# Introduction to the National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods

R.S. Davis & Company, 1871 - Arithmetic - 330 pages

### Contents

 Notation 7 English Numeration Table 14 United States Money 69 Reduction 82 Cloth Measure 89 Cubic or Solid Measure 96 Miscellaneous Exercises 119 Properties of Numbers 130
 Numeration 174 DECIMAL FRACTIONS 181 Common Denominator 182 Percentage 194 Partial Payments 205 Compound Interest 212 Banking 221 Compound Proportion 237

 Common Fractions 156 Complex Fractions 165 Reduction 170
 CURRENCIES 258 DUODECIMALS 266 MISCELLANEOUS 287

### Popular passages

Page 158 - Now, to obtain | of �, we simply multiply the numerators together for a new numerator, and the denominators together for a new denominator (Art.
Page 46 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 145 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
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 69 - The units or denominations of United States money increase from right to left, and decrease from left to right, in the same manner as do the units of the several orders in simple numbers ; and may, therefore, be added, subtracted, multiplied, and divided in like manner as simple numbers.
Page 283 - 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 209 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due, to the next payment, and then deduct the payment as above ; and in like manner from one payment to another till ail the payments are absorbed; provided the time between one payment and another be one year or more.
Page 143 - Multiply the whole number by the denominator of the fraction, and to the product add the numerator, and place the sum over the given denominator. NOTE. — To reduce a whole number to a fraction of the same value, having a given denominator, we multiply the whole number by...
Page 275 - 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.