Imaginary Unit Complex Worksheets

What Are Imaginary Units and the Standard Complex Form? Imaginary numbers are numbers that can be written as a real figure increased by the imaginary unit 'I'. In contrast, complex numbers are imaginary numbers, but also numbers that have both real and imaginary shares. The imaginaries are a subsection of the complex numbers, just like the naturals as a subset of the integers. Complex Numbers are numbers that will be in standard form, a + bi, where 'a' is the real part but 'bi' is the imaginary part. An illustration of a complex number would be, 3 +5i. Here '3' is the real part, but '5i' is the imaginary part. Actual numbers with no imaginary part can be characterized using complex or compound numbers, such as, 12 + 0i.

Archimedes...

“I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.”