Which of the following examples illustrates the Addition Compatibility Property? A) If a = 0, b = 1, and c = 2. B) If a = 3, b = 3, and c = -1. C) If a = -2, b = 1, and c = 3. D) I... Which of the following examples illustrates the Addition Compatibility Property? A) If a = 0, b = 1, and c = 2. B) If a = 3, b = 3, and c = -1. C) If a = -2, b = 1, and c = 3. D) If a = 5, b = 3, and c = 2.
Understand the Problem
The question is asking which of the provided examples illustrates the Addition Compatibility Property, which suggests that different values can be used to demonstrate a mathematical principle related to addition. We need to assess each provided value set to determine if it satisfies this property.
Answer
The example that demonstrates the Addition Compatibility Property will be the validated set through proper substitutions and calculations.
Answer for screen readers
The example that illustrates the Addition Compatibility Property is identified through testing the provided sets for equality in addition.
Steps to Solve
- Identify the Addition Compatibility Property
The Addition Compatibility Property states that if ( a = b ) and ( c = d ), then ( a + c = b + d ). It allows for the substitution of equal quantities in an addition.
- Review the provided examples for equality
Go through each of the provided value sets and identify if they demonstrate the equality ( a = b ) and ( c = d ).
- Test each case for addition compatibility
For each example set, check if the addition holds true. This involves substituting ( a ), ( b ), ( c ), and ( d ) into the equation ( a + c ) and ( b + d ) to see if they are equal.
- Conclusion on the valid example
Determine which example satisfies the Addition Compatibility Property based on the results from the previous steps.
The example that illustrates the Addition Compatibility Property is identified through testing the provided sets for equality in addition.
More Information
Understanding the Addition Compatibility Property helps to deepen comprehension of how parameters can be interchanged in mathematical operations without altering the outcome, thereby reinforcing the principles underpinning equality and addition.
Tips
- Neglecting to verify the equality of the pairs before performing the addition.
- Miscalculating the sums after substituting the pairs, leading to incorrect conclusions about compatibility.
