https://file.aiquickdraw.com/mathbot/file/1726095653014388y969p.jpg

Let's go through the questions from the image and solve them one by one.

---

### 20. Make Sense and Persevere
**Problem:** Gino packs his blue and green pencils into boxes. He puts 8 pencils in each box. How many boxes does Gino use?

- From the data provided:
  - Blue pencils: 23
  - Green pencils: 17
  
  Total pencils = \(23 + 17 = 40\) pencils.  
  Since Gino packs 8 pencils in each box:
  \[
  \frac{40}{8} = 5 \text{ boxes}.
  \]
  **Answer:** Gino uses 5 boxes.

---

### 21. Group the addends below in a different way to get the same sum. Write the new equation.
**Problem:**  
\((42 + 14) + 6 = 62\)

You can regroup this equation to:
\[
42 + (14 + 6) = 62
\]
This is using the **Associative Property** of addition.

---

### 22. Vocabulary: How is the Commutative Property of Addition like the Commutative Property of Multiplication?
**Answer:**  
Both properties state that the order of numbers can be switched without changing the result. For example:
- Addition: \(a + b = b + a\)
- Multiplication: \(a \times b = b \times a\)

---

### 23. **enVision® STEM** A lionfish has 13 spines on its back, 2 more spines near its stomach, and 3 more near its tail. Using a property of addition, write two different equations to find how many spines a lionfish has. What property did you use?

The total number of spines:
\[
13 + 2 + 3 = 18
\]
Two different equations using the **Associative Property**:
1. \((13 + 2) + 3 = 18\)
2. \(13 + (2 + 3) = 18\)

The property used is the **Associative Property** of addition.

---

### 24. Higher Order Thinking  
**Problem:** Barry says he can subtract numbers in any order and the difference will stay the same. Is Barry correct? Give an example to support your answer.

**Answer:**  
No, Barry is not correct. Unlike addition, subtraction is not commutative, meaning the order matters.  
For example:
\[
5 - 3 = 2 \quad \text{but} \quad 3 - 5 = -2.
\]
The results are not the same, so the order does matter in subtraction.

---

### 25. Use place value to find the sum of \(33 + 42 + 17\).

- Add \(33 + 42 = 75\)
- Then \(75 + 17 = 92\)

**Answer:** The correct choice is **D: 92**.

---

### 26. Use properties of operations to find the sum of \(22 + 30 + 28\).

Using the **Associative Property**:
\[
(22 + 28) + 30 = 50 + 30 = 80
\]

**Answer:** The correct choice is **A: 80**.

---

Let me know if you'd like more detailed explanations on any question or have further queries!

### Related Questions:
1. How does the associative property work for multiplication?
2. What is the difference between associative and commutative properties?
3. Can you use the commutative property for subtraction or division? Why not?
4. How does regrouping help in complex addition problems?
5. What other examples illustrate the difference between addition and subtraction?

### Tip:
When solving word problems, always break them into smaller parts and use the information given step by step.

Problem Solving: Math-related questions about addition, subtraction, place value, and properties of operations.

Solve math problems involving addition, place value, and the commutative and associative properties. Learn how to group addends and find the number of boxes using division. Suitable for students in Grades 3-5.

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