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What is the first figure at the right hand, or first place, called ? A. Units.

Q. What is the second figure, or second place, called?

A. Tens.

What is the third place called?

A. Hundreds.

Q. What is the fourth place called?

4. Thousands.

Q. In reading, what value do you give those figures which were called units in numerating?

A. Units.

Q. What value do you give tens ?

A. Ters.

Q. What valce do you give hundreds, thousands, &c."
A. Hundreds, thousands, &c.

lens, &c.?

Q. Will you repeat the Numeration Table, begining with units NUMERATION TARLE.

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5 0 0,00 0, read-500 Thousand

60 0 0 0, read-60 Thousand.

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Hundreds of thousands.
Tens of thousands.

THOUSANDS.

∞ Hundreds.
Tens.
UNITS.

1, 2 3 4, 5 6 7, 8 9 1,

Which, by putting their values together, are read thus:

One billion, two hundred and thirty-four million, five hundred and sixty-seven thousand, eight hundred and ninety-one.

Questions on the Table.

Q. What is the value of 9 with one cipher on the right of it? What the value of 8 with two ciphers? Of 7 with three ciphers? Of 6 with four ciphers? Of 5 with five ciphers? Of 4 with six ciphers? Of 3 with seven ciphers? Of 2 with eight ciphers? Of 1 with nine ciphers ? Q. What is the meaning of annex

A. To place after.

Q. What is the meaning of prefix?
A. To place before.

Let the scholar write down, in figures, the answers to the following questions on his slate at recitation.

Q. How much does 1, with 1 cidher annexed, stand for?

A. Ten.

Q. Why?

A. Because the 1 is tens, when I numerate.

Numerate the 10, and see.

Q. What does 1 with 3 ciphers stand for?

A. One thousand.

Q. Why?

A. Because, when I numerate, by saying 'Units, tens, hundreds, thousands,' the 1 comes thousands. Q. What does 5 with five ciphers stand for? A. Five hundred thousand.

Q. Why?

A. Because, when I numerate, the 5 comes hundreds of thousands.

Numerate and see.

Q. What does 8 with 6 ciphers stand for?
A. 8 millions.

Q. Why?

A. In numerating, the 8 comes millions.

Numerate and see.

Q. How do you read the figures 624?

A. Six hundred and twenty-four.
Q. Why do you say 6 hundred ?

Q. What do the figures 6278 stand for?

A. Six thousand two hundred and seventy-eight. Q. How do you know that the 6 is 6 thousand?

Q. How do you read the figures 56768 ? How do you read the gures 27365? How do you read the figures 654212?

Express in words the following numbers.

Note. The pupil may learn the value of each succeeding number by a former one.

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[nine.

Six hundred twenty-three thousand and twenty

6000066 Six million and sixty-six.

8000099

75000100 =

83000800

Seventy-five million and one hundred.

Express in figures the following numbers.

Sixty. One hundred and twenty-five.

Three thousand three hundred and thirty-three.

Three million, three hundred thirty-three thousand, three hundred and thirty-three.

Thirty million.

Three ..undred million and twenty-five.

Q. Will you repeat the following

NUMERATION TABLE?

Hundreds of quintillions.*
Tens of quintillions.
QUINTILLIONS.

Hundreds of quadrillions.
Tens of quadrillions.
O QUADRILLIONS.

Hundreds of trillions.
Tens of trillions.
TRILLIONS.

Hundreds of billions.

Tens of billions.

Hundreds of millions.
Tens of millions.

or BILLIONS.

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Hundreds.

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5 5 5,5 5 5, 5 5 5,5 5 5,5 5 5, 5 5 5, 5 5 5. Q. Will you now repeat the combined value of each figure 5 which is prefixed to the foregoing Table ?

A. Five hundred and fifty-five quintillion, five hundred and fifty-five quadrillion, five hundred and fifty-five trillion, five hundred and fifty-five billion, five hundred and fifty-five million, five hundred and fifty-five thousand, five hundred and fifty-five.

SIMPLE ADDITION.

¶ VII. 1. You bought an orange for 9 cents, and a melon for 15 cents; what did you pay for both?

2. James bought a top for 6 cents, a knife for 12 cents, and an inkstand for 8 cents; how much did they all come to? 3. Harry and James lost some money; James lost 20 cents, and Harry 12; how much did both lose?

4. A boy laid out 10 cents in marbles, 8 cents in quills, and 6 cents for a slate pencil; how much did he lay out in all? 5. You give 40 cents for a Practical Arithmetic, 8 cents for a ruler, 9 cents for an inkstand, and lose 6 cents; how much money has gone from you?

6. A man gave his children money in the following manner; to his oldest 3 dollars, to James 5 dollars, to Thomas 9 dollars, and to his two daughters 4 dollars apiece; how much did he give away?

* In like manner we may go from quintillions to sextillions, septillions, octillions, nonillions, decillions, undecillions, duodecillions, &c.

7. 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?

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

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

10. If you had three times as many fingers and thumbs as you have now, how many would you have in all?

11. How many quarters to an apple, or any thing? 12. How many thirds to an apple, or any thing?

13. If an apple, a number, or any thing, is divided into 4 equal parts, what would one of those parts be called? A. One quarter, or

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

15. If an apple, or any thing, is divided into 5 equal parts, what would one part be called? A. One fifth, or 1.

16. What would 2 parts be called? A. Two fifths, or . 17. What would 4 parts be called?

18. How many parts does it take to make 5 fifths? A. 5. 19. How many parts does it take to make the whole? A. 5. 20. Why is the whole? A. Because the whole of the

apple was divided into 5 equal parts ?

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

22. If of an apple cost 1 cent, what will the whole cost?

Note A.--Of the two following tables, the first is to be added from left to right, thus, 1 and 2 are 3; then the next line, thus, 1 and 2 are 3, and 3 are 6; then the next line, thus, 1 and 2 are 3, and 3 are 6, and 4 are ten; and thus with all the lines. The second is to be added from left to right, in the same manner. The learner, in reciting either, is not to look on the book; the order of the figures being such as to render it unnecessary.

23. What is the sum of the following numbers?

12 123

1234

A. 3 2 2 2 2 2 2 2 2 2 2 2 2

A 24

A. 6

A. 10

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