https://file.aiquickdraw.com/mathbot/file/172946963588815ep7l0a.jpg

The equation visible in the image is:

\[
9 \left( 8 - 3 \right) \div \left[ 6 \div 2 + (8 + 5) \right]
\]

Let's break this down step by step:

1. **Simplify inside the parentheses first**:
   \[
   8 - 3 = 5
   \quad \text{and} \quad 8 + 5 = 13
   \]
   So the equation becomes:
   \[
   9(5) \div \left[ 6 \div 2 + 13 \right]
   \]

2. **Simplify inside the brackets**:
   \[
   6 \div 2 = 3
   \quad \text{so} \quad 3 + 13 = 16
   \]
   Now the equation is:
   \[
   9(5) \div 16
   \]

3. **Multiply and divide**:
   \[
   9 \times 5 = 45
   \quad \text{so} \quad 45 \div 16 = 2.8125
   \]

Thus, the result of the expression is **2.8125**.

Do you have any questions or need further details on this solution?

Here are 5 related questions for further exploration:
1. How would the result change if the division sign became multiplication?
2. What happens if you reverse the order of operations in this equation?
3. How does the use of parentheses affect the order of operations?
4. Can you rewrite the expression without parentheses and brackets?
5. How would you solve this if you rounded the result to the nearest whole number?

**Tip**: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to ensure accurate results.

This problem walks through solving the expression 9(8-3) ÷ [6 ÷ 2 + (8 + 5)] step-by-step. It includes simplifying inside parentheses, division, multiplication, and addition according to the order of operations (PEMDAS). Perfect 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