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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 ), 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
5

V. Six

6
6

VI. Seven 7

7

VII. Eight 8

8

VIII. Nine 9

IX. Ten

10
10

X. Eleven 11 11

XI.

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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

2.5 26

26 27

27 28

28 29

29 30

30 31

31 32

32 33

33 34

34 35

35 36

36

XXV. XXVI. XXVII. XXVIII. XXIX. XXX. XXXI. XXXII.

XXXIII. XXXIV. Xxxv. XXXVI. XXXVII. XXXVIII. XXXIX.

XL.

XLI.

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 42

42 43

43 44

44 45

45 46

46 47

47 48

48

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

51 52

52 53

53 54

54 55

55 56

56 57

57 58

58 59

59

LIV.

LV.

LVI.

LVII.

LVIII.

LIX. LXI.

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

61 62

62 63

63 64

64 65

65 66

66 67

67 68

68 69

LXII. LXIII. LXIV. LXV. LXVI. LXVII. LXVIII.

69

LXIX.

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

78

LXXIII. LXXIV. LXXV. LXXVI. LXXVII. LXXVIII. LXXIX. LXXX. LXXXI. LXXXII. LXXXIII. LXXXIV.

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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

85 LXXXV. 86

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

XC.

XCI. 92 92

XCII. 93 93

XCIII. 94 94

XCIV. 95 95

XCV. 96 96

XCVI.

91

91

LESSON X

97

98

XCVII. XCVIII. XCIX.

C.

Ninety-seven

97 Ninety-eight

98 Ninety-nine

99 One hundred

99 100 101 102 103 104 105 106 107

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

CI. CII. CIII. CIV. CV.

CVI.

CVII.

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