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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.

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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

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1 taken from 3, 2 remain.

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5

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6, 5

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10, 9

b. 1 and 1 give 2

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2 taken from 2, 0 remains.

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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 you find that?

Child. 6 and I are 7, 2 taken from 7 leave 5, consequently, 2 taken from 6 and 1 leave 5.

Application.

Moth. If you have 7 shillings in 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 in 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 1, 2 taken away; or 1, 2 added and 3 taken away; for instance:

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1 from 4, 3 remain.

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Moth. Deducting 1 from 4 and 3, how many remain ?

Child. Deducting 1 from 4 and 3, 6 remain. Moth. How did you find that?

Child. 4 and 3 are 7; 1 taken from 7, 6 remain; consequently, deducting 1 from 4 and 3, 6 remain.

Moth. Taking 2 from 6 and 3, what will remain ?

Child. Taking 2 from, &c. 7 will remain. Moth. How do you account for that? Child. 6 and 3 are 9, 2 taken from 9, 7 remain; consequently, 2 taken from 6 and 3 leave 7.

Moth. Deducting 3 from 7 and 1, how many remain ?

Child. Deducting, &c. 5 remain, &c.

In the same manner the Mother may in

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