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Mathematics 8 Online
OpenStudy (shaleiah):

Help!

Nnesha (nnesha):

`a+bi `can you tell me which term is an imaginary and which one is real part ? do you know the definitions ?

OpenStudy (shaleiah):

3 is a real number and 719 is pure imaginary.

Nnesha (nnesha):

that's correct and what would be the complex number ?

Nnesha (nnesha):

btw you should say `719i` is pure imaginary number

Nnesha (nnesha):

that's correct and what would be the complex number ?

OpenStudy (shaleiah):

Alright, 3 seems to be a complex number.

Nnesha (nnesha):

complex is a sum of both real+imaginary numbers

Nnesha (nnesha):

\[\rm a+bi\] where `a` is real number `bi` is pure imaginary ( imaginary part b) and the sum of both is complex \[\rm \color{Red}{a}+\color{blue}{bi} \]

OpenStudy (unklerhaukus):

assuming a,b ≠ 0

OpenStudy (shaleiah):

Alright, the number has both real and complex parts.

Nnesha (nnesha):

`real+imaginary =complex` the combination of real and imaginary number is complex number

Nnesha (nnesha):

oh i see select all that apply hmm they are asking about `3-719i` which is what number ?

OpenStudy (shaleiah):

complex

Nnesha (nnesha):

correct

OpenStudy (shaleiah):

What type of number would it be if a was imaginary and bi was a real number? @Nnesha

OpenStudy (shaleiah):

would it still be complex?

Nnesha (nnesha):

`bi` is not real number do you see the `i` that makes it imaginary number where just b is real but together bi is an imaginary

Nnesha (nnesha):

a can't be imaginary if it's `ai` then you can say ai is imaginary

Nnesha (nnesha):

b are**

Nnesha (nnesha):

a+bi where a and b are integers

OpenStudy (shaleiah):

Alright, I understand now. The next question was just arranged differently from this one. It would still be complex.

Nnesha (nnesha):

yes just remember if its just a number then it's real and if it is with `i` then that would be imaginary part here are some examples \[\rm 3i +4\] complex number where `3i` is an imaginary part and 4 is real

Nnesha (nnesha):

or fractions \[\rm \frac{ 4i+6 }{ 5 } can~be~written~as~\frac{ 4i }{ 5 } +\frac{6}{5}\] where 4i/5 is imaginary part and 6/5 is real

OpenStudy (shaleiah):

Alright, let's see... For example: -240.1 <--- real parts.

OpenStudy (shaleiah):

There's no \[i\]

Nnesha (nnesha):

correct if there is no i then there is no imaginary part

OpenStudy (shaleiah):

oh my gosh, it just said incorrect.

OpenStudy (shaleiah):

Khan**

Nnesha (nnesha):

what ??

OpenStudy (shaleiah):

Khan labeled 'real' as incorrect. Its supposed to be real and complex :/

OpenStudy (shaleiah):

Never mind, I passed the topic :)

Nnesha (nnesha):

i see that's where we should use the fact provided by uncle; if a=0 then it would be imaginary and complex and if b=0 then it would be real and complex

Nnesha (nnesha):

so for \[ -240.1 \] is same as \[\rm 0i-240.1\]

Nnesha (nnesha):

that what makes it real AND complex

Nnesha (nnesha):

one more example \[\rm 4i\] is this real complex or imaginary ?

OpenStudy (shaleiah):

Should be imaginary.

Nnesha (nnesha):

what if the statement says check all that apply ?

OpenStudy (shaleiah):

It would be: real complex. 4 is a real number and \[i\] is a imaginary that would equal a complex number.

Nnesha (nnesha):

no 4i is an imaginary part where just 4 is real number but that would make 4i real 4i is same as 0+4i where 0 is real part and 4i is an imaginary part so 0+4i=4i which is complex AND an imaginary

Nnesha (nnesha):

would NOT**

Nnesha (nnesha):

if given is 3 options and we have to pick 2 then you should pick complex and imaginary and if you just pick one then just imaginary part

Nnesha (nnesha):

more examples `real,imaginary,complex ?` \[\rm 3i+2\] pick two`real,imaginary, complex` \[5\] pick two`real,imaginary, complex` \[6.6i\]

OpenStudy (shaleiah):

1. complex 2. real and complex. 3. imaginary complex.

Nnesha (nnesha):

perfect

Nnesha (nnesha):

5 is same as 5+0i and 6.6i is same as 0+6.6i

OpenStudy (unklerhaukus):

is 0 + 0i real, imaginary, complex, or none of the above?

OpenStudy (shaleiah):

real complex

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