https://file.aiquickdraw.com/mathbot/file/1728248322534hlo94yf7.jpg

I can see the math problems in the image provided. The task is to insert mathematical signs (+, −, ×, ÷) or brackets in the blanks to make the equations true. Let's go through a couple of these problems and solve them step by step.

### Section 1: Insert any of the following signs (+, −, ×, ÷) to make the equations correct.

1. **a. 3 __ 2 = 7**
   - Solution: \( 3 + 2 + 2 = 7 \)  
     (Inserting "+" twice).

2. **b. 4 __ 2 __ 5 = 14**
   - Solution: \( 4 \times 2 + 5 = 14 \).

3. **c. 6 __ 2 = 3**
   - Solution: \( 6 \div 2 = 3 \).

4. **d. 5 __ 2 = 28**
   - This one seems tricky because no simple combination of operations results in 28. Can you double-check if the numbers are accurate?

5. **e. 4 __ 2 __ 3 = 6**
   - Solution: \( 4 \div 2 \times 3 = 6 \).

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### Section 2: Insert brackets in order to make them correct.

1. **a. 7 × 3 ÷ 2 = 10.5**
   - No need for brackets since it's already correct: \( 7 \times (3 \div 2) = 10.5 \).

2. **b. 3 + 5 ÷ 2 = 10**
   - Solution: Insert brackets as \( 3 + (5 \div 2) \) to maintain the original division order.

Would you like further detailed explanations, or assistance with the other problems in the image?

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Here are some related questions:

1. How do brackets affect the order of operations in an equation?
2. What are the key differences between addition and multiplication in terms of results?
3. Can you identify other problems in the image where division takes precedence over addition or subtraction?
4. Are there other possible ways to place operations in one of the equations?
5. What happens if you try all possible operators for problem "d"?

**Tip**: Always follow the BODMAS/PEMDAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) for correct results!

Insert mathematical signs (+, −, ×, ÷) or brackets to make the equations correct.

Solve basic arithmetic problems by inserting the correct mathematical operations or brackets. Learn how to apply the BODMAS/PEMDAS rule to achieve the correct answers. Suitable for Grades 5-7 students.

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