MA19.PRE.2

Mathematics (2019) Grade(s): 09-12 - Precalculus

Students know:

The definition of the conjugate of a complex number.
A complex number divided by itself equals 1.
The product of a complex number and its conjugate is a real number (the square of the modulus).

Students are able to:

Students understand that:

The conjugate of a complex number differs by the sign of its imaginary part and has the same modulus.
The modulus of a complex number corresponds to the magnitude of a vector and, therefore, is useful in the geometric representation of complex numbers.
Mathematical convention is that radical expressions are not left in denominators to facilitate numerical approximations. therefore, since the i is equal to the square root of -1, conventional form says that i does not appear in the denominator of a fraction.
Different forms of a complex number quotient (indicated quotient, single complex number) may be more useful for various purposes.