Final answer:
The Cartesian form for a complex number combines a real part with an imaginary part as a+bi, making 154+3i the correct representation in Cartesian form.
Step-by-step explanation:
The number 154+3i is already written in Cartesian form, which is expressed as a real part plus an imaginary part. In this form, 'a' represents the real part and 'b' represents the imaginary part, combined as a+bi. Therefore, the correct answer to the question is option a) 154+3i. In mathematical terms, the Cartesian form of a complex number is represented as \( a+bi \), where 'a' denotes the real part, and 'b' represents the imaginary part. In the case of the given complex number \( 154+3i \), it's presented in the standard Cartesian form as it combines a real component (\( 154 \)) with an imaginary component (\( 3i \)). This format clearly distinguishes between the real and imaginary parts within the complex number, adhering to the Cartesian form's convention of \( a+bi \).
Hence, the provided complex number \( 154+3i \) is correctly expressed in Cartesian form, confirming that option a) \( 154+3i \) is the precise representation as per the Cartesian form of a complex number.