Maria's copy of Katy's copy of Complex number arithmetic: add and subtract

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Maria Aneiros 5 years, 10 months ago

Created this as a copy of Katy's copy of Complex number arithmetic: add and subtract.

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

Given the complex numbers

$a=\var{z1},\quad b=\var{z2},\quad c=\var{z3},\quad d=\var{z4},$

calculate the following. Enter your answers in the form

$x+iy$

Give any introductory information the student needs.

			Name	Type	Generated Value

z1	number	1 + 6i
z2	number	10 - 3i
z3	number	-3
z4	number	-2 - 2i
im_z3onz4		Definition of variable `im_z3onz4` is empty.
modz4sq		Definition of variable `modz4sq` is empty.
re_z3onz4		Definition of variable `re_z3onz4` is empty.
z1z3		Definition of variable `z1z3` is empty.
z3z4bar		Definition of variable `z3z4bar` is empty.
z4bar		Definition of variable `z4bar` is empty.

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-10..10)+random(-10..10)i

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`

1 + 6i

→ Used by:

Statement
Advice
"Part a)" - Correct answer
"Part b)" - Correct answer
"Part c)" - Correct answer

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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Maria's copy of Katy's copy of Complex number arithmetic: add and subtract

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Maria Aneiros 5 years, 10 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

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Error

Maria's copy of Katy's copy of Complex number arithmetic: add and subtract

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Maria Aneiros 5 years, 10 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`