100+ Rational Numbers Examples | MS Word, PDF

We use numbers a lot in our everyday lives; these numbers come in the form of the car’s current speed expressed in Miles per hour, or even the temperature of your surroundings. The numbers that we use often come in the form of rational numbers, due to their practical nature.

What Are Rational Numbers

Rational numbers are numbers that can be expressed, denoted, and written down as whole numbers, fractions, and decimals. These numbers can be written down as square roots, as long as they result in a whole number. Square roots that result in infinite numbers are not considered rational numbers. This means not all numbers resulting from a square root are rational numbers. But the inverse is also true, indicating that not all numbers resulting from a square root are irrational numbers. If you want to check if the square root is a rational number then you must equate or solve the square root of a specific number.

How to Discern Rational Numbers

Rational numbers have plenty of everyday uses, due to their practical nature. This practical nature sets rational numbers apart from irrational numbers. If you are still confused about rational numbers then you may preview and read any of the rational numbers examples, samples, templates, and PDFs.

1.) Write Down the Number

Begin by writing down the number you want to distinguish. This will help you visualize all the numbers you will be working with. The more the numbers the easier it will be to discern them, if you write them down on a physical note or note-taking software.

2.) If it is a Fraction, Simplify the Fraction

If the number you are distinguishing or discerning is a fraction, you can simplify the fraction. Doing this will allow you to easily equate the fraction to a decimal or a whole number.

3.) If it is a Square Root, Simplify the Square Root

If the number is a square root, then you must simplify the square root to its most simple notation. Again just like the step above, it will help you equate the square root to a whole number.

4.) If Needed, Answer the Equation

After you have finished doing the necessary things you have to do, you can answer the equations needed to equate fractions and square roots to a whole number or decimal. For example, if you have written down 5/2 and √16 you can equate these numbers to 2.5 and 4 respectively. This will help you distinguish the given numbers as rational numbers since they don’t equate to infinite numbers.

Rational vs Irrational Numbers; what is the difference between rational and irrational numbers?

Rational numbers are numbers that can be expressed as whole numbers, fractions, and decimals. Whilst irrational numbers are numbers that can’t be expressed or denoted in fractions. Common examples of rational numbers are ½, 1,1.5, and √4, these numbers can be denoted and expressed as a fraction, a whole number, a decimal, and a possible square root respectively, some through the transverse property of rational numbers. Common examples of irrational numbers are √6, and 10/3, this is because both of these numbers can be expressed as infinite numbers that have no end.

Is pi (ℼ) a rational number?

No, pi is not a rational number, this is because when pi is expressed in notation it ends up being an infinite number. All numbers resulting from an infinite number are considered irrational numbers because they cannot be expressed in fractional form.

Can rational numbers be negative numbers?

Yes, all negative numbers are considered rational numbers. This is because all negative numbers can be expressed in fractional form, for example, -2 can be written as -2/1. This means that any negative number that does not result in an infinite number is considered a rational number.

Rational numbers are numbers that can be denoted as whole numbers, a fraction, and a decimal. These numbers have various uses in our everyday lives as most of the equations we deal with in our lives produce rational numbers. In conclusion, the concept of rational numbers can help us understand possible numbers that we can use in our everyday lives.