100)`

`=-4300`

`d)(-4)*(-9)*(-125)*(-7)`

`=4*9*125*7`

`=(4*125)*(9*7)`

`=500*63`

`=31500` 

Answer 2

e: \(\left(-1365\right)-\left(75-365\right)\)

\(=-1365-75+365\)

=-1000-75

=-1075

f: \(\left(-154\right)\cdot\left(-235\right)+154\cdot\left(-34\right)-154\)

\(=154\cdot235-154\cdot34-154\)

\(=154\left(235-34-1\right)=154\cdot200=30800\)

g: \(3^2:3+1=3+1=4\)

h: \(11+12+13+14+15+16+17+18+19\)

\(=\left(11+19\right)+\left(12+18\right)+\left(13+17\right)+\left(14+16\right)+15\)

=30+30+30+30+15

=120+15

=135