A number can be both real and complex.

[holmes1172]

[FONT=&quot]Just double checking my answer here. If I am wrong, could someone please explain why?

"I am saying this is true. The reason why is because complex numbers are made up of real numbers and multiples of ‘I’. Thus 4=0i is equal provided they real parts are equal. Therefore a number can be both complex and real." [/FONT]

 

[Quaid]

Just double checking my answer here. If I am wrong, could someone please explain why?

"I am saying this is true. The reason why is because complex numbers are made up of real numbers and multiples of ‘I’.

Yes, it is true.

A shorter explanation is: "The set of Real numbers is a subset of the set of Complex numbers".

In other words, all Real numbers are Complex numbers.


The phrase in red above makes more sense to me, when I interpret it as a sum of.

It's more clear to say that Complex numbers have the form a + bi, where a and b are Real numbers and i^2 = -1

Then you can easily show that the condition b=0 leads to the set of Real numbers.

Thus 4=0i is equal provided they real parts are equal. Therefore a number can be both complex and real."

4 is never equal to 0i because 0i is the same as 0.

What are you trying to say, above?

Cheers :cool:

 

[holmes1172]

I think I had it in my head what I was trying to say, but it wasn't coming out the same way you explained it which is more to the point and more obvious (better) way of defining it. Just wanted to double check that I was in fact correct on that in case I wasn't! lol Thanks for your help!