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 aa, adding 0 to it yields the same number aa. Mathematically, this is expressed as:

a+0=aa + 0 = a

Given the provided options, the equation that demonstrates the additive identity property is:

(7 + 4i) + 0 = 7 + 4i

Explanation:

  • In this equation, (7+4i)(7 + 4i) is the complex number.
  • Adding 0 (the additive identity) to (7+4i)(7 + 4i) results in (7+4i)(7 + 4i) itself, confirming the additive identity property.

Would you like more details or have any questions?


Here are 5 related questions to consider:

  1. What is the multiplicative identity property?
  2. How does the additive inverse property work with complex numbers?
  3. Can you give an example of the additive identity property using a real number?
  4. What is the difference between the additive identity and multiplicative identity properties?
  5. 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