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Simplify the given expression. 3+3÷3×3−3
0
1
3
3
3
Apply BODMAS: First divide (3/3 = 1), then multiply (1 × 3 = 3), then add and subtract: 3 + 3 - 3 = 3.
Expression: 3 + 3 ÷ 3 × 3 - 3
BODMAS:Brackets,Orders,Division,Multiplication,Addition,Subtraction
Apply BODMAS: First divide (3/3 = 1), then multiply (1 × 3 = 3), then add and subtract: 3 + 3 - 3 = 3.
Many students mistakenly perform operations left-to-right (3+3=6, 6/3=2, 2*3=6, 6-3=3) or perform multiplication before division without realizing the priority depends on left-to-right sequence for D and M.
Apply Division (D)
According to the BODMAS rule, division comes before multiplication, addition, and subtraction. Here, 3÷3=1.
3+(3÷3)×3−3=3+1×3−3
Apply Multiplication (M)
Next, perform the multiplication. Here, 1×3=3.
3+(1×3)−3=3+3−3
Apply Addition and Subtraction (A & S)
Finally, solve addition and subtraction from left to right: 3+3=6, then 6−3=3.
6−3=3
D is correct because the step-by-step application of the BODMAS rule results in 3.
The BODMAS rule is essential for simplifying complex equations in Algebra and Quantitative Aptitude, ensuring consistent evaluation order across all mathematical problems.
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