# Classifying Numbers As Rational And Irrational Problems

5 questions

### #1 of 5:Medium

Classifying Numbers as Rational and Irrational

<p>Identify whether the number is rational or irrational and why.</p><p>`-sqrt{31}`</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'><p>Reason:</p><ul><li> It is an integer</li><li> It is a fraction of two integers</li><li> It is a terminating decimal</li><li> It is a non-terminating decimal that repeats</li><li> It is a square root of a non-perfect square</li><li> It is a square root of a perfect square</li><li> It has a non-terminating decimal expansion that does not repeat</li></ul></selectivedisplay>

### #2 of 5:Mild

Classifying Numbers as Rational and Irrational

<p>Identify whether the number is rational or irrational and why.</p><p>`15/14`</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'><p>Reason:</p><ul><li> It is an integer</li><li> It is a fraction of two integers</li><li> It is a terminating decimal</li><li> It is a non-terminating decimal that repeats</li><li> It is a square root of a non-perfect square</li><li> It is a square root of a perfect square</li><li> It has a non-terminating decimal expansion that does not repeat</li></ul></selectivedisplay>

### #3 of 5:Mild

Classifying Numbers as Rational and Irrational

<p>Identify whether the number is rational or irrational and why.</p><p>`-5/7`</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'><p>Reason:</p><ul><li> It is an integer</li><li> It is a fraction of two integers</li><li> It is a terminating decimal</li><li> It is a non-terminating decimal that repeats</li><li> It is a square root of a non-perfect square</li><li> It is a square root of a perfect square</li><li> It has a non-terminating decimal expansion that does not repeat</li></ul></selectivedisplay>

### #4 of 5:Medium

Classifying Numbers as Rational and Irrational

<p>Identify whether the number is rational or irrational and why.</p><p>`-sqrt{17}`</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'><p>Reason:</p> <ul> <li> It is an integer</li> <li> It is a fraction of two integers</li> <li> It is a terminating decimal</li> <li> It is a non-terminating decimal that repeats</li> <li> It is a square root of a non-perfect square</li> <li> It is a square root of a perfect square</li> <li> It has a non-terminating decimal expansion that does not repeat</li></ul></selectivedisplay>

### #5 of 5:Medium

Classifying Numbers as Rational and Irrational

<p>Identify whether the number is rational or irrational and why.</p><p>`-sqrt{81}`</p><selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'><p>Reason:</p><ul><li> It is an integer</li><li> It is a fraction of two integers</li><li> It is a terminating decimal</li><li> It is a non-terminating decimal that repeats</li><li> It is a square root of a non-perfect square</li><li> It is a square root of a perfect square</li><li> It has a non-terminating decimal expansion that does not repeat</li></ul></selectivedisplay>

In this exercise, students will practice classifying numbers as rational or irrational. They will be given a list of numbers and asked to determine if each number is rational or irrational. This activity will help students understand the difference between rational and irrational numbers and how to deter...

Show all
Number System
8.NS.A.1

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”