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Question

Difficulty: EasyOrder of Operations
Arrange the following calculation steps in the correct order to evaluate the mathematical expression according to the order of operations: 15+(6−2)×3215 + (6 - 2) \times 3^2
  1. 1Subtract 22 from 66 inside the parentheses
  2. 2Square the number 33
  3. 3Multiply the difference by the value of the exponent
  4. 4Add 1515 to the calculated product

Answer

The correct sequence is to first subtract 2 from 6 (resolving the parentheses), then square the number 3 (evaluating the exponent), multiply those two results together, and finally add 15.
The correct order strictly follows the PEMDAS sequence: Parentheses (6−26 - 2) must be resolved first, followed by Exponents (323^2). After those are evaluated, Multiplication (4×94 \times 9) is performed. Finally, Addition (15+3615 + 36) is completed.

Step-by-Step Solution

1
Evaluate the operation inside the parentheses.
15+(4)×3215 + (4) \times 3^2
Parentheses (P) have the highest priority in the order of operations.
2
Evaluate the exponent.
15+4×915 + 4 \times 9
Exponents (E) are evaluated after parentheses but before multiplication.
3
Perform the multiplication.
15+3615 + 36
Multiplication (M) takes precedence over addition.
4
Perform the final addition.
5151
Addition (A) is the final operation left in this expression.

Key Concept

Order of Operations
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Topics

Order of Operations

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