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It is to allow division (by a non-zero integer) over the set of all integers.
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∙ 7y ago
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Why do you need a extenstion of rational numbers?
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.
How many rational numbers are there between two consecutive rational numbers?
There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.
Is 3.9 rational or irrational?
If there are no numbers after the 9 it is rational
Are some rational numbers are not real numbers?
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.
Are rational numbers whole numbers?
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.
Is the difference of rational numbers a rational number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.
Is 6.6 irrational or rational?
6.6 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Are natural numbers the same of rational numbers?
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.
Why rational numbers were required?
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.
Are all rational numbers whole numbers?
All rational numbers are not whole numbers, as rational numbers can include fractions.
Is -14 a rational or irrational number?
14 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
Is 0.77777 a irrational number?
No because if need be it can be expressed as a fraction and so therefore it is a rational number
