Question

1. # The Product Of Two Rational Number Is Always

We all know that the product of two rational numbers is always a rational number. But what does this actually mean? Is there something more to it than just common sense? In this blog post, we’ll take a closer look at why the product of two rational numbers is always a rational number and how this ties into mathematics and algebra. We’ll also explore various examples of problems involving the product of two rational numbers so you can get a better understanding of the concept. So let’s dive in!

## What are Rational Numbers?

Rational numbers are those that can be written as a ratio of two integers. For example, 3/4, 2/5 and -6/7 are all rational numbers. The product of two rational numbers is always a rational number.

This is because when you multiply two rational numbers together, you are effectively just multiplying the numerators and denominators separately. So, if you have 3/4 multiplied by 2/5, you would get 6/20. As long as both the numerator and denominator are integers, the result will be a rational number.

## The Product of Two Rational Numbers

When two rational numbers are multiplied together, the result is always a rational number. This is because the product of two rational numbers is simply the result of multiplying their numerators and denominators.

For example, if we multiply 2/3 by 4/5, we get 8/15. We can see this by multiplying the numerators (2 and 4) to get 8, and multiplying the denominators (3 and 5) to get 15. So the product of two rational numbers is always a rational number.

## Why the Product of Two Rational Numbers is Always a Rational Number

When two rational numbers are multiplied together, the result is always a rational number. This is because both rational numbers can be expressed as a fraction, and when two fractions are multiplied together, the result is always a fraction.

For example, if we multiply 1/2 by 3/4, we get 3/8. This is because 1/2 can be expressed as 2/4, and 3/4 can be expressed as 6/8. When we multiply these two fractions together, we get 12/32. We can then simplify this to 3/8 by dividing both the numerator and denominator by 4.

Similarly, if we multiply 2/3 by 4/5, we get 8/15. This is because 2/3 can be expressed as 8/12 and 4/5 can be expressed as 16/20. When we multiply these two fractions together, we get 128/240. We can then simplify this to 8//15 by dividing both the numerator and denominator by 16.

In general, when you multiply two rational numbers together, you will always get a rational number as a result.

## Examples

-The product of two rational numbers is always a rational number.
-For example, the product of 2/3 and 3/4 is 6/12.
-The product of 1 and 2/5 is 2/5.
-Therefore, the product of two rational numbers is always a rational number.

## Conclusion

We have seen that the product of two rational numbers is always a rational number. This fact is important to remember, as it can be used to prove many other mathematical facts about fractions and decimals. With this knowledge in mind, students should now be better able to understand topics such as linear equations, quadratic equations, and inequalities. Being aware of the properties of rational numbers can make math easier for all!

2. Have you ever wondered if the product of two rational numbers is always a rational number?

A rational number is any number that can be expressed as a fraction – a number over another number. For example, 2/3 is a rational number.

The product of two rational numbers is always a rational number. This means that if you multiply two numbers that can be expressed as fractions, the answer will always be a rational number.

Let’s look at an example. Say you want to calculate the product of 2/3 and 5/6:

2/3 × 5/6 = 10/18

This answer can be expressed as a fraction, so it is a rational number.

Now, let’s try a more complicated example:

(2/3) × (7/5) × (8/9) = 112/135

This answer can also be expressed as a fraction, so it is still a rational number.

As you can see, the product of two rational numbers is always a rational number.

This is an important concept to understand if you’re studying mathematics. Understanding this concept can help you to solve complex problems and make calculations much easier.

So, the next time you’re asked to calculate the product of two rational numbers, remember that the answer will always be a rational number!