Which of the following correctly demonstrates the community property of addition zero plus 579,579 123 + 456 equals 579 ABC plus XYZ = XYZ + ABC ABCs XYZ Plus equals zyx CBA

Answer 1

The community property of addition states that the order in which two numbers are added does not affect the sum. This means that for any numbers \( a \) and \( b \),

\[ a + b = b + a \]

Let's analyze the examples you provided to find the correct demonstration of the community property of addition:

1. Zero plus 579,579: This is an example of the identity property of addition (not community property), which states that adding zero to any number does not change the value of that number.

2. 123 + 456 equals 579: This is a simple arithmetic operation, but it does not demonstrate the community property itself.

3. ABC plus XYZ = XYZ + ABC: This is a correct demonstration of the community property of addition, where \( ABC \) and \( XYZ \) are placeholders that can represent any numbers.

4. ABC plus XYZ = XYZ plus ABC: This is essentially the same as above and correct, just stated differently.

5. XYZ plus equals ZYX CBA: This does not make mathematical sense and does not demonstrate any property.

Out of all the options provided, the one that correctly demonstrates the community property of addition is:

ABC plus XYZ = XYZ plus ABC.

This shows that the order of addition does not affect the sum, illustrating the community property.