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Rational and Irrational Numbers

Rational and Irrational Numbers Worksheets

Explore our rational and irrational numbers worksheets for comprehensive practice in comparing and ordering rational numbers, distinguishing between rational and irrational numbers, writing fraction equivalents of non-terminating recurring decimals, performing all four mathematical operations with them, and much more. Kickstart your learning journey with our free worksheets!

Writing Fraction Equivalents of Non-Terminating Recurring Decimals

In the first part, convert the non-terminating recurring decimal into a fraction and select the fraction equivalent in the second part.

Identifying Rational and Irrational Numbers

Observe each number and write whether it is rational or irrational. Then, choose the rational number from the given choices.

Rational Numbers on Number Lines

Plot the rational numbers on visual models and then select the correct number line in this set of rational and irrational numbers worksheets.

Comparing and Ordering Rational Numbers

With the help of each number line, compare pairs of rational numbers in the first part and then order rational numbers in ascending or descending order.

Compare and Order | Rational and Irrational Numbers

Compare rational and irrational numbers using >, <, or =, and then arrange them from least to greatest or vice versa using this set of worksheets.

Add and Subtract Rational Numbers

Evaluate rational expressions involving addition and subtraction and then round the answer to two decimal places in these worksheets.

Multiply and Divide Rational Numbers

Rewrite decimals as fractions, flip the fraction for division, remove common factors, and reduce the expression to its simplest form.

Simplifying Rational Expressions

Solve the expressions with three or four terms in these rational numbers worksheets by determining the common denominator, factoring, and simplifying each one.

Properties of Rational and Irrational Numbers

Utilize the properties of rational and irrational numbers to complete the first section. Then, state whether each expression is rational or irrational without simplifying.