How to Identify Rational and Irrational Numbers?
In this blog post, we teach you the definition of rational and irrational numbers and how to identify them.
[include_netrun_products_block from-products="product/6-south-carolina-sc-ready-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
Related Topics
A step-by-step guide to rational and irrational numbers
Different types of numbers depend on their properties. For example, rational and irrational numbers are as follows:
Rational numbers
A rational number is a number in the form \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q\) is not equal to \(0\). The set of rational numbers is denoted by \(Q\).
How to identify rational numbers?
Rational numbers can be easily identified with the help of the following properties.
- All integers, whole numbers, natural numbers, and fractions with integers are rational numbers.
- If the decimal form of the number is terminating or repeating, such as \(5.6\) or \(3.151515\), we know that they are rational numbers.
- If the decimal numbers seem never-ending or non-repeating, they are called irrational numbers.
- Another way to identify rational numbers is to see if the number can be expressed as \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\) is not equal to \(0\).
Irrational numbers
Irrational numbers are the set of real numbers that cannot be expressed as fractions, \(\frac{p}{q}\) where \(p\) and \(q\) are integers. The denominator \(q\) is not equal to zero \((q≠0)\). The set of irrational numbers is represented by \(Q´\).
How to identify an irrational number?
We know that irrational numbers are just real numbers that cannot be expressed as \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q≠0\). For example, \(\sqrt{5}\) and \(\sqrt{3}\), etc. are irrational numbers. On the other hand, numbers that can be represented as \(\frac{p}{q}\), such that \(p\) and \(q\) are integers and \(q≠0\), are rational numbers.
Rational and Irrational Numbers–Example 1
Determine the rational numbers among the following. \(\sqrt{16},\:\sqrt{3},\:-\frac{4}{5},\:\pi,\:2.3137134623730860…..\)
Solution: \(\sqrt{16},-\frac{4}{5}\) are rational numbers.
Related to This Article
More math articles
- Full-Length 6th Grade ACT Aspire Math Practice Test-Answers and Explanations
- Overview of the ISEE Lower Level Mathematics Test
- Balancing Math Assignments and Academic Papers: Tips for Busy Students
- What Kind of Math Is on the Computer Science?
- How to Graph Inequality: Using Number Lines to Graph Inequalities
- How to Multiply Mixed Numbers? (+FREE Worksheet!)
- How to Graph Absolute Value Function?
- Geometry Puzzle – Challenge 61
- Intelligent Math Puzzle – Challenge 93
- FREE 6th Grade ACT Aspire Math Practice Test
What people say about "How to Identify Rational and Irrational Numbers? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.