https://file.aiquickdraw.com/mathbot/file/17258279291937pbtunsn.jpg

It seems that you've provided an image with mathematical problems. Let me extract the expressions and their explanations:

**Problem 25**:
- The expression given is \( 9 \div 3 \times 2 - 12 \div 9 \).
- The result obtained is \( 106 \), but this appears incorrect.

**Problem 26**:
- The expression is \( 19 - 5 + 12 = 19 - 16 \).
- The result obtained is \( 1 \), and this is correct.

Let's correct the reasoning for **Problem 25**:
1. First, apply the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
   
   The correct steps are:
   - \( 9 \div 3 = 3 \)
   - \( 3 \times 2 = 6 \)
   - \( 12 \div 9 \approx 1.33 \)

   Now the expression becomes:
   \[
   6 - 1.33 = 4.67
   \]

Thus, the correct result should be approximately **4.67**, not 106.

Would you like more details on the solution?

Here are 5 related questions to deepen your understanding:
1. What is the correct order of operations in mathematics (PEMDAS/BODMAS)?
2. How do you handle division with decimals?
3. Why is it important to follow the order of operations strictly?
4. What is the significance of rounding in calculations involving decimals?
5. How can you check your work when evaluating mathematical expressions?

**Tip**: Always double-check operations step-by-step, especially when multiple division and multiplication actions are involved.

Solve the expressions:
1. 9 ÷ 3 × 2 - 12 ÷ 9 = ?
2. 19 - 5 + 12 = 19 - 16 = ?

Learn how to correctly apply the order of operations in solving expressions like 9 ÷ 3 × 2 - 12 ÷ 9 and 19 - 5 + 12. This problem helps solidify the use of PEMDAS, focusing on handling division, multiplication, and subtraction. Suitable for middle school students (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