High School

The property that each of the following equations illustrates is the commutative property:

[tex]83 + 6 = 6 + 83[/tex]

Answer :

The question demonstrates an important mathematical concept known as the commutative property of addition. Let's break it down step-by-step:

1. Understanding the Expression:
- We have the expression [tex]\(83 + 6 = 6 + 83\)[/tex].

2. Applying the Commutative Property:
- The commutative property of addition states that the order in which two numbers are added does not affect the sum. In simpler terms, if you add two numbers in different orders, the result remains the same.

3. Checking Each Side of the Equation:
- Let's calculate the left side: [tex]\(83 + 6 = 89\)[/tex].
- Now, calculate the right side: [tex]\(6 + 83 = 89\)[/tex].

4. Comparing the Results:
- Both sides of the equation give us the result [tex]\(89\)[/tex].
- This confirms that [tex]\(83 + 6\)[/tex] is equal to [tex]\(6 + 83\)[/tex].

5. Conclusion:
- The expression [tex]\(83 + 6 = 6 + 83\)[/tex] indeed demonstrates the commutative property. Both sides equal [tex]\(89\)[/tex], so the property holds true.

This example is a great way to see how the commutative property works in practice with actual numbers!