To solve the expression \(3 + 4 + 5 \times 2 + 7\), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to these rules, multiplication and division are performed before addition and subtraction.

Here is the step-by-step calculation:

1. Perform the multiplication first:
   \[
   5 \times 2 = 10
   \]

2. Substitute back into the expression:
   \[
   3 + 4 + 10 + 7
   \]

3. Perform the additions from left to right:
   \[
   3 + 4 = 7
   \]
   \[
   7 + 10 = 17
   \]
   \[
   17 + 7 = 24
   \]

So, the result of the expression \(3 + 4 + 5 \times 2 + 7\) is \(24\).

Would you like further details or have any questions?

Here are some related questions you might find interesting:

1. What is the order of operations in mathematics?
2. How does the order of operations affect the outcome of an expression?
3. Can you provide an example where parentheses change the result of an expression?
4. How do you handle expressions with division and multiplication?
5. What happens if an expression contains exponents?
6. Are there any tricks to simplify complex arithmetic expressions?
7. How do you solve expressions with negative numbers?
8. How does the order of operations apply in algebraic expressions?

**Tip:** Always remember to perform multiplication and division before addition and subtraction unless parentheses indicate otherwise.

Explore the order of operations and solve the expression 3 + 4 + 5x2 + 7 step-by-step. This problem covers key arithmetic concepts and demonstrates the correct sequence for performing calculations, emphasizing multiplication before addition. Suitable for students in Grades 6-8.

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