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Simplify the given expression. 4−36÷4+2×5
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Apply BODMAS rule in sequence: 1) Divide 36 by 4 = 9, 2) Multiply 2 by 5 = 10. The expression becomes 4 - 9 + 10 = 5.
Expression: 4 - 36 ÷ 4 + 2 × 5
BODMAS:Brackets,Orders,Division,Multiplication,Addition,Subtraction
Apply BODMAS rule in sequence: 1) Divide 36 by 4 = 9, 2) Multiply 2 by 5 = 10. The expression becomes 4 - 9 + 10 = 5.
Many students perform operations from left to right without respecting the BODMAS order, for example, subtracting 36 from 4 before dividing, which leads to an incorrect result.
Applying BODMAS order
According to the BODMAS rule, division must be performed before addition and subtraction. Start by dividing 36 by 4.
36÷4=9
Performing multiplication
Next, perform the multiplication 2×5 in the expression.
2×5=10
Simplifying the remaining expression
Substitute the calculated values back into the expression: 4−9+10. Perform addition and subtraction from left to right.
4−9+10=−5+10=5
D is correct because the expression 4 - 36 ÷ 4 + 2 × 5 simplifies to 4 - 9 + 10, which equals 5.
This concept is fundamental for all quantitative aptitude sections; always remember that division and multiplication have higher priority than addition and subtraction.