Last updated on June 25th, 2025
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about rational or irrational calculators.
A rational or irrational calculator is a tool to determine whether a given number is rational or irrational. Rational numbers can be expressed as a fraction of two integers, whereas irrational numbers cannot. This calculator makes the process of identifying the nature of numbers much easier and faster, saving time and effort.
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the number: Input the number into the given field.
Step 2: Click on identify: Click on the identify button to determine the nature of the number.
Step 3: View the result: The calculator will display whether the number is rational or irrational instantly.
To determine if a number is rational or irrational, the calculator checks if the number can be expressed as a fraction of two integers. If it can, the number is rational. If not, it is irrational. Common examples of irrational numbers include square roots of non-perfect squares and numbers like π and e.
When using a rational or irrational calculator, there are a few tips and tricks that we can use to make it easier and avoid mistakes:
Be familiar with common irrational numbers such as π and √2.
Remember that repeating or terminating decimals are rational.
Use the calculator to check complex expressions to simplify understanding.
We may think that when using a calculator, mistakes will not happen. But it is possible for children to make mistakes when using a calculator.
Is the number 7 rational or irrational?
7 is a rational number because it can be expressed as a fraction: 7/1.
Any integer can be expressed as a fraction of itself over 1, which makes it a rational number.
Is √17 rational or irrational?
√17 is irrational because 17 is not a perfect square, and its square root cannot be expressed as a fraction of integers.
Square roots of non-perfect squares are typically irrational because they cannot be simplified to a fraction.
Is 0.333... (repeating) rational or irrational?
0.333... is rational because it can be expressed as the fraction 1/3.
Repeating decimals can be converted into fractions, classifying them as rational numbers.
Is π rational or irrational?
π is irrational because it cannot be expressed as a fraction of two integers and its decimal representation is non-repeating and non-terminating.
π is a well-known example of an irrational number due to its non-repeating, non-terminating decimal expansion.
Is 2.75 rational or irrational?
2.75 is rational because it can be expressed as the fraction 11/4.
Terminating decimals are rational numbers as they can be written as fractions.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables