Higher Arithmetic, Or, The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction : Designed for Advanced Classes in Schools and Academies |
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Page ix
... Common Divisor , two methods , 100 Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of ...
... Common Divisor , two methods , 100 Least Common Multiple , three methods , 102 SECTION VII . FRACTIONS , 107 General principles pertaining to Fractions , 109 Reduction of Fractions , 111 Addition of Fractions , 119 Subtraction of ...
Page 83
... divisor , will produce the dividend . ( Art . 112. ) If , therefore , the dividend is resolved into two such factors ... common to the dividend and divisor ; the other factor of the dividend will be the answer . Note . The term cancel ...
... divisor , will produce the dividend . ( Art . 112. ) If , therefore , the dividend is resolved into two such factors ... common to the dividend and divisor ; the other factor of the dividend will be the answer . Note . The term cancel ...
Page 84
... common both to the divisor and dividend , and 84 × 5 , the other factors of the dividend , will be the answer ... divisor and dividend , is dividing them both by the same number , and therefore does not affect the quotient . ( Arts . 146 ...
... common both to the divisor and dividend , and 84 × 5 , the other factors of the dividend , will be the answer ... divisor and dividend , is dividing them both by the same number , and therefore does not affect the quotient . ( Arts . 146 ...
Page 93
... divisor of every number must be a prime number . 21. Every prime number ... common notation by as many 9s as there are units , less one , in the prime ... common notation , by as many 1s as there are units , less one , in the prime number ...
... divisor of every number must be a prime number . 21. Every prime number ... common notation by as many 9s as there are units , less one , in the prime ... common notation , by as many 1s as there are units , less one , in the prime number ...
Page 98
... COMMON DIVISOR . 166. A common divisor of two 98 [ SECT . VI . GREATEST COMMON Greatest Common Divisor, two methods, 66.
... COMMON DIVISOR . 166. A common divisor of two 98 [ SECT . VI . GREATEST COMMON Greatest Common Divisor, two methods, 66.
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Common terms and phrases
acres amount annexed answer required Arithmetic avoirdupois bank discount barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common fraction composite number compound numbers contained cost cube decimal figures decimal places denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple mills mixed number months multiplicand Multiply number of days numerator and denominator Operation partial product payable pence period pound premium present worth prime factors prime number principal quotient rate per cent ratio reduce the given remainder rods root shillings simple fraction sold square subtract tenths thousandths Troy Troy weight units usury weight whole number wine measure yards
Popular passages
Page 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 113 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.
Page 113 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 261 - 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 263 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 270 - Finally, subtract the given principal from the last amount, and the remainder will be the compound interest.
Page 394 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.