## The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Forming a Complete Course of Higher Arithmetic |

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25 per cent acres amount annexed annuity Arithmetic Avoirdupois barrels becomes due bill bought bushels carats cask ciphers circumference column common denominator common fraction composite number compound interest compound numbers contain continued fraction cost cube root diameter discount dividend division dollars duodecimal equal exactly divide EXAMPLES expressed decimally feet long figure gain gallons given number grains greatest common divisor Hence hogshead hundred improper fraction inches last term least common multiple longitude lowest terms measure miles minuend mixed number months multiplicand Multiply NOTE number denoting number of days number of terms obtain paid payable payment pounds premium present worth prime factors prime number principal proportion quantity quotient rate per cent ratio received Reduce remainder repetend rods RULE SECOND OPERATION shillings side simple numbers sold square root subtract subtrahend tens third thousand tons weight whole number wine write yards

### Popular passages

Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.

Page 276 - 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 13 - ARITHMETIC is the science of numbers and the art of computing by them.

Page 204 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.

Page 382 - ... 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 341 - ... ad valorem. A Specific Duty is 'a certain sum paid on a ton, hundred weight, yard, gallon, &c.

Page 44 - ... divided into four equal parts, one of the parts is called one fourth, two of the parts two fourths, three of the parts three fourths ; etc.

Page 102 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...

Page 44 - When the dividend does not contain the divisor an exact number of times, the excess is called a remainder, and may be regarded as a fourth term in the division. When the dividend consists of a single denomination, the process is termed Division of Simple Numbers. 67.

Page 208 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.