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Difficulty: EasySimplification and BODMAS Rule
Find the value of the given mathematical expression by applying the standard order of operations (BODMAS):
25−[12+{8÷2×(5−3+1‾)}]25 - [12 + \{8 \div 2 \times (5 - \overline{3 + 1})\}]
  1. 9Answer
  2. B
    15
  3. C
    17
  4. D
    1

Answer

9
Following the BODMAS rule: evaluate the vinculum 3+1‾=4\overline{3 + 1} = 4, then round brackets (5−4)=1(5 - 4) = 1, then curly brackets {8÷2×1}=4\{8 \div 2 \times 1\} = 4, then square brackets [12+4]=16[12 + 4] = 16, and finally 25−16=925 - 16 = 9.

Step-by-Step Solution

1
Evaluate the expression under the vinculum (bar)
3 + 1 = 4
The vinculum has the highest precedence among brackets (VBODMAS).
2
Evaluate the innermost round bracket
5 - 4 = 1
Round brackets are evaluated after resolving the vinculum.
3
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.
4
Evaluate addition inside square brackets
12 + 4 = 16
Square brackets are resolved next.
5
Perform final subtraction outside the brackets
25 - 16 = 9
Outer subtraction is performed as the final step.

Key Concept

Order of Operations (BODMAS / VBODMAS)
Estimated Time:45s
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Topics

Simplification and BODMAS Rule

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