Let's solve the expression step by step, following the order of operations (PEMDAS):

**PEMDAS**:
1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The given expression is:

\[
9 - 18 + \frac{15}{3} \times 6 + 12
\]

### Step 1: Perform Division and Multiplication first
\[
\frac{15}{3} = 5
\]
Now the expression becomes:
\[
9 - 18 + 5 \times 6 + 12
\]
Next, do the multiplication:
\[
5 \times 6 = 30
\]
So the expression is now:
\[
9 - 18 + 30 + 12
\]

### Step 2: Perform Addition and Subtraction (left to right)
\[
9 - 18 = -9
\]
Now:
\[
-9 + 30 = 21
\]
And:
\[
21 + 12 = 33
\]

### Final Answer:
\[
33
\]

Would you like more details, or have any questions?

Here are 5 related questions for practice:
1. Simplify \( 10 + 24 \div 6 \times 4 - 5 \).
2. Solve \( 20 - 8 + 16 \div 4 \times 3 \).
3. Simplify \( 14 \times 3 - 12 + 36 \div 6 \).
4. Evaluate \( 100 \div 5 + 6 \times 2 - 12 \).
5. Simplify \( 45 \div 9 + 30 - 15 \times 2 \).

**Tip**: Always remember to perform multiplication and division before addition and subtraction in a left-to-right sequence!

Solve the expression 9 - 18 + 15 ÷ 3 × 6 + 12 step by step by applying the order of operations (PEMDAS). This problem explores key arithmetic operations, including division, multiplication, addition, and subtraction, 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