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Why do you need a extenstion of rational numbers?

Anonymous

∙ 11y ago

Updated: 8/20/2019

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.

Wiki User

∙ 8y ago

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Related Questions

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.

Are all rational numbers whole numbers?

All rational numbers are not whole numbers, as rational numbers can include fractions.

How do rational numbers equal rational decisions?

They do not. There is no relationship between rational numbers and rational decisions.

What rational numbers are real numbers?

All rational numbers are real numbers.

Why are venn diagrams used?

A.(Integers) (Rational numbers)B.(Rational numbers) (Integers)C.(Integers) (Rational numbers)D.(Rational numbers) (Real numbers)

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.

How do you insert rational numbers between two rational numbers?

Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.

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