10. a) Describe the commututive property of addition of whole numbers in words, and give an example. b) Use an example to show that subtraction of whole numbers is not commutative. 11. I we odd ino whole numbers, the answer will always be another whole number. For example, $$ 8+4=12.8,4 $$ and 12 are all whole numbers. Thus.

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### 10. a) Commutative Property of Addition

The **commutative property of addition** states that when you add two whole numbers, the order in which you add them does not change the sum. In other words, if you have two whole numbers $$ a $$ and $$ b $$, then:

$$
a + b = b + a
$$

**Example:**
Let’s take $$ a = 3 $$ and $$ b = 5 $$.

Calculating both ways:
- $$ 3 + 5 = 8 $$
- $$ 5 + 3 = 8 $$

Since both calculations yield the same result, this demonstrates the commutative property of addition.

### 10. b) Subtraction is Not Commutative

To show that subtraction of whole numbers is not commutative, we can use an example. The property states that changing the order of the numbers will change the result.

**Example:**
Let’s take $$ a = 5 $$ and $$ b = 3 $$.

Calculating both ways:
- $$ 5 - 3 = 2 $$
- $$ 3 - 5 = -2 $$

Since $$ 2 \neq -2 $$, this demonstrates that subtraction is not commutative.

### 11. Odd and Whole Numbers

The statement seems to be about the addition of whole numbers and how it results in another whole number. However, it appears there is a typo in your example. Let's clarify:

When you add two whole numbers, the result is always another whole number.

**Example:**
Let’s take two whole numbers $$ 8 $$ and $$ 4 $$:

$$
8 + 4 = 12
$$

Here, $$ 8 $$, $$ 4 $$, and $$ 12 $$ are all whole numbers. Thus, the sum of two whole numbers is always a whole number.

If you meant to refer to odd numbers, the statement would be different. For example, the sum of two odd numbers is always even, but the sum of an odd and an even number is always odd.

If you need further clarification or examples, feel free to ask!
**10. a) Commutative Property of Addition** - **Definition:** Adding two whole numbers in any order gives the same sum. - **Example:** $$ 3 + 5 = 5 + 3 = 8 $$ **10. b) Subtraction is Not Commutative** - **Example:** $$ 5 - 3 = 2 $$ and $$ 3 - 5 = -2 $$. Since $$ 2 \neq -2 $$, subtraction does not follow the commutative property. **11. Whole Numbers and Addition** - **Statement:** Adding two whole numbers always results in another whole number. - **Example:** $$ 8 + 4 = 12 $$. All numbers involved are whole numbers.

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