https://file.aiquickdraw.com/mathbot/file/1736978410321yieynupw.jpg

From the image, I can see that this is a worksheet that involves inserting parentheses to make equations true and performing calculations. Let me analyze and explain the tasks shown.

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### Problem 1: Insert parentheses to make the equation true.

#### Equation:
\[
11 \times (1 + 2) - 3 = 30
\]

### Solution:
1. Solve inside the parentheses first:
   \[
   1 + 2 = 3
   \]

2. Multiply:
   \[
   11 \times 3 = 33
   \]

3. Subtract:
   \[
   33 - 3 = 30
   \]

Thus, the correct placement of parentheses is:
\[
11 \times (1 + 2) - 3 = 30
\]

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### Problem 2: Evaluate \( 49 \div 7 + (9 \times 7) \)

#### Steps:
1. Divide \( 49 \div 7 \):
   \[
   49 \div 7 = 7
   \]

2. Multiply \( 9 \times 7 \):
   \[
   9 \times 7 = 63
   \]

3. Add the results:
   \[
   7 + 63 = 70
   \]

Thus, the evaluated value is:
\[
70
\]

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### Summary of Solutions:
1. Insert parentheses: \( 11 \times (1 + 2) - 3 = 30 \)
2. Evaluate: \( 49 \div 7 + (9 \times 7) = 70 \)

Would you like a detailed explanation or help with a related topic? Let me know!  

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### Relative Questions:
1. How do parentheses affect the order of operations in equations?
2. Can you create another equation where inserting parentheses changes the outcome?
3. What is the difference between evaluating and simplifying an expression?
4. What are the steps to simplify a problem using PEMDAS (Order of Operations)?
5. How can you check if your answer to an equation is correct?

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### Tip:
Always work through equations step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Insert parentheses to make the equation true (11 × 1 + 2) - 3 = 30 and evaluate 49 ÷ 7 + 9 × 7.

Learn how to apply the order of operations to solve equations with parentheses and evaluate arithmetic expressions. This problem covers concepts like PEMDAS and basic arithmetic operations, suitable for Grades 4-6 students.

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