# Introduction to The National Arithmetic: On the Inductive System : Combining the Analytic and Synthetic Methods with the Cancelling System in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner : Designed for Common Schools

Robert S. Davis, and Gould, Kendall, & Lincoln, 1847 - Arithmetic - 196 pages

### Contents

 Addition 15 Subtraction 21 Multiplication 25 Division 31 Application of the preceding Rules 35 Tables of Money Weights and Measures 36 United States Money 43 Compound Addition 49
 Exercises in Decimals 117 Simple Interest 119 Partial Payments 126 Commission and Brokerage 128 Insurance and Policies 129 Stocks 38 Banking 130 Discount 131 Compound Interest 133

 Compound Subtraction 51 Exercises in Compound Addition and Subtraction 53 Reduction 13 Reduction Descending 57 Reduction Ascending 15 60 Miscellaneous 61 Compound Multiplication 65 Compound Division 69 Bills 73 Fractions 84 Vulgar Fractions 91 Addition of Vulgar Fractions 92 Subtraction of Vulgar Fractions 94 Multiplication of Vulgar Fractions 98 Division of Vulgar Fractions 102 Exercises in Vulgar Fractions 106 Decimal Fractions 108 Addition of Decimals 109 Subtraction of Decimals 110 Multiplication of Decimals 111 Division of Decimals 113 Reduction of Decimals 114
 Equation of Payments 135 Proportion 139 Compound Proportion 143 Company Business 145 Double Fellowship 147 Duodecimals 148 Involution 150 Evolution or the Extraction of Roots 151 Extraction of the Cube Root 156 Geometrical Problems 161 Miscellaneous Questions 165 APPENDIX Cancelling Method SUPPLEMENT 166 42 168 53 169 67 170 114 171 117 179 129 184 137 190 151 191 165 194

### Popular passages

Page 153 - ... hand of the, given number, (after the manner of a quotient in division,) for the first figure of the root, and the square...
Page 31 - 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 126 - COMPUTE the interest on the principal sum from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due : add that interest to the principal, and from...
Page 135 - ... in 12 months ; what is the equated time for the payment of the whole sum ? Ans.
Page 33 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Page 156 - CUBE is any number multiplied by its square. To extract the cube root, is to find a number which, being multiplied into its square, shall produce the given number. RULE.
Page 7 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 76 - Numerator shows how many of those parts are taken. 1. A proper fraction is one whose numerator is less than the denominator , as f . 2.
Page 104 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 41 - CIRCULAR MOTION. 60 Seconds .... make 1 Minute, . . . marked '. 60 Minutes. ..." 1 Degree, ..." °. 30 Degrees . . . . " 1 Sign, ..." s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac.