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Complex numbers: real and imaginary parts

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Added on  2019-10-09

Complex numbers: real and imaginary parts

   Added on 2019-10-09

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Complex numbers: real and imaginary partsEvery complex number has the following shape: a+ib. The first part of that complex number is real: the real constant a. The second part is imaginary: the real constant b multiplied by i. The constant a is referred to as "the real part", not too controversially, and the constant b is referred to as "the imaginary part". NOTICE: the imaginary part is just the constant b, not ib. Adding and subtracting complex numbersAddIf you know how to add and subtract real numbers then you can add and subtract complexnumbers. All you have to remember is to keep the real parts and the imaginary parts separate. Here's what I mean. Suppose we want to add the two complex numbers 2+3i and 4-i. What do you think the answer will be? Adding 2+3i and 4-iFirst look at the real parts of each of the complex numbers. The first complex number, 2+3i, has real part 2. The second complex number, 4-i, has real part 4. Add the real parts together, to get the real part of the result. So the result has real part 6. Next, look at the imaginary parts of each complex number. The first complex number, 2+3i, has imaginary part 3. (NOT 3i) The second complex number, 4-i, has imaginary part -1. (NOT -i) Add the imaginary parts together, to get the imaginary part of the result. So the result has imaginary part 2. Thus our result is: (2+3i)+(4-i)=6+2i.
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