rational and irrational
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
-- 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.
The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
No. sqrt(3) - sqrt(2) is irrational.
All natural numbers are rational numbers. No irrational numbers are natural numbers.
Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.
A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.