## Introduction to The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods with the Cancelling System; in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner. Designed for Common Schools |

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acres added addition amount answer barrel base bill Bought bushels called cent ciphers circle column common common denominator common divisor compound containing cords cost cube cubic decimal denominator diameter difference discount Divide dividend division divisor dollars equal EXAMPLES FOR PRACTICE expressed extremes factors feet figure five flour four fraction gain gallons Give given Hence hundred inches interest land leaves length less loss measure method miles mills mixed number months Multiply nine NOTE obtain OPERATION paid payment period pounds prime principal proof proportion purchase quantity QUESTIONS quotient ratio reason received Reduce remainder rods rule rule for finding sell seven shillings side simple sold solid square square root subtract tens third thousand tons units weight whole number worth write yards

### Popular passages

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

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

Page 277 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

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.

Page 285 - SPHERE is a solid bounded by one continued convex surface, every part of which is equally distant from a point within, called the centre.

Page 17 - Addition is the process of finding the sum of two or more numbers.

Page 284 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.

Page 187 - 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 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 297 - If the first term is 18, the ratio 1.06, and the number of terms 4, what is the sum of the series ? Ans.