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PRACTICAL AND THEORETICAL,

IN FIVE PARTS.
CONTAINING,

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1. Arithmetic in whole Numbers,

wherein all the common rules, having each of them a sufficient Number of Questions, with their answers, are methodically

and briefly handled. II. Vulgar Fractions, wherein se

veral Things, not commonly met with, are distinctly treated of and laid down in the most plain

and easy manner. IJI. Decimals, in which, among

other Things, are considered the Extraction of Roots ; Interests, both simple and compound ; Agnuities, Rebate and Equatiun of Payments.

IV. A large collection of Ques

tions with their Answers, serv. ing to exercise the foregoing Rules, together with

few others, both pleasant and di

verting. V. Duodecimals, commonly cal

led Cross Multiplication ; wherein that sort of Arithmetic is thoroughly considered, and rendered very plain and easy, together with the Method of proving all the foregoing operations at once, by Division of several Denominations without Reduce ing them into the lowest Terms mentioned.

The whole being delivered in the most familiar way of Question and An

swer, is recommended by several eminent Mathematicians, Accomptants, and Schoolmasters, as necessary to be used in Schools by all teachers, who would have their Scholars thoroughly understand, and make a quick progress in Arithmetick.

TO WHICH IS PREFIXED,

AN ESSAY
ON THE EDUCATION OF YOUTH ;

HUMBLY OFFERED TO THE CONSIDERATION OF

PARENTS.

'BY THOMAS DILWORTH. Author of the New Guide to the English Tongue, Young Bookkeeper's

Assistant, &c.

NEW YORK :
PRINTED BY J. F. SIBELL.

QA 35 ,05815 1825

TAE

PEFACE DEDICATORY.

TO THE REVEREND AND WORTHY

SCHOOL MASTERS

IN GREAT BRITAIN AND IRELAND:

GENTLEMEN,

12-16-400HRS

AFTER returning you my most hearty thanks for your kind acceptance of my New Guide to the English Tongue, permit me to lay before you the foilowing pages, which are intended as an help towards a more speedy improvement of your scholars in Numbers, and at the same time, to take off that heavy burden of writing out of rules and questions, which you have so long laboured under.

I need not, I presume, say any thing concerning the usefuluess of, and advantages that accrue to mankind in general, fronı Arithmetic, since they are, by this time, pretty well known, and also deserve the employment of a much better pen than mine can pretend to be; but I will venture to say thus much, and I helieve you will pardon me for it, that this (by putting one into each arithmetician's hand) will not only prove a kind assistant to you, but upon trial be found at once, both to delight and improve the minds of those who are committed to your care.

I have gone through all the parts of arithmetic, commonly taught in schools, and have included several others no less useful, and though I have given more questions to work upon in each rule, (which was absolutely necessary; none having yet calculated in their performances of this kind, for the ose of school-boys) I have endeavoured at the same time to reduce the whole, to as neat and portable a volume as any that have gone before me.

I must confess, I do not propose hy this, to add to any master's knowledge in arithmetic, who, I imagine, is already acquainted with every thing contained in this compendium ; for which reason it is reduced to the narrow compass it 110w appears in without particular directions for the working the operations at large, and therefore I conceive here is room enough left for every man to speak his own mind, and instruct his pupils in his own method. And I be,

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