# 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

Robert S. Davis & Company, 1876 - Arithmetic - 330 pages

### Contents

 Definitions 7 Division 44 UNITED STATES MONEY 69 COMPOUND NUMBERS 82 Surface or Square Measure 113 Properties of Numbers 130 Common Fractions 140 Common Denominator 146
 Compound Interest 212 Commission Brokerage and Stocks 218 Equation of Payments 230 RATIO AND PROPORTION 237 148 252 Partnership or Company Business 254 Currencies 262 INVOLUTION AND EVOLUTION 269

 Complex Fractions 165 COMMON FRACTIONS 168 Reduction of Fractions of Com 175 Numeration 182 Percentage 194 Partial Payments 205
 MISCELLANEOUS 287 155 288 Geometrical Progression 294 Allegation 315 Allegation Medial 324

### Popular passages

Page 145 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 98 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 46 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 143 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 46 - It shows that the number before it is to be divided by the number after it Thus 6 -i- 2 = 3 is read, 6 divided by 2 is equal to 3.
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 56 - RULE. — Cut off• the ciphers from the divisor, and the same number of figures from the right of the dividend. Then divide the remaining figures of the dividend by the remaining figures of the divisor. 57. How do you divide by 10?
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.