## Introduction to the national arithmetic, on the inductive system: combining the analytic and synthetic methods; in which the principles of the science are fully explained and illustrated (Google eBook) |

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annexed barrels of flour bill Bought bushels called ciphers circumference column common denominator common difference common fraction composite number compound interest compound numbers containing cords cost cube root cubic feet currency decimal diameter discount Divide the product dividend division dollars equal EXAMPLES FOR PRACTICE farthings figure frustum gain gallons given number given sum greatest common divisor Hence hogshead hundred improper fraction inches interest of $1 least common multiple leaves less miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain OPERATION paid payment pence present worth prime factors principal purchase quantity quarts QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding shillings side simple fraction simple numbers sold solid square feet square rods square root subtract subtrahend thousand thousandths timea tons United States money weight whole number write yards

### Popular passages

Page 145 - RULE. —- Multiply all the numerators together for a new numerator, and all the denominators for a new denominator, NOTE 1.

Page 158 - RULE. — Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 277 - In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram.

Page 8 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...

Page 155 - Multiplication is the process of taking one number as many times as there are units in another.

Page 283 - Find the greatest cube in the left-hand period, and place its root on the right.

Page 209 - 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...

Page 287 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.

Page 136 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.

Page 209 - 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.

### References from web pages

Collection of Early American Mathematics Books

Main Title TM: Introduction to the National arithmetic : on the inductive system, combining the analytic and synthetic methods ... / by Benjamin Greenleaf. ...

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