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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.

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โˆ™ 2009-11-14 02:28:37
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โˆ™ 2009-11-14 02:28:37

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.

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


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 imaginary numbers and complex numbers?

No difference. The set of complex numbers includes the set of imaginary 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 graphical relationship between a conjugate number and a complex number?

Graphically, the conjugate of a complex number is its reflection on the real axis.


What is the relationship between a complex number and its conjugate?

When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.


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.


A number can be both real and complex?

Any real number is a complex number with an imaginary part equal to 0


What do you get if you raise a real number to a complex number?

You get a complex number unless the real number happens to be 0 or 1.


Is one a real complex pure imaginary or nonreal complex number?

One is a complex number and a real number.


How is a percent a real number?

It need not be. For example, a complex number as a percent of most other complex numbers, or any real number, will not be a real number.


Can a number be real and complex?

Yes. If the number is like, for example, 3+0i, then you'll figure out that the number, though is written as a complex number, is actually a real number 'cause 0i=0 and 3+0=3 so you have both real and complex number. Every number is a complex number, no matter if it's imaginary or real or a combination of both (a+bi).


What is the difference between the real number of algebra?

Some have alphabets


Is -4 a nonreal complex number?

No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)


Are imaginary and complex numbers the same?

No. A complex number is a number that has both a real part and an imaginary part. Technically, a pure imaginary number ... which has no real part ... is not a complex number.


Is pi a complex number?

The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".


What is the difference between one number and the next on a number line?

If you are talking about integers on the number line, the answer is 1. If you are talking about real numbers, then there is always a real number between every other two, so you can't really talk about the difference.


Can a number be both complex and imaginary?

A complex number has a real part and a (purely) imaginary part, So imaginary numbers are a subset of complex numbers. But the converse is not true. A real number is also a member of the complex domain but it is not an imaginary number.


Every integer is a complex number?

Yes. Every integer is a rational number. Every rational number is a real number. Every real number is a complex number. The complex numbers include all real numbers and all real numbers multiplied by the imaginary number i=sqrt(-1) and all the sums of these.


Can a complex number can't be a pure imaginary number?

A complex number can be a pure imaginary, or a pure real number, or a combination of the two. The form for a complex number is a + bi, where a & b can be any real numbers (so if a = 0, then the number is pure imaginary; and if b=0, then it is a real number).


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.


A complex number might not be a pure imaginary number?

True. Complex numbers have a real part and an imaginary part. If either one of these is zero, the complex number will be a pure real or a pure imaginary.


What is the difference between the unit circle and imaginary unit circle?

A unit circle is in the coordinate plane where both axes are measured in real numbers. The imaginary circle is in the complex plane in which one axis (horizontal) measures the real component of a complex number and the other axis measures the imaginary component.


Is 4 a complex number?

A complex number is denoted by Z=X+iY, where X is the real part and iY is the imanginary part. So the number 4 would be 4+i0 and is the real part of a complex number and so 4 by itself is just a real number, not complex.

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