## The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods, Together with the Cancelling System; Forming a Complete Mercantile Arithmetic |

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acres amount answer Arithmetic barrels beam bill body Bought breadth bushels called cent Change circle circumference cloth common compound contain continued cords cost cube cubic decimal denominator diameter difference distance Divide dividend division divisor dollars equal EXAMPLES exchange extremes feet long figure foot four fourth fraction gain gallons give given half hand hogshead hundred inches interest June length less loss lost measure method miles mixed months Multiply Note number of terms obtained OPERATION paid payment perform person pounds present principal PROBLEM proportion purchase quantity question quotient ratio received Reduce remainder result rods root RULE sell share shillings side simple sold square subtract Suppose taken third thousand tons United week weight whole wide wine worth write yards

### Popular passages

Page 92 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...

Page 243 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 239 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 176 - 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, til! all the payments are absorbed ; provided the time between one payment and another be one year or more.

Page 176 - But if any payments 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...

Page 124 - 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 248 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.

Page 293 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 284 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...

Page 33 - Cut off the ciphers from the divisor, and the same number of figures from the right of the dividend. Then divide the remaining figures of the dividend by the remaining figures of the divisor.