Combined operations

Problems

Do the following operations:

  1. $$(-6)+3\cdot(-2)=$$
  2. $$(4+7)\cdot 2^2=$$
  3. $$(18+(-3)):5-(-2)=$$
See development and solution

Development:

1)

  • 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: $$(-6)+3\cdot(-2)=-12$$.

2)

  • 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: $$(4+7)\cdot 2^2=44$$

3)

  • 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: $$(18+(-3)):5-(-2)=5$$

Solution:

  1. $$(-6)+3\cdot(-2)=-12$$
  2. $$(4+7)\cdot 2^2=44$$
  3. $$(18+(-3)):5-(-2)=5$$
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