Question

How do you simplify $ 9-3\left( 2+6 \right)\div 6-2\times 5 $ using PEMDAS rule?

Answer 1

Hint: We start solving the problem by recalling the PEMDAS as Parentheses, Exponents, Multiplication, Division, Addition, Subtraction which is the order of operations we need to follow in case of problems containing mixed operations. We first perform all the operations present in Parentheses. We then perform the Multiplication operations present in the obtained result. We then perform the Division operations present in the obtained result. We then perform the Addition and Subtraction operations to get the required answer.

Complete step by step answer:
According to the problem, we are asked to simplify $ 9-3\left( 2+6 \right)\div 6-2\times 5 $ using PEMDAS rule.
We have given $ 9-3\left( 2+6 \right)\div 6-2\times 5 $ ---(1).
Let us recall the PEMDAS rule for solving this type of problem.
We know that PEMDAS is defined as Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We need to follow this order if any problem has mixed operation as given in the present problem.
Let us first solve the operation present in Parentheses in equation (1).
 $ \Rightarrow 9-3\left( 2+6 \right)\div 6-2\times 5=9-3\left( 8 \right)\div 6-2\times 5 $ .
We can see that there are no exponents so, let us perform multiplication operations present in the obtained result.
 $ \Rightarrow 9-3\left( 2+6 \right)\div 6-2\times 5=9-24\div 6-10 $ .
Now, let us perform division operations present in the obtained result.
 $ \Rightarrow 9-3\left( 2+6 \right)\div 6-2\times 5=9-4-10 $ .
Now, let us perform addition and subtraction operations in the obtained result.
 $ \Rightarrow 9-3\left( 2+6 \right)\div 6-2\times 5=-5 $ .
$ \therefore $ We have found the value of $ 9-3\left( 2+6 \right)\div 6-2\times 5 $ using PEMDAS rule as –5.

Note:
We should not make mistakes while solving this problem. Whenever we get this type of problem, we first recall the required definitions to get the required answers. We should also know that PEMDAS is also known as the BODMAS rule which will give similar results. Similarly, we can expect problems to find the value of $ 2+3\times 6\div 8\left( 5-3 \right)-3 $ using PEMDAS rule.