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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. Four 4

IV. Five 5

V. Six

6
6

VI. Seven

7
7

VII. Eight 8

VIII. Nine 9

IX. Ten 10

X. Eleven 11

XI. Twelve

12
12

XII.

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Thirteen

13

XIII.

Fourteen

XIV. XV.

XVI. XVII.

LESSON III.

13 14

14 15

/5 16

16 17

17 18

18 19

19 20

20 21

25 22

22 23

23 24

24

XVIII.

Fifteen Sixteen Seventeen Eighteen Nineteen Twenty Twenty-one Twenty-two Twenty-three Twenty-four

XIX.

XX.

XXI.

XXII.

XXIII.

XXIV.

XXV. XXVI.

26

XXVII. XXVIII.

XXIX.

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 27

27 28

28 29

29 30

30 31

3/ 32

32 33

33

34 35

35 36

36

XXX.

XXXI.

34

XXXII. XXXIII. XXXIV. XXXV. XXXVI XXXVII. XXXVIII. XXXIX.

XL.

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 41

4/ 42

42 43

43 44

44 45

45 46

46 47

47 48

48

XLI. XLII.

XLIII.

XLIV. XLV. XLVI. XLVII

XLVIII.

XLIX.

L.

LI

LII.

LIII.

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

53 54

54 55

55 56

56 57

57 58

:58 59

59

LIV

LV.

LVI.

LVII

LVIII. LIX

LXI.

LXII. LXIII.

63

LXIV.

65

LXV.

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 64

64

65 66

66

67 68

68 69

69 70

70 71

71 72

72

LXVI.

67

LXVII. LXVIII.

LXIX.
LXX.

LXXI. LXXII.

LESSON VIII.

73

73

74

75

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

76 77 78 79

LXXIII. 14 LXXIV. 75 LXXV. 76 LXXVI. 77 LXXVII. 78 LXXVIII. 79 LXXIX. 80 LXXX. 8/ LXXXI. 82 LXXXII. 83 LXXXIII. 84 LXXXIV. .

80

81

82

83

84

85

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

LESSON IX.

85 LXXXV. 86 86 LXXXVI. 87

87 LXXXVII. 88 88 LXXXVIII. 89 89 LXXXIX. 90 90

XC. 91 21

XCI. 92 92

XCII. 93

93 XCIII. 94

94 XCIV. 95

95 XCV, 96

96 XCVI.

LESSON X.

XCVII.

98

XCVIII.
XCIX.

C.
CI.

Ninety-seven

97 Ninety-eight Ninety-nine

99 One hundred

100 One hundred and one

97 98 99 100 JOS 102 103 104 105 106 107

CII.

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

CIII. .

CIV.

CV. CVI.

CVII.

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