What is the result when the mathematical expression 45 - [12 + (8 \div 2 \times 3)] is sim… — State PSC Exam

What is the result when the mathematical expression

45 - [12 + (8 \div 2 \times 3)]

is simplified strictly adhering to the standard BODMAS order of operations?

Answer: 21

Following the BODMAS rule, operations inside the innermost parentheses are solved first from left to right:

8 \div 2 = 4

, then

4 \times 3 = 12

. Next, addition inside the square brackets gives

12 + 12 = 24

. Finally, subtracting 24 from 45 yields 21.

Evaluate division inside the parentheses

8 ÷ 2 = 4

Division and multiplication have equal priority and are evaluated from left to right inside parentheses.

Evaluate multiplication inside the parentheses

4 × 3 = 12

Completing the operations within the parentheses.

Add the values inside the square brackets

12 + 12 = 24

Evaluating the bracketed addition.

Subtract from the outer term

45 - 24 = 21

Performing final subtraction outside the brackets.

BODMAS Rule (Order of Operations)

Estimated Time:45s

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