## 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 ; Designed for Common Schools and Academies |

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acres added addition amount answer barrel Bought bushels called cancel cent ciphers cloth column common denominator compound containing cords cost cubic decimal denominator diameter difference discount Divide dividend division divisor dollars equal EXAMPLES FOR PRACTICE EXERCISES expressed factors feet figure five flour four fraction gain gallons gave Give given greater hand Hence hogshead hundred inches interest John land leaves length less MEASURE method miles millions mills mixed number months multiplicand Multiply nine Note obtain OPERATION paid payment pence period piece pounds principal proceed proof proportion purchase quantity quarts QUESTIONS quotient ratio reason received reduce remainder rods rule sell seven share shillings side simple sold square square root subtract tens third thousand tons units weight whole number wide worth write yards

### Popular passages

Page 257 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

Page 264 - 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 288 - Ans. 75 square feet. 2. What is the difference between the contents of two floors ; one is 37 feet long and 27 feet wide, and the other is 40 feet long and 20 feet wide ? Ans. 199 square feet.

Page 265 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.

Page 254 - 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...

Page 128 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, $, -f . A mixed number is a whole number and a fraction expressed together; as, 4f, 25-ht.

Page 199 - 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 294 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.

Page 267 - ... 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 126 - Mnltiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.