Question

How do you simplify \[6 \div 2\] \[\left( {1 + 2} \right)\]using PEMDAS?

Answer 1

Hint:
The given problem is based on PEMDAS. To solve the problem we can apply the rules of PEMDAS on a given problem. Then we can simplify the results .In that way we can conclude the result of the given problem. For that we have some discussion on PEMDAS .Then we are able to find the solution of the problem.

Complete Step by step Solution:
The given problem can be solved by using PEMDAS .Let us discuss the rule of PEMDAS.
P stands for Parenthesis
E stands for Exponents
MD stands for Multiplication and Division
AS stands for Addition and Subtraction
For solving the problem we have to deal with parenthesis first, for that we can evaluate the expression \[1 + 2\]as:
\[1 + 2{\text{ }} = {\text{ }}3{\text{ }} \ldots \ldots \ldots \ldots \ldots ..\left( A \right)\]
We have given the term \[6 \div 2\]\[\left( {1 + 2} \right)\]
Substituting the value from equation \[\left( A \right)\]in above term it becomes:
\[6 \div 2\left( 3 \right)\]
or we can write it as
\[6 \div 2 \times 3.............(B)\]
Now, evaluating the equation left to right. Since, it is multiplication and division
Dividing \[6\] by \[2\] we get
Substituting the value \[3\] in equation \[\left( B \right)\]we get
\[ = 3 \times 3\]
\[ \Rightarrow 9\]
Therefore multiply \[3\] by \[3\] we get \[9\].
We can find the solution by using PEMDAS.

Note:
The above question is solved in many ways. But, there is a condition applied to it. It should be solved by PEMDAS. So, we can solve the problem by applying the PEMDAS rule, In PEMDAS two or more operations in a single expression PEMDAS tell us what to calculate first, second, third and so on until the calculation is complete.