Question

identify the parts of the complex number $13i + 1$. use the keypad to enter your answers in the boxes. in $13i + 1$, the real numbers are $13$ and $1$, while the imaginary unit is $i$. so, the real part of this complex number is $\square$, while the imaginary part is $\square$

Explanation:

Step1: Recall complex number form

A complex number is written as $a + bi$, where $a$ is the real part, and $b$ is the imaginary part (the coefficient of the imaginary unit $i$).

Step2: Rewrite given number

Rearrange $13i + 1$ to standard form: $1 + 13i$.

Step3: Identify real part

The term without $i$ is the real part: $a=1$.

Step4: Identify imaginary part

The coefficient of $i$ is the imaginary part: $b=13$.

Answer:

The real part of this complex number is $\boldsymbol{1}$, while the imaginary part is $\boldsymbol{13}$