What is the simplified value of the following mathematical expression evaluated using the … — State PSC Exam

What is the simplified value of the following mathematical expression evaluated using the standard BODMAS rule?

24 + 16 \div 4 \times 2 - (7 - \overline{5 - 2})

Following the standard order of operations (BODMAS), we first simplify the expression under the vinculum bar:

5 - 2 = 3

. Next, we complete the subtraction inside the parentheses:

7 - 3 = 4

. Then, we resolve division and multiplication from left to right:

16 \div 4 = 4

, and

4 \times 2 = 8

. Finally, combining addition and subtraction gives

24 + 8 - 4 = 28

Evaluate the expression under the vinculum (bar)

\overline{5 - 2} = 3

The vinculum takes the highest priority in bracket operations.

Evaluate the round brackets

(7 - 3) = 4

Operations within brackets must be solved next.

Perform Division and Multiplication from left to right

16 \div 4 = 4; \quad 4 \times 2 = 8

Division and multiplication share equal precedence and are performed in order from left to right.

Perform Addition and Subtraction from left to right

24 + 8 - 4 = 28

Final addition and subtraction operations are executed left-to-right.

BODMAS Rule with Vinculum (Order of Operations)

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