# Introduction to the National Arithmetic: On the Inductive System Combining the Analytic and Synthetic Methods : in which the Principles of the Science are Fully Explained and Illustrated : Designed for Common Schools and Academies

Robert S. Davis & Company, 1870 - Arithmetic - 330 pages

### Contents

 Definitions 7 United States Money 33 Division 44 Subtraction 73 COMPOUND NUMBERS 82 English Money 110 Properties of Numbers 130 COMMON FRACTIONS 140
 Partial Payments 205 Compound Interest 212 Commission Brokerage and Stocks 218 Equation of Payments 230 RATIO AND PROPORTION 237 Partnership or Company Business 254 Exchange 261 Involution 269

 Common Denominator 146 Complex Fractions 165 Numeration 174 Reduction 190 Simple Interest 196
 Arithmetical Progression 287 Geometrical Progression 294 Allegation 301 Metric System 325

### Popular passages

Page 145 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 136 - The Greatest Common Divisor .of two or more numbers is the greatest number that will divide each of them without a remainder. Thus 6 is the greatest common divisor of 12, 18, and 24.
Page 46 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 18 - Addition is the process of finding the sum of two or more numbers.
Page 284 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 98 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 285 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 277 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 189 - 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 155 - Multiplication is the process of taking one number as many times as there are units in another.