Elements of Arithmetic: For Schools and Academies. In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi. Part second |
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Page 5
... Fractions , and to simplify the general arrangement , by treating in connection all subjects of a similar nature . The work has in this manner been greatly condensed , and an opportunity afforded for giv . ing full explanations of every ...
... Fractions , and to simplify the general arrangement , by treating in connection all subjects of a similar nature . The work has in this manner been greatly condensed , and an opportunity afforded for giv . ing full explanations of every ...
Page 6
... fractions to their lowest terms , and in cancelling the factors common to long multipliers and divisors . The attention of teachers is likewise invited to the rule for divid- ing by 9's , the remarks on Transposition , the contractions ...
... fractions to their lowest terms , and in cancelling the factors common to long multipliers and divisors . The attention of teachers is likewise invited to the rule for divid- ing by 9's , the remarks on Transposition , the contractions ...
Page 7
... Fractions Addition of Fractions Subtraction of Fractions Multiplication of Fractions Division of Fractions Circulating Decimals Rule for dividing by 9's Compound Numbers - Reduction Compound Addition Compound Subtraction Compound ...
... Fractions Addition of Fractions Subtraction of Fractions Multiplication of Fractions Division of Fractions Circulating Decimals Rule for dividing by 9's Compound Numbers - Reduction Compound Addition Compound Subtraction Compound ...
Page 10
... FRACTION is a part or parts of a unit ; as one - half , two - thirds , seven - tenths . Arithmetic consists of five fundamental operations , in each of which something is given , and something is re- quired ; namely , Numeration ...
... FRACTION is a part or parts of a unit ; as one - half , two - thirds , seven - tenths . Arithmetic consists of five fundamental operations , in each of which something is given , and something is re- quired ; namely , Numeration ...
Page 20
... fractions , the number above the line , or the dividend , being the numerator , and the number below the line , or the divisor , the denominator . The re- mainder in any division may always be written as the numerator of a fraction ...
... fractions , the number above the line , or the dividend , being the numerator , and the number below the line , or the divisor , the denominator . The re- mainder in any division may always be written as the numerator of a fraction ...
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Common terms and phrases
5th power 9 hours acres amount annuity approximate values Arithmetic Avoirdupois bill BOARD bought bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic denominator diameter discount Divide dividend divisible dollars dominical letter equal example exchange Extract extremes feet fraction gain gallons Geometrical Progression given number greatest common divisor harmonical means hours a day hundred improper fraction inches last term least common multiple less lowest terms marcs mean proportional miles minuend months multiplicand Multiply number of terms obtained oxen paid payable payment piece present worth prime factors prime number PROBLEM quotient figure ratio Reduce remainder repetend rods root figure RULE sold square number square root subtract sugar tens third trial divisor undecillion units weeks weight whole number wide yards zeroes లు
Popular passages
Page 18 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.
Page 177 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 30 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 106 - PROBLEM II. Any number of different things being given, to find how many changes can be made out of them by taking a given number of the things at a time.
Page 27 - 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 106 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other.- . RULE. Multiply all the terms of the natural series of numbers, from one up to the given number, continually together, and the last product will be the answer required.
Page 9 - ... say one and one are two, two and one are three, three and one are four, four and one are five, five and one are six, six and two are eight ; in this way they go on until they are desired to stop.
Page 207 - A farmer has a stack of hay, from which he sells a quantity which is to the quantity remaining, as 4 to 5. He then uses 15 loads and finds that the quantity left, is to the quantity sold, as 1 to 2. Required the number of loads at first in the stack.
Page 130 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient.
Page 117 - All numbers between 1000 or 103, antj iQO0000 or 100», will have two figures in their root. And generally, if we divide a cube into periods of three figures each, by placing a point over units, and one over every third figure from units, the number of points will show the number of figures in the root. EXAMPLES FOR THE BOARD. In order properly to understand the principles of the cube root, the student should be provided with the following blocks : 1. A cubical block, each side measuring 3 inches,...