## 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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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.