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Question

Difficulty: EasyOrder of Operations

Identify the correct step-by-step sequence to fully simplify the given mathematical expression. Order the operations from first to last:

15−3×(2+1)2 15 - 3 \times (2 + 1)^2
  1. 1Add the numbers 2 and 1 inside the parentheses.
  2. 2Square the result obtained from the parentheses.
  3. 3Multiply the exponentiated result by 3.
  4. 4Subtract the resulting product from 15.

Answer

The sequence is to evaluate the parentheses first, apply the exponent to that result, perform the multiplication, and finally execute the subtraction.
Following the standard order of operations (PEMDAS), you must first resolve the grouping symbols (parentheses), then evaluate the exponent, perform the multiplication, and finally execute the subtraction.

Step-by-Step Solution

1
Evaluate the terms inside the parentheses: (2+1)(2 + 1)
3
Parentheses (grouping symbols) hold the highest priority in the order of operations.
2
Apply the exponent to the result: 323^2
9
Exponents must be evaluated before multiplication and subtraction.
3
Perform the multiplication: 3×93 \times 9
27
Multiplication is prioritized before subtraction.
4
Perform the subtraction: 15−2715 - 27
-12
Subtraction is the final remaining operation in the expression.

Key Concept

Order of Operations
Estimated Time:45s
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Topics

Order of Operations

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