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Mathematics Classes 9- ...

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Chapter One Real Number Mathematics is originated from the process of expressing quantities in symbols or numbers. The history o ...

Natural Number 1 , 2 , 3 , 4 ......... etc. numbers are called natural number or positive whole numbers. 2 , 3 , 5 , 7 ......... ...

after the decimal of numbers are repeated among themselves, they are known recurring decimals and if they are not repeated, they ...

Activity : Show the position of the numbers , 12 7 9 , 5 , 7 , 13 , 0 , 1 , 4 3  , 5 4 2 , .. 1 ˜ 1234 ......,. 323 in the clas ...

? 2 is not an integer. ? 2 is either a rational number or a irrational number. If 2 is a rational number let, ; q p 2 where p an ...

For example, 2 2 ˜ 0 , 0. 4 , 5 2 0. 333 .... 3 1 etc. There are three types of decimal fractions : terminating decimals, recurr ...

Observe : It is found that, the process of division is not ended at the time of dividing a numerator of a fraction by its denomi ...

Required decimal fraction = 0. 2727 ...... Required decimal fraction = = 0. 2  7  2. 56756 ...... 2 . 567  Conversion of Rec ...

Required fraction is 1665 224 5 Example 8. Express 42. 347  8  into simple fraction. Solution: 42. 347  8  = 42. 347878 .... ...

Solution : 5. 23  457  = 5. 23457457457 ......... So, 5. 23  457 u 100000 = 523457. 457457 and 5. 23  457 u 100 = 523. 457 ...

Similar recurring decimals and Non-similar Recurring decimals : If the numbers of digits in non-recurring part of recurring deci ...

So, 5. 6  5. 666  66666 , 7. 34  5  7. 345  4545  4 and 10. 784  2  3 10. 784  23423  Required similar recurring deci ...

observed that in the process of addition of similar decimals if any number is to be carried over after adding the digits at the ...

3 ˜ 8  9  = 3 ˜ 898  98989 | 89 2 ˜ 17  8  = 2 ˜ 178  78787 | 87 5 ˜ 897  98 ^ =^5 ˜^897 ^98798 |^79 11. 975  76576 ...

Remark : If the digit at the beginning place of recurring point in the number from which deduction to be made is smaller than th ...