Classifying Numbers As Rational And Irrational Problems

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#1 of 5: Medium

Classifying Numbers as Rational and Irrational

Identify whether the number is rational or irrational and why.`-sqrt{31}`<selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'>Reason:<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

Identify whether the number is rational or irrational and why.`15/14`<selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'>Reason:<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

Identify whether the number is rational or irrational and why.`-5/7`<selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'>Reason:<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

Identify whether the number is rational or irrational and why.`-sqrt{17}`<selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'>Reason: <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

Identify whether the number is rational or irrational and why.`-sqrt{81}`<selectivedisplay data-props='{"show_in_create":true,"show_in_problem_qa": true}'>Reason:<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 determine if a number is one or the other.

You can take help from our Introduction To Classify Numbers As Rational And Irrational Lesson Plan perfect for empowering your math students!

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Grade 8

Number System

8.NS.A.1