# Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of Instruction: Also, Illustrating the Principles of Cancelation. For Schools and Academies

Durrie & Peck, 1846 - 336 sider

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### Innhold

 Division Mental Exercises 69 Short Division 78 General principles in Division 86 Least common Multiple 93 Reduction of Fractions 104 Least common Denominator 110 Multiplication of Fractions 116 Division of Fractions 124 Cancelation applied to Multiplication of Complex Fractions 130 The standard unit of Length of the United States 137 REDUCTION 145 To find the solidity of boxes wood c 151 Compound Addition 157 Compound Division 165
 Gompound Interest 232 Bank Discount 238 DUTIEs 252 Definition of Arithmetical terms 261 SECTION XI 269 g Barter Ex 5160 278 Ditto g g Compd Proportion Ex 101106284 284 PROPoRTION 290 Compound Proportion or Double Rule of Three 299 SECTION XIV 306 Square Root 313 Demonstration of Cube Root by Cubical Blocks 391 320 Partnership or Fellowship 327 Promiscuous Examples 334

### Populćre avsnitt

Side 318 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Side 214 - What part of a year is 1 month ? 2 months ? 3 months ? 4 months ? 5 months ? 6 months ? 7 months? 8 months? 9 months? 10 months? 11 months ? 105.
Side 315 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Side 225 - 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.
Side 225 - 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.
Side 73 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Side 178 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Side 135 - Weight is used in weighing groceries ana all coarse articles ; as, sugar, tea, coffee, butter, cheese, flour, hay; &c., and all metals except gold and silver. 16 drams (dr.) make 1 ounce, marked oz. 16 ounces " 1 pound, " Ib. 25 pounds " 1 quarter, " qr. 4 quarters, or 100 Ibs. " 1 hundred weight, " cwt. 20 hundred weight " 1 ton,
Side 223 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Side 106 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction : to the product add the given numerator. The sum placed over the given denominator, will form the improper fraction required.