Classifying Real Numbers Boom Cards™ Digital Activity

Grade Levels
7th - 9th
Resource Type
Formats Included
  • PDF
  • Internet Activities
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Compatible with Digital Devices
The Teacher-Author has indicated that this resource can be used for device-based learning.


This 45-card deck of self-checking, digital task cards is a fun way to help your math students practice classifying real numbers! Students are shown one question at a time and LOVE getting instant feedback as they classify whole numbers, integers, rational numbers, and irrational numbers.

*You may also be interested in my Classifying Rational Numbers activity which does not include irrational numbers.

Boom Cards™ are great for in-class or distance learning and are graded automatically! Check out the preview to try the first 4 cards and see how they work. Make sure to click on the full-size preview and hit submit to see if your answer is correct.

Classifying real numbers can be a tricky concept for students, so I broke the activity down into the sections described below. My goal by going in this order is to help students understand each type of number separately before looking at the hierarchy of real numbers using the graphic organizer. You can hide any cards you don't want students to see when you assign the cards to your students.

Cards 1-4: Natural Numbers (definition, yes/no questions, multiple-choice identifying which numbers are natural)

Cards 5-11: Whole Numbers (similar questions as above)

Cards 12-17: Integers

Cards 18-24: Rational Numbers

Cards 25-29: Irrational Numbers

Cards 30-45: Using Graphic Organizer to sort and classify Natural, Whole, Integers, Rational, and Irrational. Variety of true/false, always true/sometimes true/never true, multiple-choice questions to help students understand the hierarchy of real numbers.

Boom Cards work on just about any device that can access the internet. They're self-checking and you can even track student progress through Boom Learning℠! You can assign Boom Cards (with Google Classroom, Moodle, etc.) to individual students, groups of students, or use with a projector for the whole class. Check out the preview to test out the first few cards! Open the full-size preview and hit submit to get instant feedback on your answer. You can also click on the links in the preview if you have questions about Boom Cards or getting started with Boom Learning.

You may also be interested in:

Classifying Rational Numbers Boom Cards

Square Roots and Perfect Squares Digital Activity

Converting Percents, Decimals, and Fractions Activity for Google

© 2021 Kate's Math Lessons. All rights reserved. This purchase is for one teacher only. This resource is not to be shared without purchasing the proper number of licenses.

Additional Info from Boom Learning:

"To use Boom Cards, you must be connected to the Internet. Boom Cards play on modern browsers (Chrome, Safari, Firefox, and Edge). Apps are available for Android, iPads, iPhones, and Kindle Fires. For security and privacy, adults must have a Boom Learning account to use and assign Boom Cards. You will be able to assign the Boom Cards you are buying with "Fast Pins," (play provides instant feedback for self-grading Boom Cards). Fast Play is always a free way for students to engage with Boom Cards decks. For additional assignment options you'll need a premium account. If you are new to Boom Learning, you will be offered a free trial of our premium account. Read here for details:"

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to see state-specific standards (only available in the US).
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.


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