# The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged in Its Natural Order: Being Adapted to Assist the Teacher in Training Pupils of All Ages to Habits of Strict and Careful Analysis

D.H. Cruttenden, 1853 - Arithmetic - 316 pages

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### Contents

 CHAPTER I 9 Addition 15 Contractions in 26 Contractions Cancellation 34 Composite and Prime Num 43 Measures Common 59 Cancellation in Multiplica 66 CHAPTER II 72
 To Multiply Compound 164 To Divide Compound Num 175 Reduction of Currencies 181 Forms of Bills Accounts 200 Simple Proportion 207 Conjoined Proportion 216 CHAPTER V 224 To find Required Root 231

 Common Denominator 78 Multiplication of Fractions 84 Miscellaneous Examples in 92 gar Fractions 104 CHAPTER III 118 Measures 126 Reduction of Compound 136 Change Compound Num 144 By Inspection of do PAGE 150 To Add Compound Num 157 To Change Decimal Frac 158
 Roots of Fractions 237 Progressions of Series 244 CHAPTER 254 CustomHouse Business 260 Insurance 267 On Notes and Bonds 276 Banking 283 Loss and Gain 291 Equation of Payments 297 Permutation 305

### Popular passages

Page 275 - 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 all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 275 - But if any payment be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest added as above.
Page 131 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 132 - M. 60 minutes, 1 hour, h. 24 hours, 1 day, d. 7 days, . 1 week, w. 4 weeks, 1 month, mo. 13 months, 1 day and 6 hours, 1 Julian year, yr. Thirty days hath September, April, June and November ; February twenty-eight alone, all the rest have thirtyone.
Page 275 - ... then compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year : add it to the sum paid, and deduct that sum from the principal and interest added as above...
Page 126 - SQUARE MEASURE. 144 square inches (sq. in.) make 1 square foot, sq. ft. 9 square feet " 1 square yard, sq. yd. 30| square yards " 1 square rod, P. 40 square rods
Page 132 - Thirty days hath September, April, June, and November; February twenty-eight alone, All the rest have thirty-one; Except in Leap year, then is the time, When February has twenty-nine.
Page 82 - Divide the denominator of the fraction by the whole number, when it can be done without a remainder.
Page 122 - APOTHECARIES' WEIGHT. 20 grains (gr) . 1 scruple (3) 3 scruples 1 dram (3) 8 drams 1 ounce ( 5 ) 12 ounces .... 1 pound (fit)) Apothecaries' weight is used in prescriptions. Drugs are bought and sold by avoirdupois weight. The grain, the ounce, and the pound apothecaries' weight are the same as the corresponding denominations of troy weight.
Page 240 - I. Divide the coefficient of the dividend by the coefficient of the divisor.