Math Problem Statement
Which equation demonstrates the additive identity property? (7 + 4 i) + (7 minus 4 i) = 14 (7 + 4 i) + 0 = 7 + 4 i (7 + 4 i) (1) = 7 + 4 i (7 + 4 i) + (negative 7 minus 4 i) = 0
Solution
The additive identity property states that for any number , adding 0 to it yields the same number . Mathematically, this is expressed as:
Given the provided options, the equation that demonstrates the additive identity property is:
(7 + 4i) + 0 = 7 + 4i
Explanation:
- In this equation, is the complex number.
- Adding 0 (the additive identity) to results in itself, confirming the additive identity property.
Would you like more details or have any questions?
Here are 5 related questions to consider:
- What is the multiplicative identity property?
- How does the additive inverse property work with complex numbers?
- Can you give an example of the additive identity property using a real number?
- What is the difference between the additive identity and multiplicative identity properties?
- How can the additive identity property be applied in solving equations?
Tip: Remember, the additive identity property is true for all types of numbers: real, complex, integers, and more!
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Math Problem Analysis
Mathematical Concepts
Algebra
Complex Numbers
Additive Identity Property
Formulas
a + 0 = a
Theorems
Additive Identity Property
Suitable Grade Level
Grades 8-10