Question

Start with the integer $-8$ . Add $-12$ to it, subtract $10$ from the result. Divide the result by $3$ and multiply the answer by $-2$. What do you get?

Answer 1

Hint: To solve the question we need to know the concept of operation in the integers. The calculation in this question will be step by step. We need to work on the algebraic operation, for the solving of the questions.

Complete step by step answer:
The question asks us to consider an integer $-8$, and then solve the problem which says we are then supposed to add $-12$ to the integer we have. The next step is to subtract $10$ from the sum we got. The result after subtraction will be divided by $3$, which will further be multiplied by $-2$. The solving of the problem will be done in the similar way as explained above.
Now starting with the calculation we will add $-8$ to $-12$. The result we get is:
$\Rightarrow -8-12$
Since both the integers are negative, so the numbers will be added forming a negative integer, which is:
$\Rightarrow -20$
The second step is to subtract $10$ from the above result which is $-20$. On calculating we get:
$\Rightarrow -20-\left( 10 \right)$
$\Rightarrow -20-10$
In this step too, the integers are negative. So the result we get is:
$\Rightarrow -30$
Further condition given to us is to divide the result by $3$. The calculation results in:
$\Rightarrow \dfrac{-30}{3}$
In this case the integers are unlike so the sign used will be negative. The value we get after calculation is:
\[\Rightarrow -10\]
The last condition given to us is to multiply the result with $-2$. On doing this we get:
\[\Rightarrow -10\times \left( -2 \right)\]
In the above expression negative integers are being multiplied so the product we will get will be positive as two negative integers give a positive product. So the answer is:
\[\Rightarrow 20\]
$\therefore $ The value we get after calculating the above problem is $20$.

Note: These kinds of problems will be solved step by step as calculation in each step requires the result of the previous step. We can check whether the answer is correct or not by performing the step from the back and interchanging the operation.