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Why is the product of any two rational numbers a rational number?
Rational numbers are represented in the form of p/q , where p is an integer and q is not equal to 0.Every natural number, whole number and integer can be represented as rational number.For example take the case of integer -3, it can be represented in the form of p/q as -3/1 and q is not equal to zero, which means that rational numbers consist of counting numbers, whole numbers and integers.Now, what will be the result of product of any two rational numbers?Let us take the case of two rational numbers which are x/y & w/z, their product is equal toxw/yz, which is a rational number because multiplication of x and w results in an integer and also multiplication of y and z results in an integer which satisfies the property of rational numbers, which is in the form of p/q.So, product of any two rational numbers is a rational number.
Why are all the perfect squares are rational number?
A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.
The difference of two rational numbers is always a rational number?
Yes, that's true.
What number is a real number and a rational number but not an integer?
Any fraction that does not equal to a whole number is real and rational, but not an integer. 1/5 is rational because it is represented by the division of two integers, but it is not itself an integer, which are natural numbers such as 1, 2, and 3.
How do you insert rational numbers between two rational numbers?
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
