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What are pure imaginary numbers?
complex numbers with no real partif any complex number z can be written a + i bthen pure imaginary numbers have a=0 and b not equal to 0
What is the definition of a pure imaginary number?
A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.
Are there more real numbers than imaginary numbers?
Both imaginary and real numbers are infinite .Answer:Any real number can be turned into an imaginary number by multiplying it by "i" ot "j" (the root of -1). Hence it would appear that the set of all real numbers would equal the set of all imaginary numbers. However 0 (zero) multiplied by anything still equals zero. This would mean that there is at least one number that cannot be converted to an imaginary number.
Is every complex nberan imaginary number?
No. A complex number consists of a real part and a imaginary part. If the real part equals zero, there is only the imaginary left and you could therefor argue that it is an imaginary number (or else it would still be a complex number -with a real part=0)
Is the sum of two pure imaginary numbers always a pure imaginary number?
Yes, the only argument would be the example, i + (-i) = 0. However, many people don't realize that 0 is both a purely real and pure imaginary number since it lies on both axes of the complex plane.
A number can be both real and complex?
Any real number is a complex number with an imaginary part equal to 0
What are pure imaginary numbers?
complex numbers with no real partif any complex number z can be written a + i bthen pure imaginary numbers have a=0 and b not equal to 0
The power of 0?
1. Any number to the power of 0 is equal to 1.
What does 0 to the power of 0 equal?
0 to the power 0 is 1 because any number power zero is always equal to 1.Anything to the power of 0 equals 1.
If a number is raised is it 0?
Any number raised to the power 0 is equal to 1. The exception is 0 to the power 0, which is not defined.
What does a number raised to the power of 0 equal?
Any number raised to the power 0 equals 1.
Why is -10 to the power 0 equal to?
Do you mean "What is -10 to the power 0 equal to?" Any number raised to 0 evaluates to 1
Why is a number to the 0 power always equal 1?
Because to the 0 power, you are not multiplying the number, the number just stays what it is.
Why does 2 to the power of 0 equal 1?
any number to the power of 0 = 1
What does the power of 0 mean?
Any number to the power of 0 is always equal to 1
What number that can be written as a and bi where a and b are integers and b does not equal 0 is called a?
Complex number... though a and b don't have to be integers, and if a = 0 then it's a pure imaginary number.
What is the definition of a pure imaginary number?
A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.
