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LESSON III.

1. Count the drums in each row, and tell the

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2. How many are 1 and 1 more? 2 and 1 more? 3 and 1 more? 4 and 1 more? 5 and 1 more? 6 and 1 more? 7 and 1 more? 8 and 1 more?

3. How many drums in the first and second lines counted together? In the second and third? In the third and fourth? In the second and fifth?

LESSON IV.

1. What is the method of expressing numbers by figures called ?

ANS. The Arabic Method.

2. Why is it so called?

ANS. Because it was first used by the Arabs.

3. How many letters are used to express numbers ? ANS. Seven.

4. What are they?

ANS. I, V, X, L, C, D, and M.

5. What does I stand for?

ANS. One.

6. What does V stand for?

ANS. Five.

7. What does X stand for? ANS. Ten.

8. What does L stand for? ANS. Fifty.

9. What does C stand for?

ANS. One hundred.

10. What does D stand for?

ANS. Five hundred.

11. What does M stand for?

ANS. One thousand.

12. What is this method called?

ANS. The Roman Method,

13. Why is it so called?

LESSON V.

1. What is the effect of repeating a letter? ANS. Its value is repeated as many times as the letter.

2. If I stands for one, how many do two I's stand for?

ANS. Two.

3. What is the effect of writing a letter of a less value before one of a greater?

ANS. It diminishes the value of the greater. 4. If, then, V stands for five, how many does IV stand for?

ANS. Four.

5. What is the effect of writing a letter of a less value after one of a greater?

ANS. It increases the value of the greater.

6. If then, X stands for ten, how many does XI stand for?

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LESSON VII.

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Here is a picture of a frame, with some balls on the wires, it is called the Numeral Frame.* How many wires are there? How many balls are one ball and one ball? Two balls and one ball? Three balls and one ball? Four balls and one ball? Five balls and one ball? Six balls and one ball? Seven balls and one ball? one ball? Nine balls and one ball? balls on each wire?

Eight balls and
How many

*The apt teacher, by a judicious use of this frame, may easily teach a child a great variety of mental exercises; to count from one to a hundred, and to add, subtract, multiply, and divide, with facility. The counting and other operations should be done silently by the eye, and results only, given by the voice. Adding or counting by ones, twos, threes, &c., up to tens, is an important exercise and easily performed by the use of this frame.

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