Help!
`a+bi `can you tell me which term is an imaginary and which one is real part ? do you know the definitions ?
3 is a real number and 719 is pure imaginary.
that's correct and what would be the complex number ?
btw you should say `719i` is pure imaginary number
that's correct and what would be the complex number ?
Alright, 3 seems to be a complex number.
complex is a sum of both real+imaginary numbers
\[\rm a+bi\] where `a` is real number `bi` is pure imaginary ( imaginary part b) and the sum of both is complex \[\rm \color{Red}{a}+\color{blue}{bi} \]
assuming a,b ≠ 0
Alright, the number has both real and complex parts.
`real+imaginary =complex` the combination of real and imaginary number is complex number
oh i see select all that apply hmm they are asking about `3-719i` which is what number ?
complex
correct
What type of number would it be if a was imaginary and bi was a real number? @Nnesha
would it still be complex?
`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
a can't be imaginary if it's `ai` then you can say ai is imaginary
b are**
a+bi where a and b are integers
Alright, I understand now. The next question was just arranged differently from this one. It would still be complex.
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
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
Alright, let's see... For example: -240.1 <--- real parts.
There's no \[i\]
correct if there is no i then there is no imaginary part
oh my gosh, it just said incorrect.
Khan**
what ??
Khan labeled 'real' as incorrect. Its supposed to be real and complex :/
Never mind, I passed the topic :)
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
so for \[ -240.1 \] is same as \[\rm 0i-240.1\]
that what makes it real AND complex
one more example \[\rm 4i\] is this real complex or imaginary ?
Should be imaginary.
what if the statement says check all that apply ?
It would be: real complex. 4 is a real number and \[i\] is a imaginary that would equal a complex number.
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
would NOT**
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
more examples `real,imaginary,complex ?` \[\rm 3i+2\] pick two`real,imaginary, complex` \[5\] pick two`real,imaginary, complex` \[6.6i\]
1. complex 2. real and complex. 3. imaginary complex.
perfect
5 is same as 5+0i and 6.6i is same as 0+6.6i
is 0 + 0i real, imaginary, complex, or none of the above?
real complex
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