SOLUTION: Identify the real and imaginary parts of the expression and simplify 3i + 2-(i+1) +9i

Question 1166809: Identify the real and imaginary parts of the expression and simplify
3i + 2-(i+1) +9i
Found 2 solutions by solver91311, Theo:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

What don't you understand about this problem? It is just the same as collecting like terms in any other expression. The real part is the part that doesn't have an "i" in it. The imaginary part is the part that does have an "i" in it.

John

My calculator said it, I believe it, that settles it

I > Ø

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the real part is the number that is not multiplied by i.
the imaginary part is the number that is multiplied by i.

your expression is:

3i + 2 - (i + 1) + 9i
simplify this to get:
3i + 2 - i - 1 + 9i
combine like terms by adding the numbers not multiplied by i together and then adding the number multiplied by i together to get:
11i + 1
the real part is usually shown to the left of the imaginary part, so the expression becomes:
1 + 11i.

that's your answer.

here's a reference on complex number arithmetic.

https://mathbitsnotebook.com/Algebra2/ComplexNumbers/CPArithmeticASM.html

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