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1 taken from 5 and 4 remain.

J - - 4 - 3 —

1 - - 3 - 2 —

i - - 2 - 1 —

1 . - . . - 1 - 0 —, &c.

Questions.

Moth. 1 taken from 6, how many remain?
Childr. 1 taken from 6, 5 remain, &c.
The mother proceeds to take from ten
cubes 2 at a time, and says:

2 taken from 10 and 8 remain.
2 - . 9 . 7 —

2 . . 8 - 6 —

2 - - 7 - 5, &c.

till nothing remains.

Questions.

Moth. 2 taken from 6, how many remain?
Childr. 2 - - - - 4 remain.
MofA. Prove that.

Childr. 2 are twice 1, 1 taken from 6, 5 remain, 2 taken from 6, 4 remain.

application.

Moth. If you have 9 apples, and give 2 of them to your brother, how many will remain?

Childr. If from 9 apples I give away 2, I shall keep 7.

Moth. Give me your reason. Child. 2 are twice 1; 1 taken from 9, 8 remain, 2 from 9, 7 remain.

The Mother continues to take from the 10 cubes, 3 each time, till nothing remain. 3 taken from 10 and 7 remain. 3 - - 9 - 6 3 - . 8 - 5 3 - - 7-4 -&c.

Questions.

Moth. 3 taken from 8, how many remain?

Child. 3 taken from 8, 5 remain.

Moth. How do you make that out?

Child. 3 are 3 times 1; 1 taken from 8, 7 remain; 2 from 8, 6 remain; 3 from 8, 5 remain.

Application.

Moth. Suppose you have 7 marbles, and you lose 3 of them, how many will remain?

Child. If I have, &c. 4 will remain.

Moth. Prove that, if you please.

Child. 3 marbles are 3 times 1 marble; 1 marble from 7, 6 remain; 2 from 7, 5 remain; and 3 from 7, 4 remain.

In the same manner, the Mother may continue to take from the 10 cubes, 4,5, &c. and make her pupils always give the reasons for their answers.

Combination of Addition and Subtraction. In this exercise, to each number from 1 to 8, 2 are added, and 1 is taken away; or 1 added, and 2 taken away, as: a. 1 and 2 give 3 1 taken from 3, 2 remain.

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Questions.

Moth. If from 3 and 2, 1 be taken away, how many remain?

Child. 1 taken from 3 and 2, 4 remain. Moth. How did you find that? Child. 3 and 2 are 5, 1 taken from 5, 4 remain.

Moth. How many remain, if from 6 and 1 2 be taken away?

Child. If from 6 and 1, 2 be taken away, 5 remain.

Moth. How did yon find that? Child. 6 and 1 are 7, 2 taken from 7 leave 5, consequently, 2 taken from 6 and 1 leave 5.

application.

Moth. If you have 7 shillings iu your purse, and your papa should increase your stock with 2 shillings, of which you give 1 away to a poor man, how many remain?

Child. 8 shillings will remain.

Moth. How do you accouut for that?

Child. 7 shillings and 2 more are 9 shillings. 1 taken from 9 leaves 8, consequently, if I have 7 shillings, &c.

Moth. Here I have 8 beans and 1 bean, of which I remove 2 to the other side of the table, how many remain iu this place?

Child. 7 beans remain in this place.

Moth. How will you convince me of that?

Child. 8 beans and 1 bean are 9 beans, 2 beans being removed from 9, 7 beans remain.

2. To each number from 1 to 7,3 are added, and J, 2 taken away; or I, 2 added and 3 taken away; for instance:

[table]
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