# 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

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### Contents

 Definitions 7 English Numeration Table 14 UNITED STATES MONEY 69 COMPOUND NUMBERS 82 Cloth Measure 89 Cubic or Solid Measure 96 Measure of Time 102 Addition 110
 Multiplication 165 Greatest Common Divisor 167 Numeration 182 Division 188 PERCENTAGE 194 Partial Payments 205 Compound Interest 212 Ratio 237

 Miscellaneous Exercises 119 Division 125 Addition 148 Division 160
 Government Securities 258 Addition and Subtraction 266 Geometrical Progression 294 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.