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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.
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