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.
Yes. In fact, a number line would be full of an uncountably many infinite number of discontinuities (holes) without them and hence would not be a line, so in fact irrational numbers MUST be placed on the number line in order for it to exist.
The boundary of the set of rational numbers as a subset of the real line is the real line.
Integers are WHOLE numbers, like 3, 18, 34, and 256. Rational numbers are any numbers which can be expressed as a ratio of two integers - 3/4 is a rational number. 124.45 is a rational number. In other words, rational numbers INCLUDE all integers. Fractions are Rational numbers.The natural number line starts at 1, and goes up by 1 each time. 1, 2, 3, 4, 5...The whole number line includes the natural, but starts at 0. 0, 1, 2, 3, 4, 5...The integer number line includes the whole number line, but adds its negative counterparts. ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...The rational number line includes the integernumber line, but includes fractions (where the numerator is an integer and denominator is a non-zero integer.) ...-1, -1/2, 0, 1/2, 1...
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.
The number line includes all rational numbers but also has irrational ones. It is the REAL number line. The square root of non-perfect squares are on it and pi is also on it and they are not rational.
above 0
Yes.
Real numbers can be rational or irrational because they both form the number line.
because the # line shows the rational #'s in order from least to greatest
No. The real number line corresponds to rational AND irrational numbers.
The Density Property states that, between two rational numbers on a number line there is another rational number. Mark some fractions on a number line. No matter how dense the number line is, there still is another number between the two numbers.
That would be the real numbers.
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.
Yes, because it can be located on a number line.
They are two points representing rational numbers.
Yes,a rational number can be on a number line :D