## 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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### Common terms and phrases

Academy acres adapted amount Arithme barrels of flour BENJAMIN GREENLEAF Bought bushels CANCELLED cents per lb common denominator common schools compound contains cords of wood cost cube root decimal diameter Divide dividend divisor Duodecillions English equal examined EXERCISES farthings feet long feet wide figure Fisk's Greek following RULE gain gallons given number Grammar Greenleaf's Arithmetic Greenleaf's National Arithmetic Hence the following hogshead hundred dollars improper fractions improved stereotype edition Introduction John least common multiple less lowest terms Mental Arithmetic miles Minuend mixed number molasses months Multiply NOTE OPERATION ounces paid payment pence pounds Principal pupil quantity quarts quotient Reduce remainder Required the interest School Committee Section Septillions seven hundred shillings simple fraction sold square feet square rods square root subtract subtrahend teachers thousand thousandths tion tons TROY WEIGHT units VULGAR FRACTIONS whole number write yards of cloth York

### Popular passages

Page 153 - ... hand of the, given number, (after the manner of a quotient in division,) for the first figure of the root, and the square...

Page 31 - 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 126 - COMPUTE the interest on the principal sum from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due : add that interest to the principal, and from...

Page 135 - ... in 12 months ; what is the equated time for the payment of the whole sum ? Ans.

Page 33 - 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 156 - 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 7 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...

Page 76 - Numerator shows how many of those parts are taken. 1. A proper fraction is one whose numerator is less than the denominator , as f . 2.

Page 104 - 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.

Page 41 - CIRCULAR MOTION. 60 Seconds .... make 1 Minute, . . . marked '. 60 Minutes. ..." 1 Degree, ..." °. 30 Degrees . . . . " 1 Sign, ..." s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac.