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Evaluate: 33 ÷ 9 × 3 - 2 × 4
3
6
2
5
3
Remember that division and multiplication are solved from left to right; immediately convert 33 ÷ 9 to 11/3 to avoid decimal confusion.
Expression: 33 ÷ 9 × 3 - 2 × 4
BODMAS:Bracket, Of, Division, Multiplication, Addition, Subtraction
Remember that division and multiplication are solved from left to right; immediately convert 33 ÷ 9 to 11/3 to avoid decimal confusion.
Many students mistakenly perform multiplication before division (i.e., 9 × 3 first), which violates the left-to-right order of precedence for these operators.
Division Step
According to the BODMAS rule, perform division first: 33÷9=933=311.
311×3−2×4
Multiplication Step
Perform the multiplications: (311×3)=11 and (2×4)=8.
11−8
Final Subtraction
Subtract the results to get the final answer.
11−8=3
A is correct because applying the BODMAS sequence results in 3.
This concept of operator precedence is foundational for all complex algebraic equations and programming logic where order of operations determines the result.