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Real numbers are compared by distance from zero

That means converting numbers to decimals to determine which number is greater and putting these decimals in order from least to greatest or ordering the corresponding real numbers. I posted a link as an example.

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Q: How can you compare two real numbers on the number line?
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A real number that is not rational?

Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.


Can rational numbers be placed on the number line?

well every integer fraction whole number natural number are rational number's surely rational numbers are represented on a number line and as rational numbers are the real numbers


In a short explanation what is the real number system?

Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. The Real Numbers did not have a name before Imaginary Numbers were thought of. They got called "Real" because they were not Imaginary.


Does every point on the real number line correspond to a rational number?

No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.


What are complex numbers?

A complex number is a number with a real and an imaginary part.Look at the links I will place below to find out moreA complex number is any number that can be represented as the sum of some number on the real number line and some number on the imaginary number line, a number line perpendicular to the real number line that contains multiples of sqrt(-1), which is more commonly denoted as i.