What is the numerical value of the mathematical expression 80 - [15 + (12 \div 3 \times 2)… — State PSC Exam

What is the numerical value of the mathematical expression

80 - [15 + (12 \div 3 \times 2)]

when simplified using the standard BODMAS rule?

Answer: 57

The simplified numerical value of the given expression is 57.

Evaluating the expression following the strict BODMAS order of operations: first simplify the innermost round brackets by doing division (

12 \div 3 = 4

) then multiplication (

4 \times 2 = 8

). Next, add the numbers inside the square brackets (

15 + 8 = 23

). Finally, subtract 23 from 80 to obtain 57.

Perform division inside the round brackets.

12 \div 3 = 4

According to the BODMAS rule, division takes precedence over multiplication within brackets.

Perform multiplication to complete the round bracket evaluation.

4 \times 2 = 8

Complete the operations contained within the innermost parentheses.

Perform addition inside the square brackets.

15 + 8 = 23

Simplify the terms remaining inside the square brackets.

Subtract the result of the brackets from the outer value.

80 - 23 = 57

Perform final subtraction to determine the simplified answer.

BODMAS Rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction)

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