Introduction to the National Arithmetic: On the Inductive System : Combining the Analytic and Synthetic Methods with the Cancelling System : in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner : Designed for Common Schools |
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Page 74
... continued product of 18 , 24 , 27 , and 30 , by the continued product of 20 , 21 , 9 , and 10 . STATEMENT . 18 × 24 × 27 × 30 - 20 × 21 × 9 × 10 CANCELLED . 2 6 9 3 18 × 24 × 27 × 30 20 × 21 × 9 × 10 5 7 1 1- 324 - 939 Ans . 35 17 ...
... continued product of 18 , 24 , 27 , and 30 , by the continued product of 20 , 21 , 9 , and 10 . STATEMENT . 18 × 24 × 27 × 30 - 20 × 21 × 9 × 10 CANCELLED . 2 6 9 3 18 × 24 × 27 × 30 20 × 21 × 9 × 10 5 7 1 1- 324 - 939 Ans . 35 17 ...
Page 75
... continued product of 4 , 9 , 3 , 8 , and 225 by the continued product 6 , 6 , 4 , 6 , and 11 . STATEMENT . CANCELLED . 4 × 9 × 3 × 8 × 225 = 4X9X3X8X225 6 × 6 × 4 × 6 × 11 6 × 6 × 4 × 6 × 11 225 11 2015 Ans . As the product of 4 times 9 ...
... continued product of 4 , 9 , 3 , 8 , and 225 by the continued product 6 , 6 , 4 , 6 , and 11 . STATEMENT . CANCELLED . 4 × 9 × 3 × 8 × 225 = 4X9X3X8X225 6 × 6 × 4 × 6 × 11 6 × 6 × 4 × 6 × 11 225 11 2015 Ans . As the product of 4 times 9 ...
Page 129
... continued product of the second terms by the third , and divide by the continued product of the first , and you pro- duce the answer . 2. If $ 100 gain $ 6 in 12 months , in how many months will $ 800 gain $ 32 ? Ans . 8 months . 3. If ...
... continued product of the second terms by the third , and divide by the continued product of the first , and you pro- duce the answer . 2. If $ 100 gain $ 6 in 12 months , in how many months will $ 800 gain $ 32 ? Ans . 8 months . 3. If ...
Page 131
... continued in trade , and consider each product a numerator , to be written over their sum , as a common denominator ; then multiply the whole gain or loss by each fraction , and the several pro- ducts will be the gain or loss of each ...
... continued in trade , and consider each product a numerator , to be written over their sum , as a common denominator ; then multiply the whole gain or loss by each fraction , and the several pro- ducts will be the gain or loss of each ...
Page 136
... continued multiplication into itself produces the power , and is denominated the square , cube , biquadrate , or second , third , fourth , & c . , power , equal to that power . Thus , 4 is the square root of 16 , because , 4 x4 = 16 ...
... continued multiplication into itself produces the power , and is denominated the square , cube , biquadrate , or second , third , fourth , & c . , power , equal to that power . Thus , 4 is the square root of 16 , because , 4 x4 = 16 ...
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Common terms and phrases
acres of land amount annexed answer apples barrels of flour Bought bushels ciphers circumference common denominator compound interest contains cords of wood cost cube root decimal diameter dividend divisor Duodecillions equal farthings feet long feet wide figure following RULE furlongs gain gallons given number Greenleaf's Arithmetic GREENLEAF'S NATIONAL ARITHMETIC Hence the following hogshead hundred dollars hundred weight improper fractions integer John least common multiple less lowest denomination lowest terms miles Minuend mixed number molasses months multiplicand Multiply NOTE ounces paid payment pence performing this question pounds principal pupil quantity quarts quotient Reduce remainder remains due Required the interest right hand Samuel Section Sept Sextillions shillings simple fractions sold square feet square rods square root subtract subtrahend teachers third term thousand thousandths tion tons TROY WEIGHT units VULGAR FRACTIONS whole number write yards of cloth
Popular passages
Page 24 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 133 - Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...
Page 140 - CUBE is any number multiplied by its square. To extract the cube root, is to find a number which, being multiplied into its square, shall produce the given number. RULE.
Page 79 - To find the value of a fraction in the known parts of the integer, as of coin, weight, measure, fyc.
Page 77 - Or, multiply each numerator into all the denominators except its own for a new numerator ; and all the denominators into each other for a common denominator.
Page 26 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Page 120 - RULE.—Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the equated time.* • , EXAMPLES.
Page 142 - ... under the last ; under all, set the cube of the last quotient figure, and call their sum the subtrahend. 7. Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before, and so on, till the whole is completed. NOTE 1 . The same rule must be observed for continuing the operation, and pointing for decimals, as in the square root.
Page 91 - 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 numerator; under this sum write the denominator.