Classify Rational And Irrational Numbers Worksheet

Algebra 1
Algebra Foundations

Total questions - 0

Assignment will be available soon.
Do you want to see how your students perform in this assignment?

How Will This Worksheet on "Classify Rational and Irrational Numbers" Benefit Your Students' Learning?

  • Understand real numbers classifications.
  • Helps to convert fractions to decimals quickly.
  • Able to compare rational and irrational numbers.
  • Improve number sorting skills.
  • Practice with a diverse number of examples.
  • Gain confidence in number identification.

How to Classify Rational and Irrational Numbers?

  • Simplify the given expression.
  • Determine if the simplest form is a fraction or a non-repeating, non-terminating decimal.
  • Classify the expression as rational if it is a fraction or repeating decimal.
  • Classify the expression as irrational if it is a non-repeating, non-terminating decimal.

Solved Example

Q. Classify the following numbers as either rational or irrational:\newline78,16,π \frac{7}{8}, \sqrt{16}, \pi
Solution:
  1. Check Rationality of 78\frac{7}{8}:\newline Check if 78\frac{7}{8} is rational or irrational.\newline78\frac{7}{8} is a fraction of two integers. So, it is a rational number.
  2. Check Rationality of 16\sqrt{16}:\newline Check if 16\sqrt{16} is rational or irrational.\newline16=4\sqrt{16} = 4 because 42=164^2 = 16.\newline16\sqrt{16} has a perfect square, so it is a rational number.
  3. Check Rationality of π\pi:\newline Check if π\pi is rational or irrational.\newlineπ\pi is a non-repeating, non-terminating decimal. So, it is an irrational number.
50,000+ teachers over use Byte!

Create your unique worksheets

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconTrack your student’s performance
  • star-iconIdentify and fill knowledge gaps
Create your worksheet now

About Worksheet

Algebra 1
Algebra Foundations

Classifying rational and irrational numbers refers to sorting the real numbers as rational and irrational numbers. Rational numbers are real numbers that can be written as a fraction. Irrational numbers are real numbers that cannot be written as a fraction. In these worksheet, students will determine if a number is rational or irrational using rational form. Classify rational and irrational numbers with examples, `25/4` is a rational number whereas `sqrt2` is an irrational number.

50,000+ teachers over the world use Byte!

Digitally assign and customise your worksheet using AI

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconSee how your class performs
  • star-iconIdentify and fill knowledge gaps
Create your own assignment!

Class Performances tracking