Math Problem Statement

Calculate 15 - 4 × 2 + 2

Solution

To solve the expression 154×2+215 - 4 \times 2 + 2, we follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Step-by-step solution:

  1. Perform multiplication first: 4×2=84 \times 2 = 8 So the expression becomes: 158+215 - 8 + 2

  2. Perform subtraction: 158=715 - 8 = 7 So the expression becomes: 7+27 + 2

  3. Perform addition: 7+2=97 + 2 = 9

Final Answer:

99

Let me know if you'd like a deeper explanation or if you have additional questions!

Related questions:

  1. How does the order of operations (PEMDAS) work in more complex equations?
  2. What happens when parentheses are introduced into such expressions?
  3. Can you apply PEMDAS to a fraction with a numerator and denominator?
  4. How do negative numbers affect the order of operations?
  5. What is the difference between left-to-right operations for addition and subtraction?

Tip: Always handle multiplication and division before addition and subtraction to avoid mistakes in multi-step equations.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic

Formulas

No specific formulas; basic operations applied using PEMDAS

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7