Real numbers are considered complex numbers because they can be expressed as a sum of the real part and the imaginary part, where the imaginary part is zero. Purely imaginary numbers, on the other hand, have a real part of zero and a non-zero imaginary part. The real part of a complex number is identified as the coefficient of the term without the imaginary unit 'i', while the imaginary part is identified as the coefficient of the term with 'i'.
Real numbers are part of the set of complex numbers because they can be expressed as complex numbers with the imaginary part equal to zero. Purely imaginary numbers, on the other hand, have a real part equal to zero. A complex number is typically written in the form a + bi, where a represents the real part and bi represents the imaginary part. To identify the real part of a complex number, simply look at the value of a. The imaginary part is represented by bi, where b is the coefficient of the imaginary unit i.
Real numbers and purely imaginary numbers are considered complex numbers because they can be expressed in the form a + bi, where a is the real part and bi is the imaginary part. Real numbers are those that can be plotted on the number line, including positive, negative, and zero values. Purely imaginary numbers, on the other hand, are multiples of the imaginary unit i (where i² = -1), without a real component. To identify the real part of a complex number, one looks at the value of a, while the imaginary part is represented by the value of bi.
