An Elementary Arithmetic: Designed for Academies and Schools : Also, Serving as an Introduction to the Higher Arithmetic |
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Page 49
... COMMON FRACTIONS , AND DECIMAL FRACTIONS . YULGAR FRACTIONS . 31. Vulgar fractions consist of two distinct parts or ... denominator . E The num The denom . inator shows how many parts the unit is divided into FOUR GROUND RULES . 49 ...
... COMMON FRACTIONS , AND DECIMAL FRACTIONS . YULGAR FRACTIONS . 31. Vulgar fractions consist of two distinct parts or ... denominator . E The num The denom . inator shows how many parts the unit is divided into FOUR GROUND RULES . 49 ...
Page 102
... denominator by any number , is the same as dividing the value of the fraction by the same number . III . That ... COMMON DIVISOR . 69. The greatest common divisor of two or more num- bers , is the greatest number which will divide them ...
... denominator by any number , is the same as dividing the value of the fraction by the same number . III . That ... COMMON DIVISOR . 69. The greatest common divisor of two or more num- bers , is the greatest number which will divide them ...
Page 105
... common divisor of 12 and 906 , and consequently of the three numbers 492 , 744 , and 906 . 3. What is the greatest ... denominator of a fraction by any num- ber without altering its value . If we divide by the great- est common divisor ...
... common divisor of 12 and 906 , and consequently of the three numbers 492 , 744 , and 906 . 3. What is the greatest ... denominator of a fraction by any num- ber without altering its value . If we divide by the great- est common divisor ...
Page 106
... denominator with- out a remainder . When this is the case , we need not resort to the rule for obtaining the greatest common meas- ure , until we have divided by such factors . 11. Reduce 5184 to its lowest terms . 6912 ÷ 4 ÷ 4 ÷ 4 333 ...
... denominator with- out a remainder . When this is the case , we need not resort to the rule for obtaining the greatest common meas- ure , until we have divided by such factors . 11. Reduce 5184 to its lowest terms . 6912 ÷ 4 ÷ 4 ÷ 4 333 ...
Page 108
... denominators together for a new denominator ; always observing to reject or cancel such factors as are common to the numerators and denominators , which is the same as divi- ding both numerator and denominator by the same quantity , and ...
... denominators together for a new denominator ; always observing to reject or cancel such factors as are common to the numerators and denominators , which is the same as divi- ding both numerator and denominator by the same quantity , and ...
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Common terms and phrases
1st column acres amount annexing arithmetical progression barrels Bought bushels called cancelling carats cents per pound ciphers coined common difference contained cords cost cube root currency DECIMAL FRACTIONS decimal places decimal point denominate numbers denominate value different denominations dimes discount Divide dividend division dollars equal equivalent fractions EXAMPLES expressed factors farthings Federal money foot geometrical progression give given greatest common divisor Hence hogsheads hundred hundredths improper fraction interest of $1 last term least common denominator least common multiple less lowest terms MEASURE method miles Millions mills minuend mixed number multiplicand number of decimal number of terms obtain OPERATION ounces payment pence present worth principal proceed quantities quotient rate per cent ratio Reduce remainder Repeat the Rule rods second term Septillions shillings simple value square root subtract subtrahend Tens tenths third term Thousands Thousandths trial divisor Troy Weight unit vulgar fraction weight whole number wTens
Popular passages
Page 77 - 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 38 - 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 166 - Multiply the interest of $1 for the given time and given rate per cent., by the number of dollars in the principal.
Page 57 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 108 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Page 161 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal ; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Page 78 - TABLE. 60 seconds (") make 1 minute,...'. 60 minutes " 1 degree, . . . °. 30 degrees " 1 sign S. 12 signs, or 360°,
Page 161 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 195 - To raise a number to any power, we have the following RULE. Multiply the number continually by itself, as many times less one as there are units in the exponent ; the last product will be the power sought.
Page 94 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down what remains.