Answered

Discover new knowledge and insights with IDNLearn.com's extensive Q&A database. Our experts provide timely and precise responses to help you understand and solve any issue you face.

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 :

GinnyAnsweridn
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
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.