Calculate 2 3i cdot 4 2i. Complex numbers other contents.
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And are real numbers and 0.
Operations with complex numbers worksheet pdf. Day 2 operations with complex numbers swbat. Complex number any number that can be written in the form where and are real numbers. F i2 n0o12f ekunt la i zs3onf mtmwtaqruec 0lwlocx o f ha jl jln drdiag ght sc fr 1ersve1r2vte od p a g xmxacdde 9 9waiht5hb 1i2nafuizn zibtmev fa sl agesb 7rfa g g2d z worksheet by kuta software llc kuta software infinite algebra 2 name operations with complex numbers date period simplify.
A bi c di a c and b d. If two complex numbers say a bi c di are equal then both their real and imaginary parts are equal. 1 i34 2 i129 3 i146 4 i14 5 i68 6.
Add to my workbooks 0 download file pdf embed in my website or blog add to google classroom. Express each expression in terms of i and simplify. But first equality of complex numbers must be defined.
The real parts with real. Worksheet by kuta software llc algebra 2 operations with complex numbers name date period q y2m0n1t6k dkfu ttaq usgomflt wjaorhed lnlkcm w la lhls nrjikgghit sm rreedskedrdvmehdu 1 simplify. Operations of addition and multiplication of complex numbers are commutative associative and distributive.
This is termed the algebra of complex numbers. Add subtract multiply and divide complex numbers. You will see that in general you proceed as in real numbers but using i 2 1 where appropriate.
1 2 3 i49 4 i246 all operations on complex numbers are exactly the same as you would do with variables just make sure there is no power of in. Addition subtraction combine like terms i e. And both can be 0 the union of the set of all imaginary numbers and the set of all real numbers is the set of complex numbers.
Answers to multiplying complex numbers 1 64i 2 14i 3 18 6i 4 8i 5 24 6 64 7 20 46i 8 25 49i 9 20 50i 10 18 66i 11 2 18i 12 30 20i 13 21 18i 14 24 36i 15 126 210i 16 7 35i 17 7 199i 18 568 144i 19 252 84i 20 224 288i. Answers to dividing complex numbers 1 i 2 i 2 3 2i 4 7i 4 5 1 8 i 2 6 1 10 i 2 7 1 7 9i 7 8 3 2 3i 2 9 1 5 i 15 10 3 13 2i 13 11 2 5 3i 10 12 4 5 2i 5 13 27 113 47i 113 14 59 53 32i 53 15 3 29 22i 29 16 17 25 4i 25 17 57 89 69i 89 18 41 145 28i 145 19 36. Illustrate complex numbers on an argand diagram investigate the operations of addition multiplication subtraction and division with complex numbers in the form a ib interpret the modulus as distance from the origin on an argand diagram and calculate the complex conjugate calculate conjugates of sums and products of complex.
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