Rational and Irrational Numbers
Rational and Irrational Numbers
Rational Numbers:
The word rational number comes from the word ratio. Numbers of the form are called rational numbers, where p and q are integers and p and q are co-prime.on converting them into decimals they can be expressed either in the terminating decimal form or in the non-terminating repeating (recurring) decimal form
Irrational Numbers:
There are certain decimal number which neither terminating nor repeating such as
x = 0.202002000200002...
We observe that in the decimal number x, there are either 2,s or 0,s and that the 2,s are separated respectively by one zero, then one zero, then two zeros, then three zeros and so on. Clearly, the number of zeros separating two successive 2,s goes on increasing successively by one. So, we can go on writing this decimal endlessly. Consequently, the decimal representation of number x is non-terminating. We also observe that no group of digits repeats. So, the decimal representation of x is non-repeating. Thus, we have numbers whose decimal representation is neither terminating nor repeating. In fact, there a lots of non-terminating non-repeating decimals such as 0.12112111211112...,0.3000300003000003..., 0.10100100010001....and so on.
Evaluate: | |||
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The value of | |||
| Right Option : C | |||
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The value of | |||
| Right Option : C | |||
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Students / Parents Reviews [10]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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Hiya Gupta
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Archit Segal
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Prisha Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
