Introduction to the National Arithmetic: On the Inductive System : Combining the Analytic and Synthetic Methods with the Cancelling System ... : Designed for Common Schools

Robert S. Davis, and Gould, Kendall, & Lincoln, 1846 - Arithmetic - 196 pages

Contents

 Compound Addition 49 Compound Subtraction 51 Exercises in Compound Addition and Subtraction 53 Reduction 13 Reduction Descending 57 Reduction Ascending 60 Miscellaneous 61 Compound Multiplication 65 Compound Division 69 Bills 73 Fractions 83 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
 Insurance and Policies 129 Stocks 38 Banking 130 Compound Interest 133 Equation of Payments 135 Proportion 139 Compound Proportion 143 Company Business 118 124 145 Double Fellowship 146 Duodecimals 148 Involution 150 Evolution or the Extraction of Roots 151 Extraction of the Cube Root 156 Geometrical Problems 159 Miscellaneous Questions 165 APPENDIX Cancelling Method 173 SUPPLEMENT 185 173 194

Popular passages

Page 41 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 135 - ... what is the equated time of payment ? Ans. 8mo. 22^fda. 4. A owes B \$600 ; one-third is to be paid in 6 months, one- fourth in 8 months, and the remainder in 12 months : what is the mean time of payment ? Ans.
Page 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
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 - ... 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 80 - 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 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 41 - 1 Sign, ... " s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac. 1. How many seconds in 2 minutes ? In 3 minutes ? In 4 minutes ? In 6 minutes ? 2. How many seconds in 3 minutes and 1 second ? 3.
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 86 - Or, multiply each numerator into all the denominators except its own for a new numerator ; and all the denominators into each other for a common denominator.