Tags Numbers

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

0

Subjects>Math>Math & Arithmetic

What is the difference between real numbers and complex numbers?

Anonymous

∙ 10y ago

Updated: 9/24/2023

Real numbers are a proper subset of complex numbers. In fact each complex number, z, can be represented as z = x +iy where x and y are real numbers and i is the imaginary square root of -1.

Thus the set of complex numbers is the Cartesian product of two sets of real numbers. That is, C = R x R where C is the set of complex numbers and R is the set of real numbers. Limitations of this browser prevent me from writing that in a mathematically precise and more helpful fashion.

Wiki User

∙ 10y ago

Still curious? Ask our experts.

Chat with our AI personalities

Jordan

Looking for a career mentor? I've seen my fair share of shake-ups.

Chat with Jordan

Ezra

Faith is not about having all the answers, but learning to ask the right questions.

Chat with Ezra

Beau

You're doing better than you think!

Chat with Beau

Add your answer:

Earn +20 pts

Q: What is the difference between real numbers and complex numbers?

Write your answer...

Submit

Still have questions?

imp

Continue Learning about Math & Arithmetic

What is the difference between imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary numbers.

What is the difference between a complex number and real number system?

Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.

What is the relation of complex numbers to real numbers?

Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.

Is the difference between two real numbers a real number?

Yes, I can't think of any way that a real number minus another real number would be complex or purely imaginary. My answer is yes.

What is the Difference between an integer and a real number?

Integer numbers are a subset of real numbers. Real numbers may contain fractions.

Trending Questions

What happens to the contrast setting on a Ti-82 when memory is cleared? Are pottery and canoes are examples of new technoliges people devoloped to improve there lives true or false? How many years is 60 months? Is 1176 divided by 9? What is an acronym for the terms used when two binomials are multiplied? What is heavier 1 cubic centimeter of gold or 1 cubic centimeter of iron? What are the first 10 composite numbers explain how you know? What is the perimeter of the parallelogram with sides of 9 and altitude of 12? What are the multiple of 4 9 and 15? Why are two regression line? What number completes the sequence 3 4 6 9 13? A rectangular room has an area of 140 sq meters. Its length is 6 meters shorter than twice its width. What is the rooms length and width? What is half of 127? What is the nearest whole number to 3.7 squared? How many inventions of paper money and woodblock printing have been linked? What is universalistic values? 4.5 m equal how many cm? What equals 337? How do you do improper fractions as as mixed number? -15 1 5x?

Related Questions

What is the difference between a set of real numbers and a set of complex numbers?

The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.

What is the difference between imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary numbers.

The difference of two complex numbers is always a complex number?

A complex number is any number that is in the real/imaginary plane; this includes pure reals and pure imaginaries. The difference between two numbers inside this plane is never outside this plane; therefore, yes, the difference between two complex numbers is always a complex number. However, the difference between two numbers that are neither purely imaginary nor purely real is not always necessarily a number that is neither purely imaginary nor purely real. Take x+yi and z+yi for instance, where x, y, and z are all real: (x+yi)-(z+yi)=x+yi-z-yi=x-z. Since x and z are both real numbers, x-z is a real number.

What is the difference between a complex number and real number system?

Graphically the difference is quite clear: the real numbers can be put on a line, the so-called number-line; while complex numbers are represented as points on a plane. A complex number is made up of two parts, like a vector in two dimensions.

What is the difference between a complex number and a non real complex number?

Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.Think of the complex numbers as points on a coordinate system. Instead of the usual x-axis you have the real numbers, instead of the y-axis, you have the imaginary numbers.The real numbers are on the horizontal axis.The imaginary numbers are on the vertical axis.The complex numbers are any number on the plane.The non-real complex are, of course, any complex numbers that are not on the real number axis - not on the horizontal axis.

What is the relation of complex numbers to real numbers?

Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.

Is the difference between two real numbers a real number?

Yes, I can't think of any way that a real number minus another real number would be complex or purely imaginary. My answer is yes.

What is complex math?

Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.

What is the Difference between an integer and a real number?

Integer numbers are a subset of real numbers. Real numbers may contain fractions.

What is the differrent of imaginary numbers to complex numbers?

Imaginary number is a number that consist of only Imaginary part. Such as i, 40i, 1/2i, etc. While the difference between the imaginary numbers and the complex numbers are that complex number also contains Real numbers, and can be written as a + bi. For example, 30+i, 1/2+1/2i, etc.

Set of real numbers and set of complex numbers are equivalent?

Real numbers are a proper subset of Complex numbers.

How is solving a quadratic equation with complex numbers like solving a quadratic equation with real numbers?

Because of how close the two are. The only difference between the two is that a complex number is any whole number along side of a fraction, while a real number is any positive number.

Resources

Top Categories

Product

Company

Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.