Find the value of the given mathematical expression by applying the standard order of oper… — State PSC Exam

Find the value of the given mathematical expression by applying the standard order of operations (BODMAS):

25 - [12 + \{8 \div 2 \times (5 - \overline{3 + 1})\}]

Following the BODMAS rule: evaluate the vinculum

\overline{3 + 1} = 4

, then round brackets

(5 - 4) = 1

, then curly brackets

\{8 \div 2 \times 1\} = 4

, then square brackets

[12 + 4] = 16

, and finally

25 - 16 = 9

Evaluate the expression under the vinculum (bar)

3 + 1 = 4

The vinculum has the highest precedence among brackets (VBODMAS).

Evaluate the innermost round bracket

5 - 4 = 1

Round brackets are evaluated after resolving the vinculum.

Evaluate division and multiplication inside curly brackets from left to right

8 ÷ 2 × 1 = 4 × 1 = 4

Division and multiplication have equal precedence and are resolved from left to right.

Evaluate addition inside square brackets

12 + 4 = 16

Square brackets are resolved next.

Perform final subtraction outside the brackets

25 - 16 = 9

Outer subtraction is performed as the final step.

Order of Operations (BODMAS / VBODMAS)

Tahmini Süre:45s

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