https://file.aiquickdraw.com/mathbot/file/1728840574299p06u9izo.jpg

Let's break down the expression step by step:

\[
40 \div (4 \times 2 - 3) + 4 \times (7 - 4)
\]

### Step 1: Solve the expressions inside the parentheses

- First parentheses: \( 4 \times 2 - 3 = 8 - 3 = 5 \)
- Second parentheses: \( 7 - 4 = 3 \)

Now the expression becomes:

\[
40 \div 5 + 4 \times 3
\]

### Step 2: Perform multiplication and division

- \( 40 \div 5 = 8 \)
- \( 4 \times 3 = 12 \)

Now we have:

\[
8 + 12
\]

### Step 3: Add the results

\[
8 + 12 = 20
\]

The final answer is **20**.

---

Would you like more details or have any further questions?

Here are some related questions:
1. What is the order of operations in this expression?
2. How would the result change if we modified any of the numbers inside the parentheses?
3. Can you explain the difference between the multiplication and division operations when both appear in the same expression?
4. How would the result change if the parentheses were placed differently?
5. What happens if we remove the parentheses altogether in this problem?

**Tip**: Always solve operations inside parentheses first, following the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right)).

Learn how to solve the expression 40 ÷ (4 × 2 - 3) + 4 × (7 - 4) step-by-step using the order of operations (PEMDAS). This problem covers key arithmetic concepts and is suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation