Evaluate the following numerical expression using the correct order of operations (BODMAS)… — State PSC Exam

Evaluate the following numerical expression using the correct order of operations (BODMAS):

40 - 4 \times (6 - 2) \div 2 + 5

What is the final result?

The final result of the expression is 37.

Following the BODMAS rule: first simplify the bracket

(6 - 2) = 4

. Next, execute multiplication and division from left to right:

4 \times 4 = 16

and

16 \div 2 = 8

. The expression reduces to

40 - 8 + 5

. Finally, carry out subtraction and addition from left to right:

40 - 8 = 32

, and

32 + 5 = 37

Evaluate the expression inside the brackets

6 - 2 = 4

According to BODMAS, operations inside brackets (B) take highest priority.

Perform multiplication and division from left to right

4 \times 4 = 16

, then

16 \div 2 = 8

Multiplication and Division (DM) carry equal priority and are evaluated in order from left to right.

Perform addition and subtraction from left to right

40 - 8 + 5 = 32 + 5 = 37

Addition and Subtraction (AS) carry equal priority and are evaluated sequentially from left to right.

BODMAS Order of Operations

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