# Classify Rational And Irrational Numbers Worksheet

Assignment will be available soon

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.

Algebra 1
Algebra Foundations

## 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:$\newline$$\frac{7}{8}, \sqrt{16}, \pi$
Solution:
1. Check Rationality of $\frac{7}{8}$:$\newline$ Check if $\frac{7}{8}$ is rational or irrational.$\newline$$\frac{7}{8}$ is a fraction of two integers. So, it is a rational number.
2. Check Rationality of $\sqrt{16}$:$\newline$ Check if $\sqrt{16}$ is rational or irrational.$\newline$$\sqrt{16} = 4$ because $4^2 = 16$.$\newline$$\sqrt{16}$ has a perfect square, so it is a rational number.
3. Check Rationality of $\pi$:$\newline$ Check if $\pi$ is rational or irrational.$\newline$$\pi$ is a non-repeating, non-terminating decimal. So, it is an irrational number.

### 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.”