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How do you write imaginary numbers in standard form?

Question:

How do you write imaginary numbers in standard form?

Complex Numbers:

Complex numbers usually involve a real number component and an imaginary number component. Imaginary numbers are synthesized by taking the square root of negative one and are denoted with the letter i.

Answer and Explanation:

The standard form of writing imaginary and complex numbers is a+bi, where a is the real component and bi is the imaginary component. To write imaginary numbers in standard form, first identify the real component and the imaginary component of the number. The real component is a real number that does not contain an i, while the imaginary component is a real number, which is denoted by the b in the formula, multiplied by the value i. For example, a given complex number is 7+5i+2. First, the real components can be combined by adding 7 and 2 to produce 9. Then, this real value is added to the imaginary component 5i to produce the final complex number of 9+5i. Real and imaginary components cannot be added directly to one another. If the real component of the complex number is 0, then the number can simply be represented by the imaginary component. Examples of this are 5i, -7i, and 47i.


Learn more about this topic:

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What is an Imaginary Number?

from Math 101: College Algebra

Chapter 5 / Lesson 1
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