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All pairs of numbers, written in the form a + bi (for example: 3 + 5i, or 7 - 2i, etc.), where the first number is called (for historical reasons) the "real part" and the second number the "imaginary part". Complex numbers can be graphed as points on a plane. They have important applications in several fields of science, arts, and pure mathematics.
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What number is not part of the rational number system?
An irrational number, an imaginary number, a complex number, a quaternion.
Can a complex number be a pure imaginary number?
Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
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.
Is one a real complex pure imaginary or nonreal complex number?
One is a complex number and a real number.
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.
Why is it better to solve quadratic equations in the complex number system rather than in the real number system?
It is not always better.Although quadratic equations always have solutions in the complex system, complex solutions might not always make any sense. In such circumstances, sticking to the real number system makes more sense that trying to evaluate an impossible solution in the complex field.
What are the sets of numbers that are part of the complex number system?
Real number set, imaginary number set, and their subsets.
What number is not part of the rational number system?
An irrational number, an imaginary number, a complex number, a quaternion.
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.
Did the Australian Aborigines need a complex number system?
Not at all. The early Australian Aborigines lived completely off the land, and the only thing they needed to be able to do was to read the signs in the weather patterns and the environment. There was no need for a number system, either simple or complex.
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.
Solve 7-24i complex number?
31
Adjoint operator of a complex number?
Adjoint operator of a complex number?
What is another name for absolute value of a complex number?
The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a² + b²) for the complex number a + bi
Can a complex number be a pure imaginary number?
Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.
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.
What is a real solution?
There are two types of numbers. The real number system that we use everyday for counting and money and such. There is also the imaginary or complex number system that is used to help evaluate the square roots of negative numbers. A 'real solution' generally means that the solution is one from the real number system. When solving an equation (especially at lower grade levels) the answer might be that there are no real solutions. However there might be complex solutions to the problem.
