Let's solve the expression step by step:

Given expression:  
\[ [18 + 5(6 - 9)] - (3 - \frac{16}{5 + 3}) \]

### Step 1: Simplify inside the brackets and parentheses
- Inside the first bracket, solve \(6 - 9\):
  \[ 6 - 9 = -3 \]
- Now, multiply by 5:
  \[ 5 \times (-3) = -15 \]
- Add 18 to \(-15\):
  \[ 18 + (-15) = 3 \]
  
  So, the first bracket simplifies to 3.

### Step 2: Simplify inside the second parenthesis
- Inside the second parenthesis, add 5 and 3:
  \[ 5 + 3 = 8 \]
- Divide 16 by 8:
  \[ \frac{16}{8} = 2 \]
- Subtract 2 from 3:
  \[ 3 - 2 = 1 \]

### Step 3: Combine everything together
The simplified expression now is:
\[ 3 - 1 \]

### Step 4: Final calculation
\[ 3 - 1 = 2 \]

So, the final answer is \( \boxed{2} \).

Would you like further details or have any questions?

---

Here are five related questions:
1. How would the solution change if the expression was \([18 + 5(9 - 6)] - (3 - \frac{16}{5 + 2})\)?
2. Can you solve the expression \([12 + 4(7 - 10)] + (6 - \frac{24}{6 + 6})\)?
3. What if you changed the order of operations in this expression? How would it affect the result?
4. How do you simplify expressions that involve exponents along with multiplication and division?
5. Can you find an example where changing the placement of parentheses changes the result of an expression?

**Tip:** Always follow the order of operations (PEMDAS/BODMAS) to ensure accurate results.

Learn how to simplify and solve the expression [18+5(6-9)]-(3-16÷(5+3)). This problem involves arithmetic operations and the order of operations (PEMDAS/BODMAS). Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation