This is not the document you are looking for? Use the search form below to find more!

Report home > Education

Definition Of Rational Numbers

0.00 (0 votes)
Document Description
In this unit we are going to learn about Definition of Rational Number. Rational numbers are the series of numbers which are infinite and endless. They can not be counted. They contain all the numbers which are either natural numbers, Whole numbers, Integers or even the fractions. All Rational numbers which can be grouped up under the set which defines as follows: The numbers which can be expressed in the form of p / q, where p and q both are integers and q is not equal to zero. Rational numbers can be all natural numbers which start from 1, 2, 3, 4 ... .... And goes up to infinite. Rational numbers also have a set of Whole numbers 0, 1, 2, ........ up to infinite and the set of all integers which extend from negative infinite to positive infinite. It looks strange that these numbers are not in the form of p/q, but we must remember that all numbers n can be written as n / 1.
File Details
  • Added: May, 22nd 2012
  • Reads: 207
  • Downloads: 0
  • File size: 260.68kb
  • Pages: 4
  • Tags: definition of rational numbers, word problems rational expressions, rational expressions applications
  • content preview
Submitter
Embed Code:

Add New Comment




Related Documents

Definition of Rational Numbers

by: math_edutireteam, 3 pages

In mathematics, a Rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since q may be equal to 1, every ...

Definition Of Rational Numbers

by: tutorciecle123, 4 pages

In this unit we are going to learn about Definition of Rational Number. Rational numbers are the series of numbers which are infinite and endless. They can not be counted. They contain all the ...

The set of Rational Numbers is Countable

by: nishagoyal, 3 pages

First question arises that what are countable sets. A set is called a finite set when the number of elements in the set is countable and the set is called infinite set when the number of elements is ...

List Of Rational Numbers

by: nishagoyal, 3 pages

List Of Rational Numbers In terms of mathematics, we can define rational number as the ratio of two integer numbers in the form of a / b such that b is not equal to the zero. Means a and b both are ...

Types of Rational Numbers

by: nishagoyal, 3 pages

A rational number is defined as a fraction with an integer numerator and a non- zero natural number denominator which is given p / q, where p is any integer and q is any non-zero natural number. We ...

Properties of Rational Numbers

by: nishagoyal, 4 pages

Properties of Rational Numbers The rational numbers are closed under addition, subtraction, multiplication and division by nonzero rational numbers. The properties are called closure properties of ...

Properties of Rational Numbers

by: nishagoyal, 4 pages

The rational numbers are closed under addition, subtraction, multiplication and division by nonzero rational numbers. The properties are called closure properties of rational numbers. If 'm' and 'n' ...

Properties of Rational Numbers

by: nishagoyal, 4 pages

The rational numbers are closed under addition, subtraction, multiplication and division by nonzero rational numbers. The properties are called closure properties of rational numbers. If 'm' and 'n' ...

List Of Rational Numbers

by: nishagoyal, 4 pages

In terms of mathematics, we can define rational number as the ratio of two integer numbers in the form of a / b such that b is not equal to the zero. Means a and b both are integer number and the ...

Properties Of Rational Numbers

by: nishagoyal, 4 pages

The Rational Numbers are closed under addition, subtraction, multiplication and division by nonzero rational numbers. The properties are called closure properties of rational numbers. If 'm' and 'n' ...

Content Preview
Definition Of Rational Numbers
Definition Of Rational Numbers
In this unit we are going to learn about Definition of Rational Number. Rational numbers are
the series of numbers which are infinite and endless.
They can not be counted. They contain all the numbers which are either natural numbers,
Whole numbers, Integers or even the fractions.
All Rational numbers which can be grouped up under the set which defines as follows: The
numbers which can be expressed in the form of p / q, where p and q both are integers and q
is not equal to zero.
Rational numbers can be al natural numbers which start from 1, 2, 3, 4 ... .... And goes up to
infinite.
Rational numbers also have a set of Whole numbers 0, 1, 2, ........ up to infinite and the set of
al integers which extend from negative infinite to positive infinite.
It looks strange that these numbers are not in the form of p/q, but we must remember that al
numbers n can be written as n / 1.
KnowMoreAboutWordProblemsRationalExpressions


Tutorcircle.com
PageNo.:1/4

Thus we observe that these numbers are written in form of p / q , so they are rational
numbers. Moreover these numbers also consist of fractions.
All mathematical operators can be performed on the rational numbers namely addition,
subtraction, multiplication and division.
Besides this logical operators can be performed on the set of rational numbers. It means that
rational numbers can be compared and they can also be arranged in ascending or
descending order.
Lets see how the comparison of rational numbers can be done: If the two rational numbers are
given such that one is positive and another negative, then a positive number is always greater
than the negative number.
Also we must remember that negative numbers are less than 0 and the positive numbers are
always greater than zero.
To compare the two positive or two negative rational numbers, we should first try to make the
denominators same. Then the comparison of the numerators is done
Similarly when we have to add or subtract the rational numbers we again proceed in the same
pattern. We make the denominators of the rational numbers same and then perform the
mathematical operation as directed.
E.g.: Compare 2/3 and 5/2
Take the l.c.m of 3 and 2 as 6,, now we make the denominators of 2/3 and 5/2 as 6
We get 4/6 and 15/6 . Now in the two rational numbers we have 15 > 4 so 15/6 > 4/6
Solve 2/3 + 5/2
ReadMoreAboutRationalExpressionsApplications


Tutorcircle.com
PageNo.:2/4

Take the l.c.m of 3 and 2 as 6,, now we make the denominators of 2/3 and 5/2 as 6
We get 4/6 and 15/6 so above values can be written as
= ( 4/6 ) + ( 15/6 )
= 19/6
Similarly subtraction operation can also be performed on the rational numbers.
If we need to find the product of 2 rational numbers, then we simply multiply the numerators
with the numerator and the denominator with the denominator. Eg: (2/5) * (3/7)
= ( 2 * 3 ) / ( 5*7 ) = 6 / 35 Ans


Tut
Tu o
t rc
r i
c rc
r l
c e
l .
e c
. o
c m
Pa
P ge
g
e No
N ..::2/
3 3
/4

ThankYou
TutorCircle.com



Document Outline

  • ﾿

Download
Definition Of Rational Numbers

 

 

Your download will begin in a moment.
If it doesn't, click here to try again.

Share Definition Of Rational Numbers to:

Insert your wordpress URL:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Definition Of Rational Numbers as:

From:

To:

Share Definition Of Rational Numbers.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

loading

Share Definition Of Rational Numbers as:

Copy html code above and paste to your web page.

loading