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Evaluate the given expression. 3−(5−6÷3)
3
2
1
0
0
Follow the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction). Solve the innermost division first, then the subtraction inside the parentheses, and finally the subtraction outside.
Expression to evaluate: 3 - (5 - 6 ÷ 3)
a−(b−c÷d)
Follow the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction). Solve the innermost division first, then the subtraction inside the parentheses, and finally the subtraction outside.
Students often make a mistake by performing the subtraction inside the parenthesis before the division (e.g., 5 - 6 = -1, then -1 / 3). Always prioritize division over subtraction.
Apply BODMAS rule
According to the BODMAS rule, we must perform the division inside the parentheses first: 6÷3=2.
6÷3=2
Simplify inside the parentheses
Substitute the division result back into the parenthesis: 5−2=3.
5−2=3
Perform final subtraction
Subtract the result of the parenthesis from the leading 3: 3−3=0.
3−3=0
D is correct because the step-by-step simplification of 3 - (5 - 6 ÷ 3) yields 3 - (5 - 2), which is 3 - 3 = 0.
Understanding order of operations is foundational for Algebra, where variable expressions require strict adherence to precedence to avoid calculation errors.
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