Math Problem Statement

or Santiago tried to evaluate the expression 18÷6+3×4. Here is his work:

Solution

To evaluate the expression 18÷6+3×418 \div 6 + 3 \times 4, we need to follow the order of operations, also known as PEMDAS:

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

Here's the correct way to solve this expression step by step:

Given: 18÷6+3×418 \div 6 + 3 \times 4

  1. Division first (because it appears before multiplication when going left to right): 18÷6=318 \div 6 = 3

    Now the expression becomes: 3+3×43 + 3 \times 4

  2. Multiplication next: 3×4=123 \times 4 = 12

    Now the expression is: 3+123 + 12

  3. Addition last: 3+12=153 + 12 = 15

So, the correct answer is: 1515

Would you like more details or have any questions about this solution?

Related Questions

  1. What happens if the expression had parentheses, like (18÷(6+3))×4(18 \div (6 + 3)) \times 4?
  2. How do we apply the order of operations to more complex expressions?
  3. Why is it important to follow the order of operations in mathematical expressions?
  4. How do parentheses affect the evaluation of expressions?
  5. What are the common mistakes made when evaluating expressions like this one?

Tip

Remember that multiplication and division have the same priority and should be handled from left to right, just like addition and subtraction.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-7