Question

How do you evaluate $\left( 4+6 \right)\times 3+7-12\times 8=?$

Answer 1

Hint: In this problem we need to evaluate the given expression which is having different arithmetic operations. So, we are going to use PEMDAS rules. In this rule we will first simplify the Parentheses, Exponents, Multiply, Divide, Add, Subtract from the left to right. So, in the given expression we can list all the operations we have and simplify them one by one by using the above rule to get the required result.

Complete step-by-step answer:
Given expression is $\left( 4+6 \right)\times 3+7-12\times 8$.
In the above expression we have parentheses, multiplication, addition, subtraction.
According to the PEMDAS rule simplifying the parentheses part which is $4+6=10$. Substituting this value in the given expression, then we will get
$\Rightarrow \left( 4+6 \right)\times 3+7-12\times 8=10\times 3+7-12\times 8$
In the above expression we don’t have any exponents and going to the multiplication part. In the above expression we have two multiplication parts which are $10\times 3$, $12\times 8$. Substituting the values $10\times 3=30$, $12\times 8=96$ in the above expression, then we will get
$\Rightarrow \left( 4+6 \right)\times 3+7-12\times 8=30+7-96$
In the above expression we don’t have any division symbol so moving to the next step which is addition. In the above expression we have the additional part which is $30+7$. Substituting the value $30+7=37$ in the given expression, then we will have
$\Rightarrow \left( 4+6 \right)\times 3+7-12\times 8=37-96$
In the above expression we have lastly subtraction, so doing the subtraction we will get the result as
$\Rightarrow \left( 4+6 \right)\times 3+7-12\times 8=-59$

Note: This type of problem needs to have a step by step procedure so that one must not get confused in solving the problem. So we have to check for each operation if it is present in the given expression then we will simplify it and replace it in the given expression if it is not present in the expression we simply skip the operation and move to the next operation.