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Simplify: 15.5 + 4.5 × 2 - 8 ÷ 4
22.5
24.5
23.5
20.5
22.5
Strictly follow the BODMAS rule (Division first, then Multiplication, Addition, and finally Subtraction) to avoid order-of-operation errors.
Expression: 15.5+4.5×2−8÷4
BODMAS / PEMDAS Order of Operations
Strictly follow the BODMAS rule (Division first, then Multiplication, Addition, and finally Subtraction) to avoid order-of-operation errors.
Performing addition or multiplication before division, such as calculating 15.5+4.5 first, leading to an incorrect result.
Step 1: Division
According to the BODMAS rule, division is performed first in the expression. Divide 8 by 4: 48=2
8÷4=2
Step 2: Multiplication
Next, perform the multiplication part of the expression: 4.5×2=9.
4.5×2=9
Step 3: Addition and Subtraction
Substitute the calculated values back into the expression: 15.5+9−2. Perform addition and subtraction from left to right.
15.5+9−2=22.5
A is correct because simplifying the expression using the BODMAS rule yields 22.5.
Order of operations is foundational for simplifying algebraic expressions, solving equations, and handling numerical data interpretation in railway and engineering exams.
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