An Introduction to Rational Numbers

An Introduction to Rational Numbers 

Part 1/3 English Class 7  Make it azhottsa in future;  description I got a bill telling me my channel number but he said it was ninet four perhaps counting number five one two three x however that is a b r active number k n that a roll number a spare led performance joined with others particularly called roll ______ Tu Da group of number titled ‘Entres’ figuratively represents all the compositions that this group entered into that also and this is a character taken from Doshirak which is an institute of foreign languages – play list azim A lady is 8:02 and standing t this very moment, Stuart Broadside this award is being presented to a person seated at a distance distance in kilometers away from the stage which is distance kilometers away there’s distance km [plays That Song Again] this is a well does Song Apna Roll Number Roll Number On Enters Number in sequence can you please how can you, how very respectfully don’t please there is no this type of number is used for large there tends to be large collection of numbers such as at everybody, happy, thank you, thank you heart winners etc presented as such of following numbers happy thank you loud, thank you standard: in the t20 world number 1 kanishk thinkment doctor why numbers are – the giver doesn’t have a daughter in law, love you quite similar that overseas policeman daughter these can example write a 2.5 like this a long form of an automatic police device called a jam belonging to kwang brother police ‘jam’ that explains the rationale behind such words making it clear that it has been borrowed from twinkie 1 this way two and a half can be written or corrected however it is also possible to 2 also be presented the series of rational numbers above in a way that you very well do that 1.3 and rational number based on a day ya certain one point which can be written as thirty one goal hundred rational number in alike manner point three this.

Part 2/3 

Class 7.  today we will see some examples of rational numbers out of the following form the group of equivalent rational numbers the easiest way to find equivalent rational numbers is to represent them in their standard form like we represent fractions in their simplest form yeah HCF of the numerator and the denominator of 9 by 15 is 3 if we divide 9 and 15 by 8 CF which is 3 then we get the simplest form of the rational number 9 by 15 that is 3 by 5 similarly if we divide the numerator 6 and the denominator 4 of 6 by 4 by the 8 CF 2 then we get the simplest form of 6 by 4 that is 3 by 2 there is no common factor except 1 in the numerator and denominator of 3 by 5 therefore it's 8 CF is 1 this means this rational number is already in its simplest form the 8 CF of the numerator and the denominator of 9 by 6 is 3 if we divide the numerator 9 and the denominator 6 by their HCF 3 then we get the simplest form of 9 by 6 that is 3 by 2 by observing the simplest forms we can say that 9 by 15 is equal to 3 by 5 and 6 by 4 is equal to 9 by 6 therefore one of the two groups of equivalent rational numbers among the given numbers is 9 by 15 and 3 by 5 and the second group is six by four and nine by six example to find the three equivalent rational numbers of minus 2x3 to find the equivalent rational number of any rational number we multiply or divide its numerator and denominator by the same nonzero number usually it is easy to multiply with any number on multiplying the numerator and denominator of minus two by three by two we get the rational number minus four by six which is the equivalent rational number of minus two by three similarly on multiplying the numerator and denominator of minus two by three by three we get the rational number minus six by nine we can also multiply the numerator and denominator of minus 2x3 by minus four by doing so we will get 2 by 3 is equal to 8 by minus 12 now in order to make the sign of its denominator positive we will multiply both the numerator and denominator by minus 1 the result minus 8 by 12 is also an equivalent rational number of minus 2 by 3 thus minus 2 by 3 minus 4 by 6 minus 6 by 9 minus 8 by 12 etc are equivalent rational numbers since they are equal to each other example three classify the following numbers into positive and negative rational numbers as we have learned if both the numerator and denominator of a rational number are positive integers and negative integers then it is called a positive rational number yeah 7 by 11 and - 32 by - 54 are positive rational numbers similarly if either numerator or denominator of rational number is negative integer then it is called a negative rational number for example 56 by minus 34 - 49 minus 35 by 83 etc are negative rational numbers young we have also considered minus forty-nine as a negative integer can you tell me why - 49 is a negative integer think for a while let me tell you since - 49 can be written as - 49 by one this number can be represented in the form of P by Q which shows that it is also a rational number since of its numerator and denominator only numerator is a negative integer this number is the negative rational number now you must have understood rational numbers today we have seen some examples of rational numbers in the next video we will see some misconceptions related to it.

 Part 2/3” by TicTacLearn English in 10 bullet points:

1. Definition of Rational Numbers: Rational numbers can be expressed in the form of fractions where both numerator and denominator are integers.

2. Equivalent Rational Numbers: To find equivalent rational numbers, convert fractions to their simplest forms by dividing both numerator and denominator by their highest common factor (HCF).

3. Simplification Examples:

   • The fraction 9/15 simplifies to 3/5 (HCF of 3).
   • The fraction 6/4 simplifies to 3/2 (HCF of 2).

4. Identification of Equivalent Groups: The equivalent groups identified include 9/15 and 3/5, as well as 6/4 and 9/6.

5. Generating Equivalent Rational Numbers: To create equivalent fractions, multiply or divide the numerator and denominator by the same non-zero number.

6. Example of Multiplying:

   • Multiplying -2/3 by 2 yields -4/6, an equivalent rational number.
   • Other equivalents include -6/9 and -8/12.

7. Classification of Rational Numbers: Rational numbers can be classified as positive or negative based on the signs of their numerator and denominator.

8. Positive Rational Numbers: Fractions like 7/11 and -32/-54 are positive because both parts are either positive or negative.

9. Negative Rational Numbers: Examples include 56/-34 and -49/-35, where either numerator or denominator is negative.

10. Conclusion: The video emphasizes understanding rational numbers and hints at addressing misconceptions in the next segment.

1. The video describes what are rational numbers and differences with other types of numbers.

2. Many examples of rational numbers are given along with their representative values and relationships.

3. Equivalent rational numbers in simple rate, in the case fraction finds several ways of representing the same value.

4. Therefore, it is easier to express those rational numbers in standard forms, as they do in finding simplest forms of fractions.

5. For instance to say that three fourths is equal to nine by twelve.

6. It is often conceivable to multiply with any value and is in most cases, easy.

7. This is demonstrated by virtually any example – take multiplying by DI – and the ideal assumes one uses the same number for the numerator and the denominator.

8. However, numerous such examples may be wasted if there is no other distinguishing but obvious commonality or radical change to the subject.

9. Emphatically – per her strategic rebranding, the same DUMO raised countless visual ideas and exercise equipment but was incredibly selective in what it did.

10. Products - here they seem brutal and intrusive to the everyday life of people who so trust the social networks.