Identifying rational and irrational numbers answer key

A rational number is expressed in the form of p/q, where p and q are integers and q not equal to 0. Every integer is a rational number. A real number that is not rational is called irrational. Irrational numbers include pi, phi, square roots etc. The decimal expansion of an irrational number continues without repeating. Rational and irrational numbers worksheets include a variety of problems and examples based on operations and properties of rational and irrational numbers.

Benefits of Rational and Irrational Numbers Worksheets

Rational and irrational numbers worksheets help students solve and practise questions based on rational numbers like classifying numbers as rational or irrational.

Real-life applications of rational numbers include sharing pizza, interest rates on loans, taxes are calculated in the form of fractions. One of the most practical applications of irrational numbers is finding the circumference of a circle: 2πr. Π is an irrational number with a value of ≈ 3.14159…

Download Rational and Irrational Numbers Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

☛ Check Grade wise Rational and Irrational Numbers Worksheets

  • 8th Grade Rational and Irrational Numbers Worksheets

How do you identify a number is rational or irrational?

A rational number is the one which can be represented in the form of P/Q where P and Q are integers and Q ≠ 0. But an irrational number cannot be written in the form of simple fractions. ⅔ is an example of a rational number whereas √2 is an irrational number.

What are 5 examples of irrational numbers?

Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.

How do you explain rational and irrational numbers to children?

Rational numbers can be expressed in fractions, where the denominator is not zero. Irrational numbers cannot be expressed in fractions. Rational numbers include perfect squares like 9, 16, 25, 36, 49 etc. Irrational numbers have to be left in their root form and cannot be simplified like 2, 3, 5, 7, 11 etc.