Question
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
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GPT-4o mini
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.
\[ a + b = b + a \]
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.
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