Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Identify the property:
[tex]\[
65 + (-32) = -32 + 65
\][/tex]

Sagot :

GinnyAnswer
To address this, let's carefully examine the mathematical expression given:

[tex]\[ 65 + (-32) = -32 + 65 \][/tex]

We need to identify the property being demonstrated by this equation.

### Step 1: Understand the Expression
The equation shows two sums: [tex]\( 65 + (-32) \)[/tex] and [tex]\( -32 + 65 \)[/tex].

### Step 2: Compare the Two Sums
Notice that in the first sum, the terms are [tex]\( 65 \)[/tex] and [tex]\( -32 \)[/tex], whereas in the second sum, the terms are [tex]\( -32 \)[/tex] and [tex]\( 65 \)[/tex].

### Step 3: Observe the Order of Addition
The only difference between these two sums is the order in which [tex]\( 65 \)[/tex] and [tex]\( -32 \)[/tex] are added. Despite the change in order, both sums result in the same total.

### Step 4: Identify the Property
The property that states the sum of numbers does not change when the order of addends is changed is known as the Commutative Property of Addition. According to this property:
[tex]\[ a + b = b + a \][/tex]
Where [tex]\( a \)[/tex] and [tex]\( b \)[/tex] can be any numbers.

### Conclusion
Therefore, the equation [tex]\( 65 + (-32) = -32 + 65 \)[/tex] demonstrates the Commutative Property of Addition.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.