Ordering Real Numbers Activity (Rational and Irrational)

What others say

"Love this activity! Great hands on resource! Just what I was looking for as a supplement to the study of Real numbers."

Gloria L.

"This activity is a solid way to help students practice placing rational and irrational numbers in order. It includes a mix of decimals, fractions, and square roots, which challenges students to think critically about number values."

Lily C.

Description

This activity will strengthen students’ skills at comparing and ordering Rational & Irrational numbers. There are 3 number sets that include 5 different numbers and 2 number sets that include 7 different numbers for a total of 29 cards to be compared and ordered.

Need a version without irrational numbers? -> Ordering Rational Numbers Activity

Important Information

This activity is easy for the teacher to check due to each card having a corresponding letter.
The numbers sets include both rational and irrational numbers:
- Decimals
- Repeating Decimals
- Fractions
- Irrational Numbers
- Pi and Fractions Containing Pi

Please view the preview for a picture of the completed activity and to view all types of numbers included in this activity.

Related Resources

o Click Here for more Real Number System activities

o Click Here for more Test Prep activities

This activity is also part of the following money saving bundles:

Real Number System Activity Bundle

8th Grade Math Bundle ~ All My 8th Grade Math Products for 1 Low Price

Find the resource you need quickly & easily....

Download the FREE Amazing Mathematics Resource Catalog Today!

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©Copyright Amazing Mathematics LLC

This product is to be used by the original purchaser only.

This product can NOT be uploaded to the internet by the purchaser.

Doing so is a violation of the copyright of this product.

Copying for more than one teacher, or for an entire department, school,

or school system is prohibited.

This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites.

The unauthorized reproduction or distribution of a copyrighted work is illegal.

Criminal copyright infringement, including infringement without monetary gain, is investigated by the FBI and is punishable by fines and federal imprisonment.

Report this resource to TPT

Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Ordering Real Numbers Activity (Rational and Irrational)

Name: Ordering Real Numbers Activity (Rational and Irrational)
Brand: Amazing Mathematics
SKU: 2155653
Price: 2.00 USD
Availability: InStock
Rating: 4.89 (207 reviews)

Amazing Mathematics

9.9k Followers

$2.00

Highlights

Digital downloads

PDF

Grades

7th - 9th

Subjects

Algebra, Math, Math Test Prep

Standards

CCSS8.NS.A.1

CCSS8.NS.A.2

What others say

"Love this activity! Great hands on resource! Just what I was looking for as a supplement to the study of Real numbers."

Gloria L.

Lily C.

Save even more with bundles

8th Grade Math Bundle ~ All My 8th Grade Math Products at 1 Low Price

This bundle includes all the notes, worksheets, & activities in my store that pertain to 8th Grade Mathematics.Does this Include Digital Resources?As of June 2024 over 80% of this bundle includes a digital Google Slides or Forms option.Please view the preview to view the content list & which

Price $115.00Original Price $222.50Save $107.50

The Real Number System - Activity Bundle

With this bundle you get my 5 Rational & Irrational Numbers Activities. Save money by buying the bundle and be prepared for an entire unit of engaging activities!Two Download Options Included with Purchase 1) Download each resource individually 2) Download all resources at once to a zipped folde

Price $8.75Original Price $12.50Save $3.75

Description

Need a version without irrational numbers? -> Ordering Rational Numbers Activity

Important Information

This activity is easy for the teacher to check due to each card having a corresponding letter.
The numbers sets include both rational and irrational numbers:
- Decimals
- Repeating Decimals
- Fractions
- Irrational Numbers
- Pi and Fractions Containing Pi

Please view the preview for a picture of the completed activity and to view all types of numbers included in this activity.

Related Resources

o Click Here for more Real Number System activities

o Click Here for more Test Prep activities

This activity is also part of the following money saving bundles:

Real Number System Activity Bundle

8th Grade Math Bundle ~ All My 8th Grade Math Products for 1 Low Price

Find the resource you need quickly & easily....

Download the FREE Amazing Mathematics Resource Catalog Today!

-------------------------------------------------------------------------------------------------------

Sign up for my Secondary Math Newsletter

to receive a Free Pi-Rate Plotting Points picture.

-------------------------------------------------------------------------------------------------------

©Copyright Amazing Mathematics LLC

This product is to be used by the original purchaser only.

This product can NOT be uploaded to the internet by the purchaser.

Doing so is a violation of the copyright of this product.

Copying for more than one teacher, or for an entire department, school,

or school system is prohibited.

This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites.

The unauthorized reproduction or distribution of a copyrighted work is illegal.

Criminal copyright infringement, including infringement without monetary gain, is investigated by the FBI and is punishable by fines and federal imprisonment.

Report this resource to TPT

Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

4.9

Rated 4.89 out of 5, based on 207 reviews

207
ratings

187

Mostly used with 8th grade

Reviews

6th

7th

8th

9th

All verified TPT purchases

Ordering real numbers cut and paste

Rated 5 out of 5

May 11, 2026

Met expectations

Great value

Standards-aligned

Love this activity! Great hands on resource! Just what I was looking for as a supplement to the study of Real numbers.

Gloria L.

85 reviews • Texas

Grades taught: 8th

Student populations: Autism, Emerging bilinguals, Learning difficulties, Mild to severe disabilities

Rated 5 out of 5

May 20, 2025

This activity is a solid way to help students practice placing rational and irrational numbers in order. It includes a mix of decimals, fractions, and square roots, which challenges students to think critically about number values.

Lily Cao

(TPT Seller)

42 reviews

Grades taught: 9th

Rated 5 out of 5

May 14, 2025

An excellent math resource that keeps students engaged and encourages creative thinking as they work

Sara D.

286 reviews

Grades taught: 6th, 7th

Student populations: Learning difficulties

Rated 5 out of 5

April 16, 2025

This went really well in my classroom! Thank you for a great product!

Sunshine & Syllabi

(TPT Seller)

7 reviews

Grades taught: 8th

Rated 5 out of 5

October 28, 2024

This was great extra practice for my students before testing. I used this as a review activity.

brandi H.

173 reviews

Grades taught: 8th

Student populations: Learning difficulties

Rated 5 out of 5

October 28, 2024

This was great to use as a review in my 7th grade accelerated class.

Chase Connolly

(TPT Seller)

357 reviews

Grades taught: 7th

Rated 5 out of 5

September 10, 2024

Perfect activity to include in math centers or as a supplemental hands-on activity to enforce the lesson

MathWithMs.N

(TPT Seller)

68 reviews

Grades taught: 7th

Student populations: Autism, Learning difficulties, Mild to severe disabilities

Rated 5 out of 5

August 31, 2024

A fun and engaging way for students to practice the concept. They had a lot of fun.

Christine M.

427 reviews

Grades taught: 8th

Questions & Answers

Standards

to see state-specific standards (only available in the US).

CCSS8.NS.A.1

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.

CCSS8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.