## 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 of land amount annexing answer barrels of flour Bought bushels cancel cents per pound ciphers circumference common difference composite number compound number containing cost cube root currency decimal fractions denoted diameter discount Divide the product dividend division dollars equal EXAMPLES FOR PRACTICE farthings find the interest frac gain gallons Give the reason given number greatest common divisor hogshead hundred hundredths improper fraction inches interest of $1 least common multiple leaves less lower denomination lowest terms measure miles mills minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain order or place paid payment pence prime factors proof purchase quantity quarts QUESTIONS quotient rate per cent ratio received remainder rule for finding shillings simple fraction sold solid square rods square root subtract subtrahend thousand thousandths tion tons United States money vulgar fraction weight whole number write

### Popular passages

Page 269 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

Page 277 - 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 84 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_

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

Page 306 - To find the solidity, or volume, of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity or volume.

Page 205 - ... farthings. (Art. 189.) RULE. — Reduce the shillings, pence, and farthings to the decimal of a pound, and annex it to the pounds ; then proceed as in United States money, and reduce the decimal in the result to a compound number. EXAMPLES FOR PRACTICE. 2. What is the interest of 26£ 10s. for 2 years, 4 months, at 5 per cent. ? Ans. 3£ Is.

Page 239 - If the extremes and one of the means are given the other mean may be found by dividing the product of the extremes by the given mean.

Page 270 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.

Page 239 - If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if...

Page 213 - RULE. Divide the given interest by the interest of the given principal for 1 year, and the quotient will be the answer.