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BY ROSWELL C. SMITH, A M.,
AOTHOR OF PRACTICAL AND MENTAL ARITHMETIC; THE PRODUCTIVE GRAN-

MAR; THE PRODUCTIVE GEOGRAPHY, ETC.

STEREOTYPE EDITION.

PHILADELPHIA :

J. B. LIPPINCOTT & CO.

Dual

uto

HARVARD COLLEGE LIBRARY

BY EXCHANGE

FE3 12 1932

Adopted by the BROTHERS of the Christian Schools in the Uni. TED STATES.

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 PROVIDE THE EDUCATED OLASSES WITH A SERIES OF WORKS ON POPULAR AND PRACTICAL SCIENCES, FREED FROM MATHEMATICAL SYMBOLS AND TECHNICAL 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 INSTRUO MION, IS, THAT IT SHOULD BE INTELLIGIBLE; THAT CHILDREN AND YOUTH BHOULD 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 EDUDATION OF ALMOST EVERY INDIVIDUAL IN THIS COUNTRY, HAVE EEEN THROWN AWAY UPON STUDYING WHAT THEY DID NOT UNDERSTAND."

NORTH AMERICAN REVIEW

Entered according to Act of Congress, in the year 184),

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

ARITHMETIC.

PART FIRST:

BEING A MENTAL? COURSE FOR EVERY CLASS OF LEARNERS.

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C

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II

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IV*.

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Six.....

VII.

IX*.

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NUMERATION:

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

100 Two. 2 Two hundred

200 Three.. 3 Three hundred

CUC

. 300 Four. 4 Four hundred.

400 Five. v....5 Five hundred

D or iɔt.

500 VI .6 Six hundred .

DC Or IOC

.600 Seven. en Seven hundred

... DCC or 15cc ..700 Eight VIII 8 Eight hundred

DCCC or 10CCC....

. .800 Nine.

9 Nine hundred. DCCCC or locccct.. 900 Ten X .10 One thousand. M or ciot

1000 Eleven XI 11 Two thousand.

īī 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

or 150

5000 Fifteen . . XV.. 15 Six thousand

vi or 10эм

6000 Sixteen . . XVI.

16 Seven thousand VII or 15OMM 7000 Twenty XX.. 20 Eight thousand.

VIII or 105MMM... 8000 Thirty. , xxx . 30 Nine thousand

IX or 1ɔɔMMMM Forty 40 | Ten thousand.

ã or ccroot .... 10000 Fifty.

L 50 | Twenty thousand xx or cci 5CC155. 20000 Sixty LX ..60 Fifty thousand

1 or 1535 .....

50000 Seventy . LXX. . 70 One hundred thousand.ē or ccciɔɔɔ 100000 Eighty LXXX. 80 Five hundred thousand. 7 or 19950.... 500000 Ninety . XC* . 90 | One million

M or cocciɔɔ03.1000000 Or, in for 4; viu for 9; xxxx for 40; Lxxxx for 90; and cm for 900, † Every o annexed to 15 increases its value 10 times : as 15, is 500, 100 is 5000: in like manner the prefixing of c and the annexing of 5 to cio increases it 10 times as ci), 1000, cc155, 10000; lastly a line over any number increases it 1000 times: as, D, 500, D, 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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