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The short answer to your question: yes.
This is one of the central axioms of math. If you'd like a bit more detail, try researching number theory.
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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.
Is a rational number a real number?
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
The product of rational number and its reciprocal?
Is '1' Any number multiplied with its reciprocal is equal to '1'
Are integers always sometimes or never rational numbers?
All integers are rational numbers, but not all rational numbers are integers.2/1 = 2 is an integer1/2 is not an integerRational numbers are sometimesintegers.
How will I find a number when the LCM is 252 and HCF is 14 and the first number is 28?
The product of the GCF and LCM of two numbers is equal to the product of the two numbers. The other number is 126.
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.
Is the product of two rational numbers is never equal to 1?
yes
Is the product of two rational numbers never equal to 1?
False.
What are rational numbers and how are they used?
A rational number is a number that can be written in the form a/b, where "a" and "b" are integers and b is not equal to zero. For example, whole numbers are rational numbers.
Is the product of an irrational number and a rational number always equal an irrational number?
Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.
Is it possible for the product of a whole number and an irrational number to equal a rational number?
No.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Does a rational number times an irrational number equal a rational number?
No. If the rational number is not zero, then such a product is irrational.
When are th absolute value and the opposites of a rational number equal?
When the numbers are negative
Can the product of 2 irrational numbers be a rational number?
Yes. For example, the square root of 2 times the square root of 2 is equal to 2.
Are whole numbers a rational number?
Yes. A rational number is one that you can write as a fraction a/b, with integers a and b (b not equal to zero). For a whole number, set b = 1. For example, 5 = 5/1, so it is a rational number.
Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
