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To divide two complex numbers, multiply by the complex conjugate of the denominator.


graphic calculatorA note about graphic calculators
A graphic calculator, for example the TI-83 or similar model, can work with complex numbers.

complex number conversionscomplex number modeFirst select MODE and move down to select a+bi:
Then press 2nd QUIT and enter a complex number sum.

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complex number

A number of the form a+bi where i is the square root of -1, and a and b are real.


of a complex number a+bi is a-bi.


the integer on the bottom of a fraction


the value in a set of discrete data that occurs most frequently


The union of two sets A and B is the set containing all the elements of A and B.


Equal to F x s, where F is the force in Newtons and s is the distance travelled and is measured in Joules.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)FP2Complex NumbersComplex algebra-
AQA AS Further Maths 2017Pure MathsComplex Number BasicsComplex Algebra-
AQA AS/A2 Further Maths 2017Pure MathsComplex Number BasicsComplex Algebra-
CBSE XI (India)AlgebraComplex Numbers and Quadratic EquationsImaginary unit-
CCEA A-Level (NI)FP1Complex NumbersComplex algebra-
CIE A-Level (UK)P3Complex NumbersComplex algebra-
Edexcel A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra-
Edexcel AS Further Maths 2017Core Pure MathsComplex NumbersComplex Algebra-
Edexcel AS/A2 Further Maths 2017Core Pure MathsComplex NumbersComplex Algebra-
I.B. Higher Level1Complex NumbersComplex algebra-
Methods (UK)M3Complex NumbersComplex algebra-
OCR A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra-
OCR AS Further Maths 2017Pure CoreComplex Number BasicsComplex Algebra-
OCR MEI AS Further Maths 2017Core Pure AComplex Number BasicsComplex Algebra-
OCR-MEI A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra-
Pre-U A-Level (UK)7Complex NumbersComplex algebra-
Scottish Advanced HighersM2Complex NumbersComplex algebra-
Scottish (Highers + Advanced)AM2Complex NumbersComplex algebra-
Universal (all site questions)CComplex NumbersComplex algebra-
WJEC A-Level (Wales)FP1Complex NumbersComplex algebra-