 # Rational and Irrational Number Worksheet

A rational and irrational number worksheet is helpful for kids in solving and practising to better understand these concepts. Kids learn to classify rational and irrational numbers. Children can use this theory of rational numbers in real-time situations like calculating the rate of interest, computing taxes and sharing pizza. They can also find the circumference of a circle which is 2πr. Here, Π is an irrational number that is equal to 3.14159. Rational and irrational numbers worksheet pdf plays a vital role in teaching children the difference between these numbers. Motivate kids to practise the rational and irrational numbers worksheet answer key regularly.

## What is a Rational Number?

Rational numbers are represented by p/q, whereas p and q are unequal to 0 and are integers. A set of rational numbers is represented by Q. Moreover, the rational number is denoted by a fraction where the numerator and denominator are considered integers.

Examples of rational numbers: 6/5, 0.5, -½, -3.5.

### Types of Rational Numbers

The types of rational numbers are:

• Fractions whose numerators and denominators are integers such as -3/9, 7/3
• Terminating decimals such as 0.45, 0.6547, 0.10987
• Non-terminating decimals with repeating patterns, 0.666, 0.151515
• Integers such as 0, -1, 6 and so on

## What is an Irrational Number?

A real number cannot be expressed as p/q, a fraction, whereas p and q are integers. In this case, the denominator q is unequal to 0, q 0. Moreover, the decimal of an irrational number is neither repeating nor terminating.

Examples of irrational numbers:(pi) = 22/7 or 3.14, 2.

### Properties of Irrational Numbers

Learning properties of rational numbers helps kids identify irrational numbers easily and solve the rational and irrational numbers worksheet. Here are a few properties of irrational numbers.

• Non-terminating and non-recurring decimals are considered irrational numbers.
• An irrational number is a real number.
• An LCM (least common multiple) may or may not exist for two irrational numbers.
• Two irrational numbers can or cannot be rational, and they cannot be added, subtracted, multiplied and divided.

## A Detailed List of Rational and Irrational Numbers Worksheets Pdf

Knowing the importance of rational and irrational worksheets will help your kid understand how these numbers work. A rational and irrational numbers worksheet answer key can help kids visualise why these problems are so significant. Providing kids with a rational and irrational numbers worksheet helps kids develop their maths skills, mental maths abilities, problem-solving skills, decision-making skills and overall cognitive development. It is always important to teach kids maths to make sense and to help them connect the dots. One of the best ways to do so is with rational and irrational worksheets for kids. Here is a comprehensive list of rational and irrational numbers worksheets pdf for the little ones.

## Frequently Asked Questions on Rational and Irrational Numbers Worksheets

### What are rational numbers?

A rational number is a number that is represented by p/q, whereas p and q are unequal to 0 and are integers. A set of rational numbers is represented by Q. Moreover, the rational number is denoted by a fraction where the numerator and denominator are considered integers.

### What are irrational numbers?

A real number cannot be expressed as p/q, a fraction, whereas p and q are integers. In this case, the denominator q is unequal to 0, q ≠ 0. Moreover, the decimal of an irrational number is neither repeating nor terminating.

### What are the types of rational numbers?

The types of rational numbers are fractions with numerators, and denominators are integers such as -3/9, 7/3, terminating decimals such as 0.45, 0.6547, 0.10987, non-terminating decimals with repeating patterns like 0.666, 0.151515 and integers such as 0, -1, 6 and so on.