The expression \( 1 + 45i \) represents a **complex number**. Complex numbers consist of a real part and an imaginary part, with \(i\) being the imaginary unit defined by \(i^2 = -1\).

For \( 1 + 45i \):
- The real part is \( 1 \).
- The imaginary part is \( 45i \).

Would you like to perform a specific operation or transformation on this complex number, such as finding its modulus, argument, or something else?

Here are five related questions:
1. How do you find the modulus of a complex number?
2. What is the geometric interpretation of complex numbers on the complex plane?
3. How do you add or subtract two complex numbers?
4. How can you multiply and divide complex numbers?
5. What is the conjugate of a complex number?

**Tip**: The modulus of a complex number \(a + bi\) is found by \( \sqrt{a^2 + b^2} \).

Explore the complex number 1 + 45i, which consists of a real and an imaginary part. Learn how to calculate its modulus and other operations with this detailed breakdown. Suitable for students in Grades 9-12.

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