## Concise Decimal Tables for Facilitating Arithmetical Calculations by the Use of which Many Problems in Mensuration are Made Perfectly Easy |

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8ths according added annexed answer arithmetic avoirdupois ounces bodies bushels cast-iron cent circle circular inches circumference CLAXTON column of water construct contain copies cube cubic feet cubic inches cylinder cyphers decimal fraction decimal places decimal point DECIMAL TABLES denominator difference District divided dividend dollars equal equal in area example express feet high feet long figure Find the side Find the weight galls given number globe hollow cylinder hundredths inches diameter increase inside iron key table lead left hand length look mark mean MEASURES mercury method Multiply nearly necessary nine period pipe places pounds sterling PRACTICAL prefixing pressure proportion quotient ratio Reduce right hand Rule side solid contents solid cylinder square foot square inch square of diameter stand supplied surface taken tenths thickness thought thousandths top line troy ounces unit whole numbers wine gallons wrought-iron

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Page 10 - RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought. EXAMPLES. 1. Reduce V to its equivalent number. 3)12(4 Answer. 12 2. Reduce y to its equivalent number. 7)15(2| Answer. 1 ^ to its equivalent number An?.

Page 10 - Annex cyphers to the numerator, and divide by the denominator ; and the quotient will be the decimal required.

Page 10 - ... whole numbers ; then point off as many places of the product for decimals as there are decimals in both factors ; but if the product does not consist of as many places, supply the deficiency by prefixing ciphers. Multiply 6.25 1.50 1.625 by .25 .75 .037 3125 750 11375 1250 1050 4875 Ans. 1.5625 1.1250 .060125 Division of Decimals. RULE 1. — Proceed as in division of whole numbers ; then point off as many places of the quotient for decimals as the dividend has decimal places more than the divisor....

Page 10 - ... decimals, as the decimal places in the dividend exceed those in the divisor. " 2. If the places of the quotient be not so many as the rule requires, supply the defect by prefixing cyphers to the left hand. " 3. If at any time there be a remainder, or the decimal places in the divisor be more than those in the dividend, cyphers may be annexed to the dividend or to the remainder, and the quotient carried on to any degree of exactness.

Page 8 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.

Page 6 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 10 - Multiplication of Decimals. RULE. — Proceed as in multiplication of whole numbers ; then point off as many places of the product for decimals as there are decimals in both factors ; but if the product does not consist of as many places, supply the deficiency by prefixing ciphers.

Page 10 - I ; -jig- divided into 10,000 parts, 625 ten thousandths = ^. Hence the necessity of the unit being divided into very small parts in order to express some fractions. There are fractions which cannot be expressed exactly by the decimal scale. Many instruments are divided decimally, for when dimensions are taken by a decimal scale there is no difficulty in expressing the fractions accurately. Decimal fractions are of such a nature, that they vary in the same proportion, and are governed by the same...

Page 6 - MASSACHUSETTS, to wit: District Clerk's Office. BE IT REMEMBERED, That on the twentieth day of November, AD 1829, in the fifty-fourth year of the Independence of the United States of America, LINCOLN &.

Page 15 - To find the side of the largest square that can be inscribed in a circle of a given diameter or circumference. Multiply the given diameter by .707106. Or, Multiply the given circumference by .225079. NOTE. — To find the circumference of a circle required to exactly admit a square of a given side, divide the given side by .225079.