2. संख्या, प्राकृत संख्या, पूर्ण संख्या, पूर्णांक और हिंदी में 1 से 100 तक गिनती |

संख्या 
प्राकृत संख्या 
पूर्ण संख्या और 
पूर्णांक


Natural numbers: - When we begin to count 1, 2, 3, 4, 5, 6, 7,  ....to infinity etc numbers comes naturally before us hence, mathematicians call the counting numbers as Natural numbers.

Collection of Natural Numbers is denoted by Capital N.

N = { 1, 2, 3, 4, 5, 6, 7,  ………}

 

izkd`r la[;k,¡ %& 1, 2, 3, 4, 5, 6, 7, ……...ls vuar rd vkfn la[;k,a gekjs lEeq[k izkd`frd :i ls vkrh gSaA blhfy,] xf.krK bu x.ku ¼fxurh fxuus okyh½ la[;kvksa (Counting Numbers) dks izkd`r la[;k,¡ (Natural Numbers) dgrs gSaA

izkd`r la[;kvksa ds lewg dks vaxzsth ds cMs v{kj ,u0 ls n’kZkrs gSaA

N = { 1, 2, 3, 4, 5, 6, 7,  ………}

 

Whole Numbers: - The natural numbers along with zero form the collection of whole numbers i.e. 0, 1, 2, 3, 4, 5, 6, 7,  ....

Collection of Whole Numbers is denoted by Capital W.

W = { 0, 1, 2, 3, 4, 5, 6, 7,  ………}

 

iw.kZ la[;k,¡ %&  izkd`r la[;k,¡ 'kwU; ds lkFk feydj iw.kZ la[;kvksa (Whole numbers) dk laxzg cukrh gSaA tSls 0, 1, 2, 3, 4, 5, 6, 7,  ....

izkd`r la[;kvksa ds lewg dks vaxzsth ds cMs v{kj MCY;q0 ls n’kZkrs gSaA

W = { 0, 1, 2, 3, 4, 5, 6, 7,  ………}

 

Integer: - The set of Negative and Positive whole numbers including zero is called Integer. Collection of Integers is denoted by Capital Z.

Z = { , ..…..,  – 3,  – 2,  – 1,  0, + 1, + 2 +3, ………, +}

udkjRed] ‘kwU; rFkk /kukRed iw.kZkadksa ds lewg dks bUVhtj dgrs gsaA bls vaxzsth ds cMs v{kj tsM0 ls n’kZkrs gSaA

Z = { , ..…..,  – 3,  – 2,  – 1,  0, + 1, + 2 +3, ………, +}

 

There are two types of integer number.

01.     Negative integer: - The integer with Negative sign and started from  to – 1is called Negative Integers i.e.  – , ..…..,  – 3,  – 2,  – 1

02.     Zero: - Integer 0 is neither negative nor positive.

03.     Positive integer: - The integer with positive number started from 1 to is called Positive Integers i.e. + 1, + 2, + 3, ……, +

 

Rational Number: - The number in the form of p/q is called Rational number where q ≠ 0 and p and q are integer.

 

There are two types of rational number.

01.    Negative Rational Number: - A rational number is said to be Negative if either its Numerator or Denominator is Negative.

, , , , , ,are Negative Rational Numbrs

02.    Zero  Rational Number: - 0 is a rational Number because it can be written in the form of  with non zero q ≠ 0.

03.    Positive Rational Number: - A rational number is said to be positive if its Numerator and Denominator both are Negative or Positive.

, , 2, 91, , are Positive

Note that: - (Division by 0 is not define) and 

 

There are two types of Rational Numbers.

01. Terminating and           02. Non terminating number

01. Terminating Rational Numbers: - Which number divided completely by denominator is called Terminating Rational Number. As , , ,  etc.

02. Non-Terminating Number: - In which rational numbers, the division process never does not comes to end are called Non-Terminating Number.

These are of two types

a)       Non-Terminating Repeating Numbers and

b)       Non-Terminating Repeating Non Repeating

 

a) Non-Terminating Repeating Numbers or Non Terminating Recurring Numbers: - In which Non terminating numbers in the division process reminder starts repeating after a certain numbers are called Non Terminating Repeating Numbers or Non Terminating Recurring Numbers.

These Repeating Numbers are represented by putting a bar over the first block or group or pair and other repeating parts of number will omit after putting a Bar.

When reminder repeats itself then you should understand that the quotient repeats itself.

 

b) Non-Terminating and Non Repeating Numbers: - In which Non terminating numbers, in the division process reminder starts repeating after a certain numbers are called Non Terminating and Non Repeating Numbers. 

Irrational Number: - The real numbers that are not expressible in the form of p/q is called Irrational number where q ≠ 0 and p and q are integer.

Pi is an irrational number.


हिंदी में 1 से 100 तक गिनती | 

Hindi numbers 1 To 100

NumberEnglish NumbersHindiHindi Numbers
0Zeroशून्य
1Oneएक
2Twoदो
3Threeतीन
4Fourचार
5Fiveपांच
6Sixछः
7Sevenसात
8Eightआठ
9Nineनौ
10Ten१०दस
11Eleven११ग्यारह
12Twelve१२बारह
13Thirteen१३तेरह
14Fourteen१४चौदह
15Fifteen१५पंद्रह
16Sixteen१६सोलह
17Seventeen१७सत्रह
18Eighteen१८अट्ठारह
19Nineteen१९उन्निस
20
Twenty२०बीस
21Twenty one२१इक्कीस
22Twenty two२२बाईस
23Twenty three२३तेईस
24Twenty four२४चौबीस
25Twenty five२५पच्चीस
26Twenty six२६छब्बीस
27Twenty seven२७सत्ताईस
28Twenty eight२८अट्ठाईस
29Twenty nine२९उनतीस
30Thirty३०तीस
31Thirty one३१इकतीस
32Thirty two३२बत्तीस
33Thirty three३३तैंतीस
34Thirty four३४चौंतीस
35Thirty five३५पैंतीस
36Thirty six३६छ्त्तीस
37Thirty seven३७सैंतीस
38Thirty eight३८अड़तीस
39Thirty nine३९उनतालीस
40Forty४०चालीस
41Forty one४१इकतालीस
42Forty two४२बयालीस
43Forty three४३तैंतालीस
44Forty four४४चौंतालीस
45Forty five४५पैंतालीस
46Forty six४६छियालीस
47Forty seven४७सैंतालीस
48Forty eight४८अड़तालीस
49Forty nine४९उनचास
50Fifty५०पचास
51Fifty one५१इक्याबन
52Fifty two५२बावन
53
Fifty three
५३तिरेपन
54Fifty four५४चौबन
55Fifty five५५पचपन
56Fifty six५६छप्पन
57Fifty seven५७सत्तावन
58Fifty eight५८अट्ठावन
59Fifty nine५९उनसठ
60Sixty६०साठ
61Sixty one६१इकसठ
62Sixty two६२बासठ
63Sixty three६३तिरसठ
64Sixty four६४चौंसठ
65Sixty five६५पैंसठ
66Sixty six६६छियासठ
67Sixty seven६७सड़सठ
68Sixty eight६८अड़सठ
69Sixty nine६९उनहत्तर
70Seventy७०सत्तर
71Seventy one७१इकहत्तर
72Seventy two७२बहत्तर
73Seventy three७३तिहत्तर
74Seventy four७४चौहत्तर
75Seventy five७५पचहत्तर
76Seventy six७६छिहत्तर
77Seventy seven७७सतहत्तर
78Seventy eight७८अठहत्तर
79Seventy nine७९उनासी
80Eighty८०अस्सी
81Eighty one८१इक्यासी
82Eighty two८२बयासी
83Eighty three८३तिरासी
84Eighty four८४चौरासी
85Eighty five८५पचासी
86Eighty six८६छियासी
87Eighty seven८७सतासी
88Eighty eight८८अठासी
89Eighty nine८९नवासी
90Ninety९०नब्बे
91Ninety one९१इक्यानबे
92Ninety two९२बानवे
93Ninety three९३तिरानवे
94Ninety four९४चौरानवे
95Ninety five९५पचानवे
96Ninety six९६छियानवे
97Ninety seven९७सत्तानवे
98Ninety eight९८अट्ठानवे
99Ninety nine९९निन्यानवे
100Hundred१००(एक) सौ

संस्कृत संख्या गिनती का ज्ञान–

1. One एकम् (ekam)

2.Two द्वे (dve)

3.Three त्रीणि (treeni)

4. Four चत्वारि (chatvaari)

5. Five पञ्च (pancha)

6. Six षट् (shat)

7. Seven सप्त (sapta)

8. Eight अष्ट (ashta)

9. Nine नव (nava)

10. Ten दश (dasha)

11. Elelven एकादश (ekaadasha)

12. Twelve द्वादश (dvaadasha)

13. Thirteen त्रयोदश (trayodasha)

14. Fourteen चतुर्दश (chaturdasha)

15. Fifteen पञ्चदश (panchadasha)

16. Sixteen षोडश (shodash)

17. Seventeen सप्तदश (saptadasha)

18. Eighteen अष्टादश (ashtaadasha)

19. Nineteen नवदश (navadasha)

20. Twenty विंशतिः (vinshatihi)

21. Twenty one एकविंशतिः (ekavimshatihi)

22. Twenty two द्वाविंशतिः (dvaavimshathi)

23. Twenty three त्रयोविंशतिः (trayovimshatihi)

24. Twenty four चतुर्विंशतिः (chaturvimshatihi)

25. Twenty five पञ्चविंशतिः (panchavimshatihi)

26. Twenty six षड्विंशतिः (shadvimshatihi)

27. Twenty seven सप्तविंशतिः (saptavimshatihi)

28. Twenty eight अष्टाविंशतिः (ashtaavimshatihi)

29. Twenty nine नवविंशतिः (navavimshatihi)

30. Thirty त्रिंशत् (trimshat)

31. Thirty one एकत्रिंशत् (ekatrimshat)

32. Thirty two द्वात्रिंशत् (dvaatrimshat)

33. Thirty three त्रयस्त्रिंशत् (trayastrimshat)

34. Thirty four चतुस्त्रिंशत् (chatustrimshat)

35. Thirty five पञ्चत्रिंशत् (panchatrimshat)

36. Thirty six षट्त्रिंशत् (shat-trimshat)

37. Thirty seven सप्तत्रिंशत् (saptatrimshat)

38. Thirty eight अष्टत्रिंशत् (ashtatrimshat)

39. Thirty nine नवत्रिंशत् (navatrimshat)

40. Forty चत्वारिंशत् (chatvaarimshat)

41. Forty one एकचत्वारिंशत् (ekachatvaarimshat)

42. Forty two द्विचत्वारिंशत् (dvichatvaarimshat)

43. Forty three त्रिचत्वारिंशत् (trichatvaarimshat)

44. Forty four चतुश्चत्वारिंशत् (chatushchatvaarimshat)

45. Forty five पञ्चचत्वारिंशत् (panchachatvaarimshat)

46. Forty six षट्चत्वारिंशत् (shatchatvaarimshat)

47. Forty seven सप्तचत्वारिंशत् (saptachatvaarimshat)

48. Forty eight अष्टचत्वारिंशत् (ashtachatvaarimshat)

49. Forty nine नवचत्वारिंशत् (navachatvaarimshat)

50. Fifty पञ्चाशत् (panchaashat)

51. Fifty one एकपञ्चाशत् (ekapanchaashat)

52. Fifty two द्विपञ्चाशत् (dvipanchaashat)

53. Fifty three त्रिपञ्चाशत् (tripanchaashat)

54. Fifty four चतुःपञ्चाशत् (chatuhupanchaashat)

55. Fifty five पञ्चपञ्चाशत् (panchapanchaashat)

56. Fifty six षट्पञ्चाशत् (shatpanchaashat)

57. Fifty seven सप्तपञ्चाशत् (saptapanchaashat)

58. Fifty eight अष्ट्पञ्चाशत् (ashtapanchaashat)

59. Fifty nine नवपञ्चाशत् (navapanchaashat)

60. Sixty षष्टिः (shashtihi)

61. Sixty one एकषष्टिः (ekashashtihi)

62. Sixty two द्विषष्टिः (dvishashtihi)

63. Sixty three त्रिषष्टिः (trishashtihi)

64. Sixty four चतुःषष्टिः (chatuhushashtihi)

65. Sixty five पञ्चषष्टिः (panchashashtihi)

66. Sixty six षट्षष्टिः (shatshashtihi)

67. Sixty seven सप्तषष्टिः (saptashashtihi)

68. Sixty eight अष्टषष्टिः (ashtashashtihi)

69. Sixty nine नवषष्टिः (navashashtihi)

70. Seventy सप्ततिः (saptatihi)

71. Seventy one एकसप्ततिः (ekasaptatihi)

72. Seventy two द्विसप्ततिः (dvisaptatihi)

73. Seventy three त्रिसप्ततिः (trisaptatihi)

74. Seventy four चतुःसप्ततिः (chatuhusaptatihi)

75. Seventy five पञ्चसप्ततिः (panchasaptatihi)

76. Seventy six षट्सप्ततिः (shatsaptatihi)

77. Seventy seven सप्तसप्ततिः (saptasaptatihi)

78. Seventy eight अष्टसप्ततिः (ashtasaptatihi)

79. Seventy nine नवसप्ततिः (navasaptatihi)

80. Eighty अशीतिः (asheetihi)

81. Eighty one एकाशीतिः (ekaasheetihi)

82. Eighty two द्व्यशीतिः (dvyasheetihi)

83. Eighty three त्र्यशीतिः (tryasheetihi)

84. Eighty four चतुरशीतिः (chaturasheetihi)

85. Eighty five पञ्चाशीतिः (panchaasheetihi)

86. Eighty six षडशीतिः (shadasheetihi)

87. Eighty seven सप्ताशीतिः (saptaasheetihi)

88. Eighty eight अष्टाशीतिः (ashtaasheetihi)

89. Eighty nine नवाशीतिः (navaasheetihi)

90. Ninety नवतिः (navatihi)

91. Ninety one एकनवतिः (ekanavatihi)

92. Ninety two द्विनवतिः (dvinavatihi)

93. Ninety three त्रिनवतिः (trinavatihi)

94. Ninety four चतुर्नवतिः (chaturnavatihi)

95. Ninety five पञ्चनवतिः (panchanavatihi)

96. Ninety six षण्णवतिः (shannavatihi)

97. Ninety seven सप्तनवतिः (saptanavatihi)

98. Ninety eight अष्टनवतिः (ashtanavatihi)

99. Ninety nine नवनवतिः (navanavatihi)

100. A hundred शतम् (shatam)

200 - द्विशत or द्वेशते

300 - त्रिशत

400 - चतुःशत

500 - पञ्चशत

600 - षट्शत

700 - सप्तशत 800 - अष्टशत

900 - नवशत

1,000 - सहस्र or दशशत

2,000 - द्विसहस्र

3,000 - त्रिसहस्र

4,000 - चतःसहस्र

5,000 - पञ्चसहस्र

6,000 - षट्सहस्र

7,000 - सप्तसहस्र

8,000 - अष्टसहस्र

9,000 - नवसहस्र

10,000 - अयुत

1,00,000 - लक्ष

10,00,000 - प्रयुत

1,00,00,000 - कोटि

10,00,00,000 - अर्बुद

1,00,00,00,000 - अब्ज

10,00,00,00,000 - खर्व

1,00,00,00,00,000 - निखर्व

10,00,00,00,00,000 - महापद्म

1,00,00,00,00,00,000 - शङ्कु

10,00,00,00,00,00,000 - जलधि

1,00,00,00,00,00,00,000 - अन्त्य

10,00,00,00,00,00,00,000 - मध्य

1,00,00,00,00,00,00,00,000 - परार्ध

==============================

एक-दश-शत सहस्रायुत-लक्ष-प्रयुत-कोटयः क्रमशः |

अर्बुदमब्ज खर्व-निखर्व-महापद्म-शङ्कवस्तस्मात् ||

जलधिश्चान्तं मध्यं परार्धमिति दशगुणोत्राः संज्ञाः |

संख्यायाः स्थानानां व्यवहारार्थं कृताः पूर्वैः ||

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