## Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied |

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acres added addition amount annexed apples barrels bill bought bushels called cent ciphers cloth common compound contained contents cost cube cubic decimal denominator diameter difference divided dividend division divisor dollars equal EXAMPLES EXAMPLES FOR PRACTICE expressed factors farthings feet figure foot fourth fraction gain gallons Give given half hand Hence hundred inches interest length less measure method miles mills months multiplicand multiply nines NOTE OPERATION oranges paid payment pence performed pieces pounds principal proportion quantity Questions quotient ratio receive Reduce remainder Repeat rods root rule share shillings side simple sold solid SOLUTION square stars subtraction tens tenths thing third thousand tion units weight whole whole number wide worth write yards

### Popular passages

Page 130 - Thirty days hath September, April. June, and November; All the rest have thirty.one, Save February, which alone Hath twenty.eight; and one day more We add to it one year in four.

Page 248 - 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 14 - From the foregoing we deduce the following principles : — Numbers increase from right to left, and decrease from left to right, in a ten-fold ratio ; and it is A FUNDAMENT4L LAW OF THE ARABIC NOTATION ; that, Questions.

Page 254 - PROBLEM I. The first term, the last term, and the number of terms being given, to find the sum of all the terms.

Page 78 - The least common denominator of two or more fractions is the least common multiple of their denominators.

Page 37 - Two men depart from the same place, and travel in opposite directions, one at the rate of...

Page 212 - In the proportion a : b : : c : d, each of the quantities a, b, c, d, is called a term. The first and last terms are called the extremes, the second and third, the means.

Page 128 - The denominations are chaldrons, quarters, bushels, pecks, quarts, and pints. TABLE. 2 pints (pts.) make 1 quart, marked qt. 8 quarts 1 peck, " pk. 4 pecks 1 bushel, " bu. 8 bushels 1 quarter,

Page 69 - IT 66. Reduction of Fractions. Reduction of fractions is changing them from one form to another without altering their value. To reduce an improper fraction to a whole or mixed number. 1. In 4 halves (J) .of an apple how many whole apples? SOLUTION. — Since 2 halves...

Page 61 - Multiplying or dividing both dividend and divisor by the same number, does not alter the quotient.