Find each quotient. Write answers in standard form. -5 / i

Key Concepts

Complex Numbers

Complex numbers are numbers that have a real part and an imaginary part, typically expressed in the form a + bi, where 'a' is the real part and 'b' is the coefficient of the imaginary unit 'i', which is defined as the square root of -1. Understanding complex numbers is essential for performing operations involving imaginary units, such as division.

Division of Complex Numbers

Dividing complex numbers often involves multiplying the numerator and denominator by the conjugate of the denominator to eliminate the imaginary unit from the denominator. The conjugate of a complex number a + bi is a - bi. This process simplifies the division and allows the result to be expressed in standard form.

Standard Form of Complex Numbers

The standard form of a complex number is a + bi, where 'a' and 'b' are real numbers. When performing operations with complex numbers, it is important to express the final result in this form for clarity and consistency. This involves ensuring that the real and imaginary parts are clearly separated.