Without all the mumbo jumbo, in a nutshell;
Computers store real number using an equation (sum) alot like scientific notation, except without the decimals, basically like this:
378 X 10 4
that 4 is suppose to be tiny, but im hoping y'all know what I mean. This is called floating point, not scientific notation.
the 378 bit would be called the exponent
and the 4 would be called Mantissa
or the other way around, im not sure. The bold words will be key words you'll probably need.
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real numbers
False. Irrational numbers are real numbers.
rational numbers and irrational numbers
Imaginary numbers are not a subset of the real numbers; imaginary means not real.
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.