Online Algebra Tutoring: Complex Numbers (Division)
Why do students and parents choose eTutorWorld?
What is math? It is the singular core subject that delights as it increases in complexity. And nobody understands this better than eTutorWorld’s math tutors.
Give the gift of online math tutoring lessons ateTutorWorld today, thereby giving your child a distinct advantage over other children in their class. Help them master these valuable concepts, covering all math topics, from algebra to trigonometry, and geometry to calculus, and not to mention arithmetic – from subject matter experts with decades of tutoring experience. Let your child learn from our highly experienced math tutors for all grades 3 to 12.
Learn Multiplication & Division of Complex Numbers from Certified Online Algebra Tutor
We use FOIL Method (which we use to multiply two binomials) to multiply two complex numbers.
F = Firsts
O = Outers
I = Inners
L = Lasts
i = √-1, i2 = -1, i3 = – i, i4 = 1
p+qi and r+ti are two complex numbers.
(p+qi ) ×(r+ti) = pr + pti + qir + qti2
pr + (pt+qr) i + qti2
Example: (6 + 3i) × (3 + 4i)
= 18 + 24i + 9i + 12i2
= 18 + (24 + 9) i + 12(-1) ———— (because i2 = -1)
= 18 + 33i – 12
= 6+ 33
p+qi is a complex number. p-qi is the conjugate of p+qi. We can use conjugates to divide two Complex Numbers.
To divide two Complex Numbers, multiply numerator and denominator by the conjugate of the denominator.
The numerator and denominator can be solved by using FOIL.
(r+ti)×(r-ti) =r2-rti + rti-t2 i2
Example: (2+4i)÷ (3-4i)
Conjugate of 3 – 4i is 3 + 4i, so multiplying the numerator and denominator by this conjugate.
1. (3 – 3i) × (2 + 4i)
2. (6 – 3i)÷(2 + i)
3. (7 + 3i) ÷ (2 + 5i)
4. (4 + 5i) ÷ (3 + 2i)
5. (2 – 3i) × (4 + 7i)
Schedule the FREE TRIAL lesson to meet a tutor and get help on any topic you want! Get access to hundreds of math practice worksheets!
No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor & get help on any topic you want!
Our Learning by Design methodology focuses exclusively on individual students.
Our expert tutors are specially trained to identify and diagnose the needs and skills of each student and plan future tutoring lessons accordingly.
Know more about our Personalised Online Tutoring Packs.
Give Your Child The eTutorWorld Advantage
Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.
Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.
Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.
The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.
All tutoring sessions are recorded and made available for a month so you can review concepts taught.
Email or call our support team with any issues or questions – we are here for you 24X7.
Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!
Thousands have taken the eTutorWorld Advantage – what are you waiting for?
© 2019 eTutorWorld - Online Tutoring and Test Prep | All rights reserved