answersLogoWhite

0


Best Answer

By definition, the two sets do not overlap. This is because the irrationals are defined as the set of real numbers that are not members of the rationals.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does the set of rational number overlap the set of irrational numbers why?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


Are rational numbers is an irrational numbers?

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.


The rational numbers are a subset of the irrational numbers?

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.


List of rational and irrational 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.


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


Is -6.3 rational or irrational?

-6.3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


What is the Next to rational and irrational number?

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).


What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is the number -6.7 a rational or irrational number?

Rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Can a number be a member of the set of rational numbers in the set of irrational numbers?

No, a number is either rational or irrational


Are there numbers that are both rational and irrational?

No, no number can be both rational and irrational.


Are there more rational numbers than irrational numbers true or false?

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.