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LESSON I. NOTATION is writing numbers; Numeration is reading them. Numbers are written or expressed by words, by figures, and by capital letters.

The Arabic method of expressing numbers by figures is used in all arithmetical computations. Ten figures are used, viz., the figure one (1), the figure two (2), the figure three (3), the figure four (4), the figure five (5), the figure six (6), the figure seven (7), the figure eight (8), the figure nine (9), and the cipher (0); each of which expresses as many units as its name indicates. These ten figures are called the arithmetical alphabet.

The Roman method of expressing numbers by letters is used in numbering the chapters of books, sections, &c. Seven letters are used, viz., I, V, X, L, C, D, and M. The letter I expresses one; V, five; X, ten; L, fifty ; C, one hundred; D, five hundred; and M, one thousand.

All numbers can be expressed by these ten figures, or seven letters, by combining and repeating them, which will be shown to some extent in the following lessons :

LESSON II. One 1

I. Two

2
2

II. Three

3
3

III. Bour

IV. Five

5
5

V. Six

6
6

VI. Seven 7

7

VII. Eight 8

VIII. Nine

9
9

IX. Ten

10
10

X. Eleven 11

XI. Twelve

12
12

XII.

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XXV.

Twenty-five Twenty-six Twenty-seven Twenty-eight Twenty-nine Thirty Thirty-one Thirty-two Thirty-three Thirty-four Thirty-five Thirty-six

LESSON IV. 25

25 26

26 27

27 28 29

29 30

30 31

3/ 32

32 33

33

34 35

35 36

36

XXVI. XXVII. XXVIII. XXIX, XXX

XXXI

34

XXXII. XXXIII. XXXIV. XXXV. XXXVI.

Thirty-seven
Thirty-eight
Thirty-nine
Forty
Forty-one
Forty-two
Forty-three
Forty-four
Forty-five
Forty-six
Forty-seven
Forty-eight

LESSON V. 37

37 38

38 39

39 40

40 41

Al 42

42 43

43 44

44 45

45 46

46 47

47 48

XXXVII. XXXVIII. XXXIX.

XL. XLI. XLII. XLIII.

XLIV.

XLV. XLVI. XLVII. XLVIII.

XLIX.

L. LI.

53

Forty-nine
Fifty
Fifty-one
Fifty-two
Fifty-three
Fifty-four
Fifty-five
Fifty-six
Fifty-seven
Fifty-eight
Fifty-nine

LESSON VI. 49

49 50

50 51

5/ 52

52

53 54

54

55 56

56 57

57 58

58 59

59

55

LII. LIII. LIV.

LV. LVI. LVII LVIII. LIX

LXI. LXII.

Sixty-one Sixty-two Sixty-three Sixty-four Sixty-five Sixty-six Sixty-seven Sixty-eight Sixty-nine Seventy Seventy-one Seventy-two

LESSON VII. 61

6/ 62

62 63

63 64

64 65

65 66

66

67 68

68 69

69 70

70 71

7/ 72

72

LXIII.
LXIV.

LXV. LXVI. LXVII. LXVIII.

LXIX.

67

LXX. LXXI.

LXXII.

LESSON VIII.

73

LXXIII.

74

75

76

LXXIV. LXXV. LXXVI. LXXVII. LXXVIII.

77

78

Seventy-three
Seventy-four
Seventy-five
Seventy-six
Seventy-seven
Seventy-eight
Seventy-nine
Eighty
Eighty-one
Eighty-two
Eighty-three
Eighty-four

73 74 75 76 77 78 79 80 8/ 82 83 84

79

LXXIX.

80

LXXX.

81

LXXXI.

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LESSON IX.

85

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86 87

88

89

90

Eighty-five Eighty-six Eighty-seven Eighty-eight Eighty-nine Ninety Ninety-one Ninety-two Ninety-three Ninety-four Ninety-five Ninety-six

85 LXXXV. 86 LXXXVI. 87 LXXXVII. 88 LXXXVIII. 89 LXXXIX. 90

xc. 91 92 XCII. 93 XCIII. 94

XCIV. 95

XCV. 96

XCVI.

91

XCI.

92

93

94

95

96

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LESSON X.

XCVII. XCVIII. XCIX.

C. CI. CII.

Ninety-seven

97 Ninety-eight

98 Ninety-nine

99 One hundred

100 One hundred and one 101 One hundred and two 102 One hundred and three 103 One hundred and four 104 One hundred and five 105 One hundred and six 106 One hundred and seven 107

97 98 99 100 101 102 103 104 105 106 107

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