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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 irrational numbers be placed on a number line?
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.
What is the boundary point of rational numbers?
The boundary of the set of rational numbers as a subset of the real line is the real line.
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 is Difference between rational numbers and integers?
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...
