Math Problem Statement

18 - 4 x 4 + 15 3 + 2

Solution

To solve the expression:

184×4+15÷3+218 - 4 \times 4 + 15 \div 3 + 2

We will follow the order of operations, which is PEMDAS:

  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Step 1: Handle the multiplication and division first.

1816+15÷3+218 - 16 + 15 \div 3 + 2 1816+5+218 - 16 + 5 + 2

Step 2: Perform addition and subtraction from left to right.

2+5+2=92 + 5 + 2 = 9

So, the result of the expression is:

9\boxed{9}

Would you like more details on the steps or clarification?

Here are five related questions:

  1. What if we change the division sign to multiplication?
  2. How does the order of operations affect the result if we use parentheses?
  3. What happens if we perform the operations in reverse order?
  4. Can you create a similar expression with exponents included?
  5. How do we handle expressions with negative numbers?

Tip: Always perform multiplication and division before addition and subtraction, as per the order of operations.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Theorems

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Suitable Grade Level

Grades 5-7