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Simplify the given expression. 5−[4−{3−(3−3−6)}]
10
0
6
4
10
Work from the innermost parentheses (round) to curly brackets { }, then square brackets [ ], keeping careful track of the negative signs distributed across each scope.
Expression to simplify: 5 - [4 - {3 - (3 - 3 - 6)}]
BODMAS=(Brackets,Of,Division,Multiplication,Addition,Subtraction)
Work from the innermost parentheses (round) to curly brackets { }, then square brackets [ ], keeping careful track of the negative signs distributed across each scope.
Failing to simplify (3 - 3 - 6) correctly as -6 or mismanaging the signs when removing the nested brackets: -(-6) becomes +6.
Simplify innermost parentheses
Evaluate the expression inside the round brackets (3−3−6).
3−3−6=0−6=−6
Simplify curly brackets
Substitute the result back into the curly brackets: {3−(−6)}. Subtracting a negative is equivalent to adding: 3+6=9.
3−(−6)=3+6=9
Simplify square brackets
Substitute the result into the square brackets: [4−9]=−5.
4−9=−5
Final calculation
Subtract the result from the leading 5: 5−(−5)=5+5=10.
5−(−5)=10
A is correct because the expression simplifies step-by-step to 5 - [4 - {3 - (-6)}] = 5 - [4 - {9}] = 5 - [-5] = 10.
This type of simplification problem is foundational for Data Interpretation and Number Series sections where multi-step calculations are required.
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