Question

now examine |a + bi| and complete the definition below.
the absolute value of any complex number a + bi
is the \boxed{} from (a, b) to (0, 0) in the
complex plane.
done
|a+bi| = 3.0

Explanation:

In the complex plane, a complex number \(a + bi\) is represented as the point \((a, b)\). The absolute value \(|a + bi|\) is defined as the distance from this point \((a, b)\) to the origin \((0, 0)\) (since distance in a plane between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\sqrt{(x_1 - x_2)^2+(y_1 - y_2)^2}\), and here \((x_2,y_2)=(0,0)\), so it's the distance from \((a,b)\) to \((0,0)\)). The graph also shows a circle centered at the origin with radius \(|a + bi|\), which is the distance from \((a,b)\) to \((0,0)\).

Answer:

distance