Homework #5 Math 2 worksheet with addition exercises and properties of addition.

Problem Analysis:

The homework consists of two main parts:
1. Part A: Finding the sum of given numbers.
2. Part B: Identifying the mathematical property (Identity Property, Commutative Property, or Associative Property) for given equations.

Let's solve each part step by step.

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Part A: Find the sum

#### 1. \( 9 + 5 = \)
- Add the numbers: \( 9 + 5 = 14 \).
- Answer: \( 14 \).

#### 2. \( 4 + 8 = \)
- Add the numbers: \( 4 + 8 = 12 \).
- Answer: \( 12 \).

#### 3. \( 8 + 8 = \)
- Add the numbers: \( 8 + 8 = 16 \).
- Answer: \( 16 \).

#### 4. \( 9 + 8 = \)
- Add the numbers: \( 9 + 8 = 17 \).
- Answer: \( 17 \).

#### 5. \( 7 + 7 = \)
- Add the numbers: \( 7 + 7 = 14 \).
- Answer: \( 14 \).

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Part B: Write IP, CP, or AP

#### Definitions:
- Identity Property (IP): Adding zero to any number leaves the number unchanged. Example: \( a + 0 = a \).
- Commutative Property (CP): The order of addition does not matter. Example: \( a + b = b + a \).
- Associative Property (AP): The grouping of numbers does not matter when adding. Example: \( (a + b) + c = a + (b + c) \).

#### 6. \( 25 + 0 = 25 \)
- This equation shows that adding zero to 25 leaves it unchanged.
- Property: Identity Property (IP).

#### 7. \( 9 + (11 + 4) = (9 + 11) + 4 \)
- This equation shows that the grouping of numbers does not affect the sum.
- Property: Associative Property (AP).

#### 8. \( 19 + 1 = 1 + 19 \)
- This equation shows that the order of addition does not matter.
- Property: Commutative Property (CP).

#### 9. \( 28 + 0 = 28 \)
- This equation shows that adding zero to 28 leaves it unchanged.
- Property: Identity Property (IP).

#### 10. \( 5 + (8 + 12) = (5 + 8) + 12 \)
- This equation shows that the grouping of numbers does not affect the sum.
- Property: Associative Property (AP).

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Final Answers:

#### Part A:
1. \( 9 + 5 = \boxed{14} \)
2. \( 4 + 8 = \boxed{12} \)
3. \( 8 + 8 = \boxed{16} \)
4. \( 9 + 8 = \boxed{17} \)
5. \( 7 + 7 = \boxed{14} \)

#### Part B:
6. \( 25 + 0 = 25 \): IP
7. \( 9 + (11 + 4) = (9 + 11) + 4 \): AP
8. \( 19 + 1 = 1 + 19 \): CP
9. \( 28 + 0 = 28 \): IP
10. \( 5 + (8 + 12) = (5 + 8) + 12 \): AP

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Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Part A:} & 1. \, 14, \, 2. \, 12, \, 3. \, 16, \, 4. \, 17, \, 5. \, 14 \\
\text{Part B:} & 6. \, \text{IP}, \, 7. \, \text{AP}, \, 8. \, \text{CP}, \, 9. \, \text{IP}, \, 10. \, \text{AP}
\end{array}
}
\]