SOLUTION: I'm a little confused in identifying the difference between rational and irrational numbers?
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Question 938212: I'm a little confused in identifying the difference between rational and irrational numbers?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Rational number and irrational number are both real numbers.
Both are values which represent a certain quantity along a particular continuum.
Math and numbers is not everyone’s cup of tea, thus sometimes some people find it confusing to differentiate which one is rational and which one is an irrational number.
In brief:
• All integers are rational numbers; but it does not necessarily mean that all non-integers are irrational.
• Rational numbers can be expressed as both fraction and decimal
• irrational numbers can be expressed as decimal but not in fraction form.
here is little bit more about them:
Rational Number
A rational number is actually any number which can be expressed as a fraction of two integers x/y where y or the denominator is not zero. Because the denominator can be equal to one, we can conclude that all integers is a rational number. The word rational was originally derived from the word ratio because again they can be expressed as ratio x/y given that both are integers.
Irrational Number
Irrational numbers as what its name may imply are those numbers that are not rational. You cannot write these numbers in fraction form; although you can write it in decimal form. Irrational numbers are those real numbers which are not rational. Examples of irrational numbers include the following: the and the because you cannot express all these numbers in form.
Difference between irrational and irrational numbers:
Here are some differences that one should learn about rational and irrational numbers.
First, rational numbers are numbers which we can write as fraction; those numbers that we cannot express as fractions are called , just like .
The number is a rational number, but is not. One can definitely say that are , but one that all are . As stated above, rational numbers can be written as or as .
numbers be written as but .
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