# Rational Numbers

## Grade 6 Math Worksheets

A **rational number** is one that is a part of a whole denoted as a fraction, decimal or a percentage. It is a **number** which cannot be expressed as a fraction of two integers (or we can say that it cannot be expressed as a ratio).

For instance, let’s consider the square root of 3. It is irrational and cannot be expressed by two integers.

It is an **irrational number** because it cannot be denoted as a fraction with just two integers.

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**Integers and Rational numbers**

They are the **numbers**you usually count and they will continue upto infinity. Whole

**numbers**are all natural

**numbers**including 0.

*Example:*0, 1, 2, 3, 4…**Integers**are all whole

**numbers**and their negative sides too.

*Example…..*-6,-5,-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6…*n*can be written in the form .

**For example**:

**5**= and so

**5**is a rational number. However, numbers like ,,,, and – are also rational; since they are fractions whose numerator and denominator are integers.

## Check Point

**Arrange the following integers in the ascending order:**

- -17, 1, 0, -15, 16,8, 33, 6
- -44, -66, 0, 23, 41, 55, 15, 11, 10, -1, -2

**Identify whether the following is rational or irrational number.**

- 0.5
- 9.0
- 5

##### Answer key

- -17, -15, 0, 1, 6, 8, 16, 33
- -66, -44, -2, -1, 0, 10, 11, 15, 23, 41, 55.

- Rational
- Irrational
- Rational
- Rational
- Rational

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