SECOND LESSON.

Mrs. Harley. We talked about letters yesterday: to-day I will explain figures or numbers to you, the following is a list of them: those letters which stand for numbers are called numeral letters.

1	I	One
2	II	Two
3	III	Three
4	IV	Four
5	V	Five
6	VI	Six
7	VII	Seven
8	VIII	Eight
9	IX	Nine
10	X	Ten
11	XI	Eleven
12	XII	Twelve
13	XIII	Thirteen
14	XIV	Fourteen
15	XV	Fifteen
16	XVI	Sixteen
17	XVII	Seventeen
18	XVIII	Eighteen
19	XIX	Nineteen
20	XX	Twenty
21	XXI	Twenty-one
22	XXII	Twenty-two
23	XXIII	Twenty-three
24	XXIV	Twenty-four
25	XXV	Twenty-five
30	XXX	Thirty
36	XXXVI	Thirty-six
40	XL	Forty
47	XLVII	Forty-seven
50	L	Fifty
60	LX	Sixty
70	LXX	Seventy
80	LXXX	Eighty
90	XC	Ninety
100	C	One hundred
200	CC	Two hundred
300	CCC	Three hundred
400	CCCC	Four hundred
500	D	Five hundred
600	DC	Six hundred
700	DCC	Seven hundred
800	DCCC	Eight hundred
900	DCD	Nine hundred
1000	M	One thousand
1100	MC	One thousand one hundred
1500	MD	One thousand five hundred
1812	MDCCCXII	One thousand eight hundred and twelve

In the above list you perceive the numeral letters are I, V, X, L, C, D, and M; the letter that stands for a smaller sum put before one that denotes a greater takes so many from it, and that after it adds so many to it.

The numbers you learned long ago; but I don't think you know the numeration table, it will teach you to read any number of figures not exceeding nine: the last figure on the right hand denotes units, or single figures, the one before that tens, then hundreds, thousands, tens of thousands, hundreds of thousands, tens of hundreds of thousands, millions, tens of millions, hundreds of millions, now my dear read the following number, 123,456,789.

Anne. One hundred and twenty three millions, four hundred and fifty six thousand, seven hundred and eighty nine.

Mrs. Harley. Right; it is absolutely necessary to be able to read figures perfectly, before you can learn arithmetic.

Anne. What is arithmetic, mamma?

Mrs. Harley. The act of numbering, or computing by numbers, my dear. The four principal rules of arithmetic are addition, subtraction, multiplication, and division.

Anne. I wish you would explain them to me.

Mrs. Harley. Addition teaches to collect several numbers together in order to know their total value. The answer to a question in addition is therefore called the sum, total, or amount; subtraction teaches to take a less number from a greater, in order to know the remainder. The answer in subtraction is called the remainder, or difference.

Multiplication teaches to find the amount of any given number repeated a certain number of times. The answer in multiplication is called the product. The three terms made use of in multiplication are, the multiplicand, or number to be multiplied; the multiplier, or number that multiplies; and the product or answer, which is the amount of the multiplicand and multiplier.

Division teaches to find how often one number is contained in another. The answer in division is called the quotient. The four terms made use of in division are, the dividend or number to be divided, the divisor, or number that divides, the quotient or answer which is the number of times one number is contained in another, and the remainder or what is left after dividing.

This explanation of arithmetic must serve you for the present, you shall learn the multiplication table, and do some sums every day, and when you are thoroughly acquainted with these rules, we will proceed to the others.

CHAPTER III.

SATURDAY.

Mrs. Harley. Come hither my dear Anne. Your smiling countenance tells me I may give you a story, so take the book and let us hear the