Combined operations with integers

Do the following operations:

  1. $(-6)+3\cdot(-2)=$
  2. $(4+7)\cdot 2^2=$
  3. $(18+(-3)):5-(-2)=$
  • There is no operation in brackets, therefore we pass to the next step.
  • There is no power, therefore we pass to the next step.
  • There is only a multiplication and there is no division. It is: $3\cdot(-2)=-6$. So far, the expression is: $(-6)+(-6)$
  • There is only one addition and there is no subtraction: $(-6)+(-6)=-12$ Therefore: $(-6)+3\cdot(-2)=-12$.
  • There is an operation in brackets: $(4+7)=11$ Therefore, we have: $11 \cdot 2^2$
  • There is a power: $2^2=4$. And so, we have: $11\cdot4$
  • We do the multiplication, the result: $11\cdot4=44$ So: $(4+7)\cdot 2^2=44$
  • There is an operation in brackets: $(18+(-3))=15$ Therefore, it is: $15:5-(-2)$
  • There is no power. Therefore, we pass to the next step.
  • There is no multiplication, but there is a division. And it is: $15:5=3$ The expression is: $3-(-2)$
  • There is only a subtraction: $3-(-2)=5$ Therefore: $(18+(-3)):5-(-2)=5$
  1. $(-6)+3\cdot(-2)=-12$
  2. $(4+7)\cdot 2^2=44$
  3. $(18+(-3)):5-(-2)=5$
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