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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