Question

any one can explain me rational numbers and their properties with the example of class 8th​

Answer 1

Step-by-step explanation:

What are examples of rational numbers?

A rational number is any number which can be expressed as the quotient of two integers, i.e., a/b, where a and b are both integers and b≠ 0, whereas, an irrational number cannot be expressed as the quotient of two integers, e.g., π (pi) and √3 are two irrational numbers. Examples of rational numbers are: -2 = -2/1, -5 = -5/1, -14 = -14/1, 1/2, 2/3, 5/8, 3/4, 17/5, .6 = 6/10 = 3/5, .25 = 1/4, .33 = 33/100, 2¾ = 11/4, 3⅓ = 10/3, .7 = 7/10, .1111111 ... = 1/9, -1/2, -1/11, -5/6, -.9 = -9/10, -2¾ = -11/4, -3⅓ = -10/3, and -14/3, .1 = 1/10, .01 = 1/100, .57 = 57/100, -.333333 ... = -1/3.

The fraction 5/8, for example, is a rational number because it expresses the quotient of two integers: 5 and 8, and 8 is plainly not zero.

Also, the number √0.04 , for example, is a rational number because it expresses the quotient of two integers; We have:

√0.04 = √(4/100)

= √4/√100 by a property of radicals: √(a/b) = √a/√b, where a and b are real numbers such that a/b is greater than or equal to zero, and b does not equal zero.

= 2/10 which is the quotient of two integers: 2 and 10, and 10 is obviously not zero; consequently, the number √0.04 can fulfill the definition of a rational number and is, therefore, a rational number, not an irrational number.

The set of rational numbers is infinite in size. I hope that the numerous examples of rational numbers shown above is sufficient. If not, please let me know.