To solve the expression:

\[
10 + \frac{36}{9} - 3 \times (-12)
\]

### Step 1: Division first (following the order of operations)
\[
\frac{36}{9} = 4
\]
Now the expression becomes:
\[
10 + 4 - 3 \times (-12)
\]

### Step 2: Multiplication next
\[
3 \times (-12) = -36
\]
Now the expression is:
\[
10 + 4 - (-36)
\]

### Step 3: Simplify the subtraction
\[
10 + 4 + 36 = 50
\]

Thus, the solution is:
\[
\boxed{50}
\]

Would you like more details on any step? Here are five related questions for further practice:

1. What is the value of \(15 - 3 \times 5 + 2^3\)?
2. How do you simplify \(8 + 12 \div 4 - 5 \times 2\)?
3. Can you evaluate \(20 + 18 \div 6 - 4^2\)?
4. What is the solution to \(45 \div 5 - 3 \times (-7) + 8\)?
5. How do you simplify \(6 \times 3 - 18 \div 2 + 7\)?

**Tip**: Always follow the order of operations (PEMDAS/BODMAS) when solving expressions.

Learn how to solve the arithmetic expression 10 + 36 ÷ 9 - 3 × (-12) using the order of operations (PEMDAS). This detailed step-by-step guide simplifies the problem by breaking down division, multiplication, and basic addition/subtraction, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation