Use the commutative properly to make the number sentences true. $$ \begin{array}{ll} ext { Example: } \begin{array}{ll}4+6= & ext { a. } 3+4= \ 4+6=6+4 & ext { b. } 8+4= \ 10=10 & \end{array}\end{array} $$

Question

Use the commutative properly to make the number sentences true. $$ \begin{array}{ll}	ext { Example: } \begin{array}{ll}4+6= & 	ext { a. } 3+4= \ 4+6=6+4 & 	ext { b. } 8+4= \ 10=10 & \end{array}\end{array} $$

UpStudy AI · Accepted Answer

The **commutative property** of addition states that the order of the numbers does not change the sum. In other words:

$$
a + b = b + a
$$

Let's apply this property to make the number sentences true.

### Example:
$$
\begin{array}{ll}
4 + 6 = & \text{a. } 3 + 4 = \
4 + 6 = 6 + 4 & \text{b. } 8 + 4 = \
10 = 10 &
\end{array}
$$

**Explanation:**
- **Original Sentence:** $$4 + 6 =$$
- **Using Commutative Property:** $$4 + 6 = 6 + 4$$
- **Simplified:** $$10 = 10$$ (True)

### a. $$3 + 4 =$$
$$
\begin{array}{ll}
3 + 4 = & 4 + 3 \
7 = 7 &
\end{array}
$$

**Explanation:**
- **Original Sentence:** $$3 + 4 =$$
- **Using Commutative Property:** $$3 + 4 = 4 + 3$$
- **Simplified:** $$7 = 7$$ (True)

### b. $$8 + 4 =$$
$$
\begin{array}{ll}
8 + 4 = & 4 + 8 \
12 = 12 &
\end{array}
$$

**Explanation:**
- **Original Sentence:** $$8 + 4 =$$
- **Using Commutative Property:** $$8 + 4 = 4 + 8$$
- **Simplified:** $$12 = 12$$ (True)

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**Summary:**

By swapping the order of the addends using the commutative property, you can make each number sentence true. This property is fundamental in simplifying and solving various mathematical problems.
Using the commutative property, the number sentences become: - $$4 + 6 = 6 + 4 = 10$$ - $$3 + 4 = 4 + 3 = 7$$ - $$8 + 4 = 4 + 8 = 12$$

Use the commutative properly to make the number sentences true.

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