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now, how

would you

apiece; how much did he give away!

A boy bought 20 marbles for 20 cents, 6 peaches for 8 cents and 3 apples for 2 cents;-how much money did he lay out?

A man bought a cart for 6 Jollars, a plough for 2 dollars, and a pair of steers for 9 dollars, and 2 acres of land for 8 dollars; how much did he lay out in all?

How old would you be, were your age double what it now is?

If you had three times as many fingers, and thumbs as you have many

have in all?

How many quarters to an apple, or any thing? Ans. Four.

How many thirds to an apple, or any thing? Ansi Three.

If an apple, a number, or any thing is divided into 4 equal parts; what would one of these parts be called?

In the above, if divided into 3 equal parts; what would one part be called?

If an apple or any thing, is divided into 5 equal parts what would one part be called? Ans. One fifth, or }

What would 2 parts be called? Ans. Two fifths or .

What would 4 parts be called? Ans. Four fifths, or

How many parts take to make 5 fifths? Ans. 5.
How many parts take to make the whole? Ans. 5.

Why is the whole? Ans. Because the whole of the apple, was divided into five equal parts.

If of an apple cost 2 cents, what will a whole apple cost?

If of an apple cost ) dollar, what will the whole cost?

If you give 6 eagles, for one third of a vessel, for how many eagles can you buy the whole vessel? What is the sum of the following numbers?

1 2
1 2 3
1 2 3 4
1 2 3 4 5
1 2 3 4 5 6
1 2 3 4 5 6 7
1 2 3 4 5 6 8
1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 10
1 2 3 4 5 6 7 8 9 10 11
1 2 3 4 5 6 7 8 9 10 11 12

Note--The above 18 to be added from left to right; as 1 and 2 are 3; 1 and 2 are 3 and 3 are 6; beginning on the left of the top line, afterwards, froni right to left; then perpendicularly, without looking in the book during the recital of it in either way by keeping the order of the figures in the mind, and studied so much, as to be added fluently.

A

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2 2 2 2 2 2 2 2 2 2 2 2
3 3 3 3 3 3 3 3 3 3 3 3
4 4 4 4 4 4 4 4 4 4 4 4
5 5 5 5 5 5 5 5 5 5 5 5
6 6 6 6 6 6 6 6 6 6 6 6

8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12

Note. The foregoing is to be recited in the following manner:-Add in the top line the two first figures, touching

a finger for each figure, till the two first figures in each line are added; then go over with these iwo figures again, and taking one more figure in the top line; and in adding, touch ope finger more, or three fingers in all, and so on till through with these three in every line, continuing to increase one figure, and one finger, till all the fingers, and thumbs are taken on both hands; as 2 and 2 are 4; touching 2 fingers; when the two first columns are finished, say, 2 and 2 are 4 and 2 are 6; touching three fingers or a finger for each fig. ure 2, and so on.

It will be found to be both a pleasing, and profitable exercise for the student, and give him a facility in adding, which he will not acquire so effectually in any other way, except in posting accounts, the nature of which it greatly partakes. * The learner is not to look on the book during the recital:

SUBTRACTION.

What is the process of taking one number from a larger, and thereby shewing the difference between the two numbers called? Ans. Subtraction.

What is the process of taking one number from another of the some kind, or denomination called? Ans. Simple Subtraction.

What do you mean by the same kind, 'or denom. ination? Ans. All dollars, all guineas, all mills, or all seconds. &c.

- To explain this rule, take in the hand ten marbles, take out six, how many are left? Six from ten, leaves how

many

then? Ilow many parts in Subtraction? Ans. Three.

What are they? Ans. Minuend, . Subtrahend, and Difference,

What is the largest number called? A. Minuend. What is the smaller? Ans. Subtrahend.

What is that which is left after subtracting? Ans Remainder.

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In the illustration by marbles above, which is the minuend?

Which is the subtrahend?
Which is the remainder?

Which two parts do you add together, to prove subtraction? Ans. Subtrahend and Difference.

What must the amount be like? Ans. Minuend.

In the above example, which two numbers do you add together in the proof?

How do you know the sum is right? Ans. Bei cause 4 and 6 are 10, as many as I had in my hand in the first place.

How place units to subtract? Ans. Under units.

How place tens, hundreds, &c. Ans. Tens under tens, hundreds under hundreds, &c.

Which hand begin to subtract at? Ans. Right.

How subtract each figure in the lower line? Ans. From the figure above it.

What set down? Ans. Remainder.
If the lower figure is greater than that above it,
What do you do? Ans. Add ten to the upper figure.

What do then? Ans. Take the difference.
What set down? Ans. Remainder:

How many carry in all cases when the lower figare is greater than the upper? Ans. One.

What do you mean by carrying one? Ans. Add one to the next figure.

Which figure, upper or lower? Ans. Next lower.

EXAMPLE

Take 13 from 20. Ans. 7. Proof 7 and 13 are 20. Take 9 from 15. Ans. 6. Proof 6 and 9 are 15. Take 8 from 20. Ans. 12. Proof 12 and 8 are 20. Take 20 from 40. Ans. 20. Proof 20 and 20 are 40. Take 5 from 26. Ans. 21. Proof 21 and 5 are 26

Take 3 from 30. Ans. 27. Proof 27 and 3 are 30. Take 13 from 30. A. 17, Proof 17 and 13 are 30: Take 5 from 11. Ans. 6 Proof 6 and 5 are 11. Take 3 from 13 and

prove

it. Take 25 from 50 and prove it. Take 50 from 100 and

prove

it. Take 60 from 100 and

prove

it. Take 80 from 100 and prove it. Take 75 from 100 and

prove

it. Take 75 from 80 and prove it. Take 90 from 100 and prove it. Take 100 from 200 and

prove

it Take 99 from 100 and prove

it. Take 199 from 200 and prove it. Take 200 from 400 and prove it. Take 500 from 1000 and

prove

it.
Take 600 from 1000 and prove it.
Take 999 from 1000 and prove it.
John has 19 chesnuts, and he gives away 11,

how many has he left?

John has 75 apples, he gives 20 to his oldest brother, 20 to his youngest, and 20 to his sister; how many has he left?

Harry had 25 marbles in both pockets; he lost 9 out of one pocket, and 7 out of the other; how many has he left?

William has two large pockets, they both will hold 75 peaches, he has in one 15, and in the other 45; how many more will they both hold?

A boy returning with a basket full of oranges, containing 100, and meeting his cousin by the way gave him 20; how many did he carry home?

Two boys playing at marbles, each had 20 when they began; John lost 5, how many did each have then? When John lost 8 how many did each have?

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