## Introduction to the National Arithmetic: On the Inductive System Combining the Analytic and Synthetic Methods : in which the Principles of the Science are Fully Explained and Illustrated : Designed for Common Schools and Academies |

### Contents

7 | |

33 | |

44 | |

73 | |

82 | |

110 | |

130 | |

140 | |

205 | |

212 | |

218 | |

230 | |

237 | |

254 | |

261 | |

269 | |

146 | |

165 | |

174 | |

190 | |

196 | |

287 | |

294 | |

301 | |

325 | |

### Other editions - View all

### Common terms and phrases

2far 66 1 bushel 7fur acres of land added amount annex barrels of flour bill Bought cancel ciphers circumference column common denominator common difference composite number compound numbers containing cost cube root cubic feet cubic inches decimal diameter discount Divide the product dividend division dollars per acre Dry Measure equal exactly divide EXAMPLES FOR PRACTICE farthings gain gallons given number grains greatest common divisor hogshead improper fraction least common multiple less MEASURE meters miles millions mills minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain ounces paid payment pence prime factors prime number purchase quantity quarts quotient rate per cent ratio received reduce rule for finding shillings simple numbers sold square feet square rods square root subtract subtrahend tens thousand tons Troy Troy Weight true remainder United States money whole number write yards

### Popular passages

Page 145 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 136 - The Greatest Common Divisor .of two or more numbers is the greatest number that will divide each of them without a remainder. Thus 6 is the greatest common divisor of 12, 18, and 24.

Page 46 - The dividend is the number to be divided. The divisor is the number by which we divide.

Page 18 - Addition is the process of finding the sum of two or more numbers.

Page 284 - 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 98 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 285 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.

Page 277 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.

Page 189 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.

Page 155 - Multiplication is the process of taking one number as many times as there are units in another.