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AUTHOR OF PRACTICAL AND MENTAL ARITHMETIC, THE PRODUCTIVE GRAMMA,
THE PRODUCTIVE GEOGRAPHY, &c

STEREOTYPE EDITION

NEW YORK:

CADY & BURGESS, 60 JOHN STREET.

KD 350

PARVARD
UNIVERSITY
LIBRARY
7*130

"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 TR 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 ILLUS TRATED BY FACTS AND EXPERIMENTS WHICH ARE LEVEL TO THE CAPACITY OF ORDINARY MINDS." QUARTERLY REVIEW.

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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 NOTHING. 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 MENTAL2 COURSE FOR EVERY CLASS OF LEARNERS

NUMERATION.'

Recite by the Questions.

I. 1. NUMBER, which shows how many are meant, is represented by letters, by words, and by characters' called figures, as:

...

One. I
Two.

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1 One hundred

C...

II

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Eight VIII 8 Nine. IX*.. .9 Ten. X ..10 Eleven XI. . 11 Twelve, . XII. . 12 Thirteen XIII 13 Fourteen. XIV 14 Fifteen. xv.. 15 Sixteen. . XVI. . 16 Twenty xx.. 20 Thirty. XXX . 30 Forty XL* . 40 Fifty. ...L... Sixty LX .60 Seventy LXX. .

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.. 50

70

Eighty .. LXXX. 80
Ninety XC* .90

100

. 200

300

400

.500

. . 600

: 700

Eight hundred . . . . . DCCC or 10ccc. . . . 800

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One hundred thousand. c or co

Five hundred thousand. D or 19555. . 500000

One million . . . . . . . Mor cccciɔɔɔ0.1000000

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*Or, 1111 for 4; vIIII for 9; xxxx for 40; LXXxx for 90; and CM for 900, + Every o annexed to 10 increases its value 10 times: as 10, is 500, 105 is 5000: in like manner the prefixing of c and the annexing of ɔ to crɔ increases it 10 times as ciɔ, 1000, ccrɔɔ, 10000; lastly a line over any number increases it 1000 times: as, D, 500, 5, 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.

5 CHARACTER, A mark; a stamp; a letter; reputation; a personage.

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