Question

How do you simplify \[54 - \dfrac{6}{2} + 6\] using order of operations?

Answer 1

Hint: In this expression, we have an expression. In which we have to find the solution by using the rule of the order of operations. The order of operations is indicated by the acronym “PEMDAS”. All the letters of the acronym “PEMDAS” have specific indications. Where “P” stands for parentheses or brackets, and “E” stands for exponential or radicals, “M” stands for multiplication in order from left to right, “D” stands for division in order from left to right, “A” stands for addition in order from left to right, “S” stands for subtraction in order from left to right.

Complete step by step answer:
In this expression, an expression given, that wants to solve. First, we know about the rule, the order of operations, and what is order of operations. The order of operations is do everything inside of parentheses or brackets first. Next any exponent or roots. Then, Next multiplication in order from left to right. Then, Next division in order from left to right. Then, Next addition in order from left to right. Then, Next subtraction in order from left to right.
Now, come to the question. The expression is given below.
\[ \Rightarrow 54 - \dfrac{6}{2} + 6\]
First, we solve for parentheses or brackets first according to the rule the order of operation. There are no parentheses or brackets, So, there is no change in expression.
\[ \Rightarrow 54 - \dfrac{6}{2} + 6\]
Then, we solve for exponent or roots according to the rule the order of operation. There is not any exponent or roots, So, there is no change in expression.
\[ \Rightarrow 54 - \dfrac{6}{2} + 6\]
Then, we solve for multiplication from left to right according to the rule the order of operations. There is not any multiplication operation. So, there is no change in expression.
\[ \Rightarrow 54 - \dfrac{6}{2} + 6\]
Then, we solve for division from left to right according to the rule the order of operations. The numerator \[6\] is divided by the denominator \[2\]. So, the expression is.
\[ \Rightarrow 54 - 3 + 6\]
Then, we solve for addition from left to right according to the rule the order of operations. The number \[54\] is addition with the number \[6\]. So, the expression is.
\[ \Rightarrow 60 - 3\]
Then, we solve for subtraction from left to right according to the rule the order of operations. The number \[3\] is subtracted from the number \[60\]. So, the expression is.
\[\therefore 57\]

The value for the given expression \[54 - \dfrac{6}{2} + 6\] is \[57\].

Note:
As we know that to simplify the operation we need to follow the operation rule, so to make the calculation easy and simple first apply the brackets as per the operation rules or order of operations which is indicated by the acronym “PEMDAS”.