Let’s go through the worksheet problems one by one. Since you didn’t specify which problem to solve, I’ll assume you want help with
Problem 1, as it’s the first and foundational.
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Problem 1: For the complex number –10 + 4i, identify the real number and the imaginary number.
Step-by-step:
A complex number is written in the form:
>
a + bi
Where:
-
a is the
real part
-
b is the
imaginary part (note: it’s just the coefficient — not including the “i”)
In the number
–10 + 4i:
- The real part is
–10
- The imaginary part is
4 (because it’s 4 times i)
Sometimes people say “imaginary number” meaning the whole term like “4i”, but in math class, when they ask for “the imaginary number” in this context, they usually mean the coefficient — the number in front of i.
✔ So:
- Real number:
–10
- Imaginary number:
4
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Final Answer:
Real number: -10, Imaginary number: 4
Parent Tip: Review the logic above to help your child master the concept of complex numbers worksheet.
