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This worksheet focuses on using mental math strategies to solve addition and subtraction problems. It encourages the use of properties of addition, compatible numbers, and compensation to simplify the calculations.

### Let’s walk through how to approach a few problems:

#### Problem 1:
**275 + 180 + 120**  
- Add 275 and 120 first:  
  \( 275 + 120 = 395 \)  
- Now add 395 and 180:  
  \( 395 + 180 = 575 \)

#### Problem 3:
**872 − 25.9**  
- Approximate subtraction by rounding 25.9 to 26:  
  \( 872 - 26 = 846 \)  
- Now adjust for the 0.1 difference:  
  \( 846 + 0.1 = 846.1 \)

#### Problem 6:
**12.32 − 8**  
- Subtract directly:  
  \( 12.32 - 8 = 4.32 \)

#### Problem 13:
**421.2 − 305.8**  
- Subtract directly:  
  \( 421.2 - 305.8 = 115.4 \)

Would you like a detailed explanation for all the problems or help with any specific one?

### Expanding Questions:
1. Can you explain how the commutative property of addition is used in mental math?
2. How does rounding help simplify subtraction problems like Problem 3?
3. What is the compensation method, and how does it make calculations easier?
4. What are compatible numbers, and how are they used to simplify additions?
5. How can you use estimation to quickly check if your answer is reasonable?

**Tip:** When using compensation, adjusting by adding or subtracting small values can make mental calculations faster without losing accuracy.

Worksheet on using mental math strategies for addition and subtraction problems, including properties of addition, compatible numbers, and compensation.

This worksheet focuses on using mental math strategies such as properties of addition, compatible numbers, and compensation for solving addition and subtraction problems. Suitable for students in grades 3-5.

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