What are imaginary numbers and real numbers?

I'm finding it difficult to understand a real meaning.





The way I see it. real numbers are ordinary whole number but can be in the form of infinitely repeating decimals/sequences. real numbers are part of a larger repeating sequence.





imaginary numbers are the square root of negative numbers. but what else what a shallow understanding? anyone know?What are imaginary numbers and real numbers?
Real numbers include repeating decimals, also known as RATIOnal numbers - those which can be expressed as a ratio of integers. Real numbers also include non-repeating decimals, also known as irrational numbers - those which can't be expressed as a ration of integers.





In order to understand the physical significance of imaginary numbers, think about a number line, with marks for all the integers: -2, -1, 0, +1, +2, etc. Let's assume you start out at the +2 position.





If you want to get to -2, you can multiply by -1. Since 0 is the 'middle' of the number line, you can think of multiplying by -1 as doing a 180-degree rotation.





Now, if you multiply by -1 twice, that's like doing a 180-degree turn twice, which of course lands you back where you started. In other words, -1 squared is +1. Or, in math:


(-1)^2 = +1.





But now consider a theoretical number, which we shall call 'x'. This number has the property of corresponding to a 90-degree turn. That means multiplying by x twice (squaring x) brings you 180 degrees, which we know corresponds to -1. So, we have:


x^2 = -1


x = sqrt(-1)


x = i





Therefore, i (the imaginary unit) corresponds to a 90-degree turn. That is the physical meaning of imaginary numbers.What are imaginary numbers and real numbers?
Real numbers include the realm od both positives and negatives, rationals and irrationals.


Unreals, or imaginaries cannot be defined.


For instance, as you said the square roots of negatives, also anything divided by 0. If you draw a rectangular hyperbola, with the form y = c/x, where c is a constant, and non zero, then you will notice the graph never touches the x or y axis, since for y to be zero, c must be zero which it is not.


Also, logs of negative numbers are unreal, since no powers can produce negative numbers, as well as tan90 and 180, and inverse trigonometric values greater than 1.