Answered

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12. Choose the best answer.

The [tex]\[\text{Property of Addition}\][/tex] states that for any numbers [tex]\[a\][/tex] and [tex]\[b\][/tex], [tex]\[a + b = b + a\][/tex].

A. Commutative

B. Associative

C. Inverse

Sagot :

GinnyAnswer
To solve this problem, we need to understand some fundamental properties of addition in mathematics. Let's examine each property listed in the options:

1. Commutative Property of Addition:
- This property states that the order in which two numbers are added does not change the sum. In other words, for any numbers [tex]\(a\)[/tex] and [tex]\(b\)[/tex], [tex]\(a + b = b + a\)[/tex].

2. Associative Property of Addition:
- This property states that the way in which numbers are grouped when adding does not change the sum. That is, for any numbers [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex], [tex]\((a + b) + c = a + (b + c)\)[/tex].

3. Inverse Property of Addition:
- This property states that for any number [tex]\(a\)[/tex], there exists another number, referred to as its additive inverse, such that when the number and its additive inverse are added together, the sum is zero. In other words, [tex]\(a + (-a) = 0\)[/tex].

Given the statement: "The Property of Addition states that for any numbers [tex]\(a\)[/tex] and [tex]\(b\)[/tex], [tex]\(a + b = b + a\)[/tex]," the property in question is describing the concept that the order of addition does not affect the sum.

Therefore, the best answer is:
Commutative
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