Yes they do, complex conjugate only flips the sign of the imaginary part.
Oh, isn't that just a happy little question? The complex conjugate of a real number like 8 is just 8 itself because there is no imaginary part to change. Just like how every tree needs its roots, every real number needs its complex conjugate to stay balanced and harmonious. Just remember, there are no mistakes, only happy little accidents in math!
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.
A complex number is a number of the form a + bi, where a and b are real numbers and i is the principal square root of -1. In the special case where b=0, a+0i=a. Hence every real number is also a complex number. And in the special case where a=0, we call those numbers pure imaginary numbers. Note that 0=0+0i, therefore 0 is both a real number and a pure imaginary number. Do not confuse the complex numbers with the pure imaginary numbers. Every real number is a complex number and every pure imaginary number is a complex number also.
Yes. Every number is equal to itself (and to no other number).
No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.
A complex number z has two parts - a real part and an imaginary part - and is of the form:z := x + iywherex and y are real numbersi represents √-1, that is i2 = -1.("x" is the real part, "iy" is the imaginary part)As x and y are real numbers, they can be any real number including 0.If x = 0, the resulting complex number z is of the form "iy" and is totally imaginary;if y = 0, the resulting complex number z is of the form "x" and is totally real.Thus real numbers are a subset of complex numbers, that is every real number is a complex number, but not every complex number is a real number.yes
Yes! Every complex number z is a number, z = x + iy with x and y belonging to the field of real numbers. The real number x is called the real part and the real number y that accompanies i and called the imaginary part. The set of real numbers is formed by the meeting of the sets of rational numbers with all the irrational, thus taking only the complex numbers with zero imaginary part we have the set of real numbers, so then we have that for any irrational r is r real and complex number z = r + i0 = r and we r so complex number. So every irrational number is complex.
No. There are complex numbers and quaternions which are not real numbers.
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).
every number is unique and equal only to itself. The only number that is equal to 1000 is 1000.
Yes, they are equal. Every atom will have an equal amount of protons and electrons.
"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.