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Evaluate: 16 + 16 ÷ 4 - 3 × 4
8
10
11
7
8
Apply BODMAS strictly: First perform division (16/4 = 4), then multiplication (3 × 4 = 12), and finally simplify the addition and subtraction from left to right.
Expression: 16 + 16 ÷ 4 - 3 × 4
BODMAS:Brackets,Orders,Division,Multiplication,Addition,Subtraction
Apply BODMAS strictly: First perform division (16/4 = 4), then multiplication (3 × 4 = 12), and finally simplify the addition and subtraction from left to right.
Many students perform operations strictly from left to right (16+16=32, 32/4=8, 8-3=5, 5×4=20), which is incorrect as multiplication and division must take priority over addition and subtraction.
Division Operation
According to the BODMAS rule, division must be performed before addition or subtraction. 16÷4=4.
16+4−3×4
Multiplication Operation
Next, perform the multiplication operation. 3×4=12.
16+4−12
Final Addition and Subtraction
Finally, solve the addition and subtraction from left to right. 16+4=20, and 20−12=8.
20−12=8
A is correct because applying the BODMAS order of operations simplifies the expression to 8.
The BODMAS rule is universally applicable in simplifying complex algebraic expressions and quantitative aptitude problems involving multiple operators.