Rational and irrational numbers worksheet with answers pdf

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

What are 10 examples of irrational numbers?

These are listed below: √2, √3, √5, √7, √11, √13 … √9949, √9967, and √9973. Now we can create infinite irrationals using these and the multiplication rule..
List A: 2√2, 3√2, 4√2, ….
List B: 2π, 3π, 4π, ….
List C: 2log35, 3log35, 4log35, ….

What are 5 examples of rational numbers?

Any fraction with non-zero denominators is a rational number. Some of the examples of rational numbers are 1/2, 1/5, 3/4, and so on. The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc.

What are the 3 types of irrational numbers?

List of Irrational Numbers. The famous irrational numbers consist of Pi, Euler's number, and Golden ratio. Many square roots and cube root numbers are also irrational, but not all of them. For example, √3 is an irrational number, but √4 is a rational number.

What are 5 examples of irrational numbers?

Irrational Numbers Examples √9 is a perfect square. -2/8 has a recurring terminating decimal value. These numbers are rational numbers. The irrational numbers are e, √13, π.

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