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BY ROSWELL C. SMITH,
AUTHOR OF PRACTICAL AND MENTAL ARITHMETIC, THE PRODUCTIVB GRAMMAR,

THE PRODUCTIVE GEOGRAPHY, &c.

STEREOTYPE EDITION

HARTFORD:
PUBLISHED BY JOHN PAINE.

1843.

Gaunu ARTHUR PLI». Die

JANUARY 25, 1924

“IT IS NOT EASY TO DEVISE A CURE FOR SUCH A STATE OF THINGS, (THE DECLINING TASTE FOR SCIENCE;) BUT THE MOST OBVIOUS REMEDY IS TO PRO

VIDE THE EDUCATED CLASSES WITH A SERIES OF WORKS ON POPULAR AND

PRACTICAL SCIENCES, FREED FROM MATHEMATICAL SYMBOLS AND TECHNI CAL TERMS, WRITTEN IN SIMPLE AND PERSPICUOUS LANGUAGE, AND ILLUSTRATED BY FACTS AND EXPERIMENTS WHICH ARE LEVEL TO THE CAPACITY OF ORDINARY MINDS."

QUARTERLY REVIEW.

THE FIRST THING TO BE REQUIRED IN A SYSTEM OF POPULAR INSTRUCTION, IS, THAT IT SHOULD BE INTELLIGIBLE; THAT CHILDREN AND YOUTH SHOULD UNDERSTAND WHAT THEY LEARN. UNDERSTAND WHAT THEY LEARN? IT MAY BE ASKED ; WHAT ELSE CAN THEY DO? WE ANSWER, THAT THEY MAY COMMIT IT TO MEMORY, MAY RECITE IT, MAY EVEN MAKE A FAIR SHOW OF KNOWLEDGE, AND YET KNOW NC THING, WE HAVE NOT THE LEAST HESITATION IN SAYING, THAT TWO OR THREE YEARS, IN THE EDU CATION OF ALMOST EVERY INDIVIDUAL IN THIS COUNTRY, HAVE BEEN THROWN AWAY UPON STUDYING WHAT THEY DID NOT UNDERSTAND,

NORTH AMERICAN REVIEW,

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Entered according to Act of Congress, in the year 1841,

BY JOHN PAINE,
in the Clerk's Office of the District Court of Connecticut.

HARTFORD,
STEREOTYPED BY
RICHARD H. HOBBS.

ARITHMETIC.'

PART FIRST:

BEING A MENTAL? COURSE FOR EVERY CLASS OF LEARNERS.

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III.

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NUMERATION:

b Recite by the Questions. I. 1. Number, which shows how many are meant, is representedby letters, by words, and by characters' called figures, as :One 1 One hundred

...

100 Two.. II 2 | Two hundred

. 200 Three. . 3 Three hundred

ccc

. 300 Four. IV*. .4 | Four hundred.

. 400 Five. v....5 Five hundred .

. D or iot.

. 500 Six... .6 Six hundred.

DC Or IOC

.600 Seven. VII. .7 Seven hundred ... DCC or locC

. 700 Eight

.8 Eight hundred ..... dccc or 150cc... ..800 Nine.

.9 Nine hundred. . DCCCC or 15cccct.. 900

X ..10 One thousand. Mor ciot. · 1000 Eleven ..XI Two thousand.

īs or MM.

. 2000 Twelve . . XII. . 12 Three thousand III Or MMM

. 3000 Thirteen . XIII . 13 Four thousand

IV or MMMM 4000 Fourteen . XIV 14 | Five thousand

ū or 155

5000 Fifteen . . XV . . 15 Six thousand

Vi or 155M ..6000 Sixteen.. · XVI. . 16 Seven thousand

VII or 135MM ... 7000 Twenty . . XX .. 20 Eight thousand.

VIII or 135MMM...

8000 Thirty. 30 Nine thousand

IX or 1•MMMM ...

. 9000 Forty

... XL* . 40 | Ten thousand ... X or ccroot 10000 Fifty.

..L...50 Twenty thousand XX or ccroccio3. 20000 Sixty ... LX.. . 60 Fifty thousand ... I or I၁၁၁

50000 Seventy . Lxx. . 70 One hundred thousand. 7 or ccc1555 100000 Eighty.

Lxxx. 80 Five hundred thousand. 7 or 19555... . 500000 Ninety . . XC* .90 One million

M or ccccio555.1000000 * Or, 1111 for 4; viii for 9; xxxx for 40; Lxxxx for 90; and cm for 900,

† Every • annexed to to increases its value 10 times : as ro, is 500, 100 is 5000; in like manner the prefixing of c and the annexing of ɔ to cio increases it 10 times as ció, 1000, CC100, 10000; lastly a line over any number increases it 1000 times: as, D, 500, 7, 500000.

NOTE. L. stands for the Latin language; G. for the Greek and F. for the French. 1 ARITHMETIC, [G. arithmétiké.] Computing, calculating or reckoning by numbers. 2 Mental, (L. mentis.) Pertaining to the mind; intellectually. 3 NUMERATION, (L. numeratio.] Numbering; the method or act of numbering. 4 REPRESENTED, Exhibited ; described; personated; to supply the place of. 6 CHARACTER, A mark; a stamp; a leiter; reputation; a personage.

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