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Difficulty: EasySimplification and BODMAS Rule

What is the simplified numerical value of the expression 15+{20−(8÷6−2‾)}15 + \left\{ 20 - \left( 8 \div \overline{6 - 2} \right) \right\} when evaluated using the standard BODMAS rule?

Answer: 33

Answer

The simplified numerical value of the expression is 33.
Applying VBODMAS order (Vinculum →\rightarrow Brackets →\rightarrow Division →\rightarrow Subtraction →\rightarrow Addition) yields: 6−2‾=4\overline{6-2} = 4, 8÷4=28 \div 4 = 2, 20−2=1820 - 2 = 18, and 15+18=3315 + 18 = 33.

Step-by-Step Solution

1
Evaluate the expression under the vinculum (bar)
6−2‾=4\overline{6 - 2} = 4
The vinculum (bar line) takes precedence over standard operators.
2
Perform division inside the round brackets
8÷4=28 \div 4 = 2
Operations inside the innermost round brackets are evaluated next.
3
Perform subtraction inside the curly brackets
20−2=1820 - 2 = 18
Evaluate the expression enclosed in the curly brackets.
4
Perform final addition outside brackets
15+18=3315 + 18 = 33
Complete the evaluation by adding the remaining outer terms.

Key Concept

BODMAS / VBODMAS Rule (Order of Operations with Vinculum and Brackets)
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Topics

Simplification and BODMAS Rule

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