Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied : Illustrated by Copious Examples |
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Page iv
... given the work so great popularity , are too well known to require any notice here . These , it is believed , will be found in the new work in an improved form . One of the peculiar characteristics of the new work is a more natural and ...
... given the work so great popularity , are too well known to require any notice here . These , it is believed , will be found in the new work in an improved form . One of the peculiar characteristics of the new work is a more natural and ...
Page v
... given in the book which they have ever used , and their attention only needed to have been called to the explanation . Then let teachers make themselves , in the first place , thoroughly acquainted with arithmetic . The idea that they ...
... given in the book which they have ever used , and their attention only needed to have been called to the explanation . Then let teachers make themselves , in the first place , thoroughly acquainted with arithmetic . The idea that they ...
Page viii
... Given , price of unity , the quantity , to find the price of quantity , 175 148 To reduce a fraction of a lower to a higher denomination Given , quantity , price of quantity , to find the price of unity , . 175 148 • 149 151 153 bers ...
... Given , price of unity , the quantity , to find the price of quantity , 175 148 To reduce a fraction of a lower to a higher denomination Given , quantity , price of quantity , to find the price of unity , . 175 148 • 149 151 153 bers ...
Page 20
... given , we derive the following RULE . I. Write the numbers to be added , one under another , plac- — Questions . 13. If the amount of the column does not exceed 9 , what do you do ? What when it exceeds 9 ? How do you add each column ...
... given , we derive the following RULE . I. Write the numbers to be added , one under another , plac- — Questions . 13. If the amount of the column does not exceed 9 , what do you do ? What when it exceeds 9 ? How do you add each column ...
Page 28
... given , we deduce the following RULE . I. Write down the numbers , the less under the greater , placing units under units , tens under tens , & c . , and draw a line under them . II . Beginning with units , take successively each figure ...
... given , we deduce the following RULE . I. Write down the numbers , the less under the greater , placing units under units , tens under tens , & c . , and draw a line under them . II . Beginning with units , take successively each figure ...
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Common terms and phrases
acres amount annexing apples arithmetic bought bushels called ciphers common fractions composite number compound interest Compound Numbers contained cord cost cube root cubic decimal fractions diameter divided dividend division dollars equal EXAMPLES FOR PRACTICE expressed factor farthings feet long figure frac gallons Give given number greatest common divisor Hence hogshead hundred hundredths improper fraction inches integers last term length measure merchant miles mills minuend mixed number months multiplicand multiply NOTE number of terms OPERATION oranges paid payment pence pieces pound present worth principal proper fraction proportion pupil quantity quarts Questions Questions.-T quotient rate per cent ratio receive Reduce remainder right hand rule shillings side sold solid feet SOLUTION square miles square root subtraction subtrahend tens tenths third thousandths tion units weight whole number write
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?