How do you multiply/divide complex numbers in Excel?

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Discussion Overview

The discussion revolves around how to multiply and divide complex numbers using Excel, specifically focusing on a given expression and the need for dynamic calculations as input values change. Participants explore various methods and functions available in Excel for handling complex numbers.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • The original poster (OP) presents a complex expression and seeks guidance on how to implement it in Excel.
  • Some participants suggest using Excel's built-in functions like "IMPRODUCT" and "IMDIV" for complex number calculations.
  • One participant recommends using dedicated mathematical software instead of Excel for better functionality in handling complex numbers.
  • Another participant describes a manual method of converting complex numbers from rectangular to polar coordinates and performing operations, although they note that Excel can handle complex numbers directly.
  • A few posts point out a semantic issue regarding the terminology used by the OP, clarifying that the expression presented is not an equation due to the lack of an equals sign.
  • There is a reminder about checking the dates of previous posts before responding, indicating that similar solutions have been provided in the past.

Areas of Agreement / Disagreement

Participants generally agree on the use of Excel functions for complex number calculations, but there is disagreement on the necessity of using dedicated mathematical software versus Excel. Additionally, there is a minor debate about the correct terminology regarding the OP's expression.

Contextual Notes

Some participants express uncertainty about the best approach to take, highlighting that while Excel has capabilities for complex numbers, alternative methods may also be valid depending on the user's needs.

Who May Find This Useful

This discussion may be useful for individuals looking to perform complex number calculations in Excel, as well as those interested in alternative methods for handling complex numbers in mathematical software.

camino
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I have the equation:

(.462-.32094i)*[(7.2+9.6i)/(4-8i)]

the answer is:

.107+.748i

Now, I need to know how to enter this in Excel, because the 4 will be varying and I will need many rows and then my answer to be changing with the change in the equation.

I have tried =COMPLEX(.462,-.32094)*(COMPLEX(7.2,9.6)/COMPLEX(4,-8)) but this does not work.

Please help!
 
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This isn't a direct answer, but you will be much better served now AND in the future by simply using real mathematical software. Mathematica, Matlab, Maple, etc...
 
See the Excel "Engineering" functions "IMPRODUCT", IMDIV", "IMSUB", "IMSUM", etc.
 
Here's how I'd do it...

Enter your varying number in the yellow box, your result will be displayed in the green box.
 

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Last edited:
Try this:

=IMPRODUCT(COMPLEX(0.462,-0.32094),IMDIV(COMPLEX(7.2,9.6),COMPLEX(4,-8)))
 
To get the complex functions you need to go to Tools->Add ins and select the Analysis Pac to install.
 
You could also do this the old fashioned way.

Convert your number from rectangular coordinates to polar coordinates using the Pythagorean Theorem and arctangent.

Divide the magnitude as normal while subtracting the angles (best to leave it in radians).

Multiply the magnitude as normal while adding the angles.

Take powers and roots for the magnitude as normal. Multiply or divide your angle (depending on whether you're calculating a power or a root).

Convert your final answer back to rectangular coordinates using cosine and sine.

Not a whole lot of reason when Excel handles complex numbers. But it does work, especially if you're using a slide rule or a calculator that doesn't handle complex numbers.
 
BobG said:
If God meant for man to count higher than 1,048,575 he would have given him more fingers and toes.

Technically, you could count to 1,048,576 using 20 digits (fingers and toes).

Consider that with 2 digits, you can count from 0 to 3; that's 4 possible outcomes, therefore you can count 4 things with 2 digits. The 1st item is 00, the 2nd item is 01, the 3rd is 10 and the 4th is 11. (Zero items gets no label at all).

I'm just saying...
 
camino said:
I have the equation:

(.462-.32094i)*[(7.2+9.6i)/(4-8i)]

the answer is:

.107+.748i
Not a big point, but this -- (.462-.32094i)*[(7.2+9.6i)/(4-8i)] -- is not an equation. A major clue is the absence of an equals sign.
 
  • #10
Mark44 said:
Not a big point, but this -- (.462-.32094i)*[(7.2+9.6i)/(4-8i)] -- is not an equation. A major clue is the absence of an equals sign.

True in both points (it's not an equation and it's not a big point).

The OP should have said, "I have the expression..."
 
  • #11
your right man
 
  • #12
"=improduct(...,imdiv(...,...))"
... this cell is complex numbers.
 
  • #13
Two people already posted this answer (posts 3 and 5), more than a year and a half ago.

Some advice: when you find a thread via a Google search or something, check the dates on the posts before you respond.
 

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