## Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied : Illustrated by Copious Examples |

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acres added addition amount annexing apples barrels bills 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 greater hand Hence hundred inches interest length less measure method miles mills minutes months multiplicand multiply Note OPERATION oranges paid payment pence performed pieces pound principal proportion quantity Questions quotient ratio receive Reduce remainder Repeat rods root rule share shillings side simple sold solid SOLUTION square subtraction tens tenths thing third thousand tion units weight whole number wide worth write yards

### Popular passages

Page 146 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 196 - What is the interest of $216'80, at 7 per cent., for 1 month ? for 2 months ? 3 mo. ? 4 mo. ? 5 mo. ? 6 mo. ? 7 mo. ? 8 mo. ? 9 mo.? 10 mo. ? 11 mo.

Page 287 - The first term, ratio , and number of terms given to find the sum of the series. 1. A lady bought 6 yards of silk, agreeing to pay 5 cents for the first yard, 15 for the second, and so on, increasing in a three fold proportion ; what did the whole cost ? SOLUTION.

Page 49 - The number to be divided is called the dividend. The number by which we divide is called the divisor. The number which shows how many times the divisor is contained in the dividend is called the quotient.

Page 236 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 60 - Multiply the last remainder by the first divisor, and to the product add the first remainder ; the sum will be the true remainder.

Page 55 - Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right.

Page 147 - TABLE. 60 seconds (") - make - 1 minute, - marked - ' 60 minutes ----- 1 degree, - - - - - ° 30 degrees ,----- 1 sign, ------ s. 12 signs, or 360 degrees, - 1 circle of the zodiac. Note. Every circle, whether great or small, is divisible into 360 equal parts, called degrees. 71. Reduce 9s. 13° 25

Page 84 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 83 - 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?