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
... 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 Fractions ...
... 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 Fractions ...
Page 18
... divisor under the dividend , in the form of a fraction . Thus , the expression 35 , shows that 35 is to be divided by 7 , and is equivalent to 35- ÷ 7 . 26. The equality between two numbers or quantities , is rep- resented by two ...
... divisor under the dividend , in the form of a fraction . Thus , the expression 35 , shows that 35 is to be divided by 7 , and is equivalent to 35- ÷ 7 . 26. The equality between two numbers or quantities , is rep- resented by two ...
Page 66
... divisor . The number obtained by division , or the answer to the question , is called the quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which ...
... divisor . The number obtained by division , or the answer to the question , is called the quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which ...
Page 67
... divisor ; for , if it were equal to , or greater than the divisor , the divisor could be contained once more in the dividend . 114. It will be perceived that division is similar in principle to subtraction , and may be performed by it ...
... divisor ; for , if it were equal to , or greater than the divisor , the divisor could be contained once more in the dividend . 114. It will be perceived that division is similar in principle to subtraction , and may be performed by it ...
Page 68
... divisor 4 , is not contained in 2 , the first figure of the dividend , we find how many times it is contained in the ... divisor thus , place it on the right of the quotient . Note . To prefix means to place before , or at the left hand ...
... divisor 4 , is not contained in 2 , the first figure of the dividend , we find how many times it is contained in the ... divisor thus , place it on the right of the quotient . Note . To prefix means to place before , or at the left hand ...
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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.