Probably the ancient Egyptians who discovered that the diagonal of a unit square was not a rational number. And then discovered other such numbers.
All rational numbers are real 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 sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.
All prime numbers are rational.
He discovered rational numbers
No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.
They were known to the ancient civilisations. Irrational numbers are supposed to have been discovered by Hippassus of Metapontum, a member of the Pythagorean school in ancient Greece (5th Century BC).
They developed when people discovered the need to divide things into equal parts.
Probably the ancient Egyptians who discovered that the diagonal of a unit square was not a rational number. And then discovered other such numbers.
There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.
If there are no numbers after the 9 it is rational
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.
6.6 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.