Questions Adapted to Emerson's North American Arithmetic, Part Third, Μέρος 3Jenks & Palmer, 1841 |
Συχνά εμφανιζόμενοι όροι και φράσεις
accounts annuity ARTICLE called a shilling common difference common measure complex fraction compound fraction compound interest compound number computed continual proportionals cube root cubical contents decimal fractions dividend divisor dollar called duodecimals equidifferent means equidifferent series Explain the method express the relation extremes and number extremes equal factors federal money find the number foreign bill four numbers frustrum Give the rule hypotenuse improper fraction mean proportionals minuend mixed number nomination NORTH AMERICAN ARITHMETIC number of terms number of things numbers being given par value present worth proper fraction quantity rate per cent Recite the rule Recite the table rule for addition rule for compound rule for division rule for extracting Rule for multiplying rule for subtraction rupee seconds produce series of continual signify simple fraction solid contents square root tare term called terms being given terms found thirds produce triangle United vulgar fraction weight whole number
Δημοφιλή αποσπάσματα
Σελίδα 28 - I. To find the number of permutations or changes, that can be made of any given number of things, all different from each other. RULE.
Σελίδα 14 - RULE. — Multiply as in whole numbers, and point off as many figures for decimals in the product as there are decimal places in •both factors, counted together.
Σελίδα 13 - Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators into each other continually, for a common denominator.
Σελίδα 25 - ... the square root of the difference of the squares of the hypotenuse and the other leg.
Σελίδα 28 - Take a series of numbers, the first term of which is equal to the number of things out of which the combinations are to be made, and decreasing by 1, till the number of terms is equal to the number of things to be taken at a time, and find the product of all the terms. Then take the natural series...
Σελίδα 28 - We have also seen that the letters abcd admit of 24 variations; but if we have aabb, the 24 variations are "reduced to six, viz. aabb, abba, aba b, bbaa, baab, baba, and this number of variations may be expressed by Hence, we have, as follows, — PROBLEM II. To find the number of changes that may be made in the arrangement of a given number of things, whereof there are several things of one sort, several of another, &c.
Σελίδα 12 - How many times 1 in |f ? in f | ? in ^ ? 16. How do you reduce an improper fraction to a whole or mixed number ? 17. Reduce £? to an equivalent whole number. 18. Reduce l££- to an equivalent mixed number.
Σελίδα 15 - Rule for reducing the lower denominations of a compound number to the decimal of a higher denomination ? Principle ? Mode of dividing when the divisor is 20i 40, etc.
Σελίδα 25 - To find the side of a cube equal in solidity to any given solid, extract the cube root of the solid contents of the given body, and it will be the required side.
Σελίδα 7 - ... evidence of the correctness of an operation, it is not an infallible proof; for, if a product chance to contain an error of just 9 units of any degree, the excess of its horizontal sum is not thereby altered. In order to perceive why the excess above nines found in the horizontal sum of a product, must be equal to the excess found in the product of the excesses of the factors, observe that, by the law of notation, a figure is increased nine times its value by its...