You need an extension because rational numbers are a tiny subset of all real numbers. There are transcendental numbers such as pi and e which are key to geometry and calculus (respectively), the Golden ratio, as well as all the non-rational roots 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.
All rational numbers are not whole numbers, as rational numbers can include fractions.
They do not. There is no relationship between rational numbers and rational decisions.
All rational numbers are real numbers.
A.(Integers) (Rational numbers)B.(Rational numbers) (Integers)C.(Integers) (Rational numbers)D.(Rational numbers) (Real numbers)
First of all counting numbers (positive integers) are rational numbers so without rational numbers there would be no counting. You could not equitably share one item between two or more people without fractions (rational numbers). Everything does not come in whole numbers - there are times when you need half-a-day, or 2.5 teaspoons, etc.
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.