1. Definition
The modulus of z=a+bi is |z|=√(a²+b²), the distance from (a,b) to the origin.
3. Properties & Laws
- Non-negative;
- |z₁z₂|=|z₁||z₂|;
- z z̄=|z|²;
- Geometric distance.
4. Steps
- Enter a,b;
- Click "Modulus";
- Or click "Load Example".
5. Worked Examples
Example: 3+4i: |z|=5.
6. Common Pitfalls
Take the root;
Square both;
Non-negative.