Is 6 a rational number Is 6 a rational number Rational numbers are the numbers expressed as the ration of the two integers or in other words we can say that if a ratio of two integers are taken than that ratio can be termed as the rational numbers . The basic rational number is expressed in the form of ( p / q ) , where p and q are two integers . Lets us see some example of rational numbers : - 2 / 3 1 / 2 11 / 17 2 / 5 3 / 19 All the above examples are the examples of rational numbers. Is 6 a rational number or not? is the query that commonly come in our mind. Let us now take the example of number 6 .As 6 is an integer , it can be re – written as a ratio of two integers that is 6 / 1 12 / 2 18 / 3 24 / 4 Since 6 can be displayed as an ratio of two numbers or ratio of two integers , there for we can say that 6 is a RATIONAL NUMBER . So , we can say that YES 6 is an RATIONAL NUMBER at the end of above study. Know More About Operation Of Addition Worksheets

Tutorcircle.com

Page No. : 1/5

Introduction to Rational numbers Today, I will tell you a story. Once there was a family of Natural numbers where all counting numbers used to live. One day a guest named zero visited the house and requested for a permission to stay there. All were happy; they requested the eldest member of the family Mr. infinite (∞) to grant the permission for 0. The permission was granted and the name of the house was changed to house of Whole numbers. Now, after some time negative numbers also visited the house and requested for the permission to be the part of the family. They were permitted and now the family became the family of Integers i.e. -∞ . ……..-3,-2,-1,0,1,2,3,…….∞. On seeing the family living together, some numbers which were in form of p/q, where p and q are natural numbers also asked for a permission to stay there. They were called fractions. Some fractions are 4/7, 2/5 …etc. The family of fractions also told that if you all see the denominator with you, which is not usually visible, then you will also become the part of fractions family. All the numbers started trying it and realized that they all are the part of fractions. But this was not true for negative integers. The meeting was held, in which it was decided that a name Rational number will be given to the family. A family of Rational Numbers consists of all the numbers which can be expressed in form of p/q, where p and q are integers, but q≠ 0. Read More About Column Addition Worksheet

Tutorcircle.com

Page No. : 2/5

Note : When we represent a number as a numerator/ denominator then it is called as a rational number where both numerator and denominator are integers. And we all know that rational numbers are finite and terminated numbers means when we calculate the decimal value of rational number, it gives finite and repeating digits. So, it’s not possible that denominator of rational numbers are 0 because it produces infinite value which is against the rational number property like if we have numerator 5 and denominator 0 then it produces 5/0 = ……∞ And we all know infinity value is not coming under rational number property. Now we take different-different examples which define that: Rational numbers cannot have 0 as denominator. Example 1: Prove that 1/0 is not a rational number? Solution: When we calculate the decimal value of 1/0, then it produces 1/0 = ……∞ And we all know that rational number contains only finite and terminating values. So, 1/0 is not a rational number because it produces infinity value. Example 2: Prove that 7/0 is not a rational number? Solution: When we calculate the decimal value of 7/0, then it produces 7/0 = ……∞ And we all know that rational number contains only finite and terminating values. So, 7/0 is not a rational number because it produces infinity value.

Tutorcircle.com

Page No. : 2/3 Page No. : 3/5

Example 3: Prove that 11/0 is not a rational number? Solution: When we calculate the decimal value of 11/0, then it produces 11/0 = ……∞ And we all know that rational number contains only finite and terminating values. So, 11/0 is not a rational number because it produces infinity value. These are some examples which tell that rational numbers cannot accept denominator as a 0. So, we can say that Rational numbers cannot have 0 as denominator.

Tutorcircle.com

Page No. : 2/3 Page No. : 4/5

ThankÂ You

TutorCircle.com