What is the value of 33 ÷ 11 + 75 ÷ 5 × 2 − 6 ÷ 12 × 30?
2024
What is the value of 33 ÷ 11 + 75 ÷ 5 × 2 − 6 ÷ 12 × 30?
- A.
15
- B.
18
- C.
9
- D.
42
Attempted by 27 students.
Show answer & explanation
Correct answer: B
To solve this expression, you must follow the BODMAS rule (or PEMDAS), which defines the order of operations: Brackets, Orders (powers), Division and Multiplication (left to right), and Addition and Subtraction (left to right).
Step-by-Step Calculation
Expression: 33 ÷ 11 + 75 ÷ 5 × 2 - 6 ÷ 12 × 30
Perform Division and Multiplication (from left to right):
33 ÷ 11 = 3
75 ÷ 5 = 15, then 15 × 2 = 30
6 ÷ 12 = 0.5, then 0.5 × 30 = 15
Substitute these back into the expression:
3 + 30 - 15
Perform Addition and Subtraction:
3 + 30 = 33
33 - 15 = 18