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

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acres amount answer Balance barrel bill body Boston Bought breadth bushels called cash cents Change circle cloth common compound contain continued cords cost cube decimal denominator diameter difference distance Divide dividend division divisor dollars equal EXAMPLES exchange feet feet long figure flour following RULE foot fraction gain gallons give given half hand Hence hogshead hundred inches interest John June length less measure merchant miles mixed months Multiply NOTE OPERATION paid payment pence perform piece pound pound cost present principal PROBLEM proportion quantity quarters question quotient ratio received Reduce remainder rods root RULE share shillings side sold square subtract sugar Sundries third thousand tons United week weight whole wide wine worth write yards

### Popular passages

Page 182 - Find the greatest square number in the first, or left hand period' place the root of it at the right hand of the given number, (after the manner of a quotient in division) for the first figure of the root, and the square...

Page 127 - 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 11 - 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 234 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 123 - 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 the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...

Page 238 - 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 127 - 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 year; add it to the sum paid, and deduct that sum from the principal and interest added together.

Page 187 - RULE. 1. Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure from the place of units to the left, and if there be decimals, to the right.

Page 87 - RULE. — Multiply the whole number by the denominator of the fraction, and divide the product by the numerator.