# Practical Arithmetic: Embracing the Science and Applications of Numbers

Barnes & Burr, 1863 - Arithmetic - 336 pages
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### Contents

 Definitions 9 Addition of Simple Numbers 22 Applications in Addition 30 Applications in Subtraction 37 Composite NumbersFactors 47 Division of Simple Numbers 54 Proof of Multiplication 62 PROPERTIES OF NUMBERS 72
 DENOMINATE FRACTIONS 172 Addition of Compound Numbers 178 Time between Dates 185 Applications 193 Addition and Subtraction 199 Simple Proportion 205 Double Rule of Three 213 Percentage 219

 Greatest Common Divisor 79 Properties of Fractions 85 Addition of Fractions 98 Division of Fractions 107 Definition of Decimal Fractions 114 Subtraction of Decimals 122 Applications in the Four Rules 128 Division of United States Currency 138 DENOMINATE NUMBERS 147 Surveyors Measure 153 Liquid Measure 159 Measure of Time 165
 Profit and Loss 227 Interest 235 Partial Payments 241 Discount 248 Equation of Payments 257 Customhouse Business 264 ALLIGATION ALTERNATE 276 Applications in Square Root 286 ARITHMETICAL PROGRESSION 294 MENSURATION 302 To find the contents of a Pyramid 308

### Popular passages

Page 166 - The circumference of every circle is supposed to be divided into 360 equal...
Page 125 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 165 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 126 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 94 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 109 - At f| of a dollar a yard, how many yards of cloth can be bought lor 9 dollars ? 6.
Page 281 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 270 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.
Page 302 - A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre. The bounding line is called the circumference of the circle.
Page 304 - To find the solid contents of a prism. Rule. — Multiply the area of the base by the altitude, and the product will be the contents.