Complex number arithmetic

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Denis Flynn

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Denis Flynn 8 years, 2 months ago

Created this as a copy of Complex number arithmetic.

Name	Status	Author	Last Modified
Complex number arithmetic	Ready to use	Dann Mallet	13/04/2017 16:35
Complex Numbers 2	draft	Mark Hodds	13/11/2016 19:40
Complex number arithmetic	draft	Denis Flynn	24/01/2017 12:19
Complex number arithmetic: add and subtract	Ready to use	Martin Jones	03/12/2024 14:52
Complex number arithmetic: multiply and divide	draft	Martin Jones	30/11/2022 14:19
Aritmetica dei numeri complessi	draft	Michele Passante	25/04/2017 14:50
Inbbavathie's copy of Complex number arithmetic: multiply and divide	draft	Inbbavathie Ravi	12/07/2017 13:51
Inbbavathie's copy of Complex number arithmetic	draft	Inbbavathie Ravi	12/07/2017 16:12
Matthew's copy of Complex number arithmetic	draft	Matthew Blacklock	01/05/2018 16:44
Harry's copy of Matthew's copy of Complex number arithmetic	draft	Harry Flynn	24/05/2018 12:36
Maria's copy of Complex number arithmetic: multiply and divide	draft	Maria Aneiros	25/05/2019 08:20
Maria's copy of Katy's copy of Complex number arithmetic: add and subtract	draft	Maria Aneiros	25/05/2019 08:32

There are 24 other versions that do you not have access to.

Question statement

This question will help you to practice adding, subtracting, multiplying and dividing complex numbers in Cartesian/rectangular form. If you wish, you might like to watch this video which explains these operations and how to do problems like these.

Given the complex numbers

$z_1=\var{z1},\quad z_2=\var{z2}, \quad z_3=\var{z3}, \quad z_4=\var{z4},$

calculate the following (write your answers in Cartesian/rectangular form).

Give any introductory information the student needs.

			Name	Type	Generated Value

z3bar	number	9 - 7i
z2bar	number	3 - 3i
z1bar	number	7 + 10i
z4bar	number	-10 + 8i
modz2sq	number	18
modz1sq	number	149
modz3sq	number	130
modz4sq	number	164
z3z4bar	number	-146 + 2i
z2z4bar	number	-54 - 6i

			Name	Type	Generated Value

z1	number	7 - 10i
z2	number	3 + 3i
z3	number	9 + 7i
z4	number	-10 - 8i
re_z3onz4	number	-0.8902439024
im_z3onz4	number	0.012195122
z1plusz2	number	10 - 7i
z1minusz2	number	4 - 13i
z1z3	number	133 - 41i
z1z2	number	51 - 9i

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
conj(z3)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `number`

9 - 7i

← Depends on:

→ Used by:

modz3sq

Advice

$z_1+z_2=(\var{z1})+(\var{z2})=\simplify{{z1}+{z2}}$

$z_1-z_2=(\var{z1})-(\var{z2})=\simplify{{z1}-{z2}}$

$z_1z_3=(\var{z1})(\var{z3})=\var{z1z3}$

$\frac{z_3}{z_4}=\frac{\var{z3}}{\var{z4}}=\frac{(\var{z3})(\var{z4bar})}{(\var{z4})(\var{z4bar})}=\simplify{{z3z4bar}/{modz4sq}}\approx \var{re_z3onz4}+\var{im_z3onz4}$

Give a worked solution to the whole question.

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This question is used in the following exam:

Complex Arithmetic I & II, Argument and Modulus of Compex Numbers by Denis Flynn in Denis's workspace.

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Taxonomy: mathcentre

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Denis Flynn 8 years, 2 months ago

Error in variable testing condition

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Generated value: `number`

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Mathematical expression

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Complex number arithmetic

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Denis Flynn 8 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `number`