Rational and irrational numbers :

**First we will see, What are the types of Numbers ?**

We are very much familiar with Natural Numbers, Whole Numbers, Integers and Rational Numbers.

**Natural Numbers :** All positive numbers are called as Natural Numbers.

e.g. : 1,2,3,4,5……

**Whole Numbers :** All Natural Numbers and zero are called as Whole Numbers.

e.g. : 0,1,2,3,4,5……

**Integers Numbers :** All positive and Negative numbers including zero are called as Integers.

e.g. : …..-5,-4,-3,-2,-1, 0,1,2,3,4,5……

**Rational Numbers :** The number in the form of m/n (fraction numbers) are called rational numbers.

Here ‘m’ and ‘n’ are integers, but ‘n’ should not be zero.

25 | , | 10 | , | 57 | , | 31 | , −4, 0, 3, 8, 10 etc. |

3 | −7 | 6 | 4 |

**Practice Set 1.1**

**1. **Show the following number on a number line. Draw a separate number line for each example.

(1) | 3 | , | 5 | , − | 3 |

2 | 2 | 2 |

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(2) | 7 | , | −2 | , | −4 |

5 | 5 | 5 |

Shown on the number line as follows :

(3) | −5 | , | 11 |

8 | 8 |

(4) | 13 | , − | 17 |

10 | 10 |

**Answer :**

➤ First check the denominator, here denominator is ‘10’.

Step-I : Draw a line and place numbers on it like -2, -1, 0, 1, 2.

Step-II : Make 10 equal parts of each unit.

Step-II : Show the given rational numbers on the number line.

**2.** Observe the number line and answer the questions.

(1) Which number is indicated by point B?

(2) Which point indicates the number 1 | 3 | ? |

4 |

(3) State whether the statement, ‘the point D denotes the number | 5 | ‘ is true or false. |

2 |

**Ans .**

(1) Observe the line figure given above.

- Count the numbers between ‘0’ to ‘1’ : it is 4, it means denominator should be ‘4’.
- Now count the numbers between ‘O’ to ‘B’ : it is 10, it is left side of the zero, so it is ‘−10’.

So Answer is : The number is indicated by point B is : | −10 | . |

4 |

(2) Observe the question 1 complete number and there after ‘3’.

- it means this number is indicates the point ‘C’.

(3) Again denominator is ‘4’, count till D is ’10’.

So the fraction is : | 10 | = | 10 ÷ 2 | = | 5 |

4 | 4 ÷ 2 | 2 |

**Ans : **True.

**इतर लिंक्स :**

➥ मराठी रंग :

➦ विशेषण व विशेषणाचे प्रकार

➥ सर्वनामाचे प्रकार

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