properties of irrational numbers
The Real numbers
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
No. If it was a rational number, then it wouldn't be an irrational number.
0.151515(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Four examples of irrational numbers are 21/2, 31/2, 51/2 & 71/3
4/5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The given four numbers are all rational numbers
It is {sqrt(2), sqrt(3.7), pi, and e}.
They are irrational numbers!
They are numbers that are infinite
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
properties of irrational numbers
Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.
No. Irrational numbers are real numbers, therefore it is not imaginary.
Yes, no irrational numbers are whole numbers.
Not necessarily. The sum of two irrational numbers can be rational or irrational.