An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the Instruction of Youth in Schools and Academies in the United States |
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Page 20
... evident from the preceding article . Methods of Proof . 1. Add the remainder and the less of the given numbers together if the sum be equal to the greater , the work is correct . 2. Subtract the number found from the greater of the ...
... evident from the preceding article . Methods of Proof . 1. Add the remainder and the less of the given numbers together if the sum be equal to the greater , the work is correct . 2. Subtract the number found from the greater of the ...
Page 25
... evident , that the sum of 5 eights must be the same with the sum of 8 fives , or that 8 + 8 + 8 + 8 + 8 = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 ; which is the meaning of the proposition . However , it admits of a very easy proof from the follow ...
... evident , that the sum of 5 eights must be the same with the sum of 8 fives , or that 8 + 8 + 8 + 8 + 8 = 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 ; which is the meaning of the proposition . However , it admits of a very easy proof from the follow ...
Page 30
... any other part of the mul- tiplier are to be neglected . * The reason of this rule is evident from the articles in the preceding art of this section . Examples in Multiplication of Whole Numbers . Ex . 1. 30 AN ELEMENTARY TREATISE.
... any other part of the mul- tiplier are to be neglected . * The reason of this rule is evident from the articles in the preceding art of this section . Examples in Multiplication of Whole Numbers . Ex . 1. 30 AN ELEMENTARY TREATISE.
Page 33
... factors , by 9 ; and thus the reason of this method of proof is evident . The same property belongs to the digit 32 but it is more convenient in practice to use 9 . : Examples . 26. 8320900 X 1328 27. 15607 X 3094 ON ARITHMETIC . 33.
... factors , by 9 ; and thus the reason of this method of proof is evident . The same property belongs to the digit 32 but it is more convenient in practice to use 9 . : Examples . 26. 8320900 X 1328 27. 15607 X 3094 ON ARITHMETIC . 33.
Page 42
... evident from the note , page 32 . 31. If the given divisor be the product of any two or more known factors , the quotient may often be more expeditiously obtained from successive division by those factors . Thus , in dividing 27783 by ...
... evident from the note , page 32 . 31. If the given divisor be the product of any two or more known factors , the quotient may often be more expeditiously obtained from successive division by those factors . Thus , in dividing 27783 by ...
Other editions - View all
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan No preview available - 2017 |
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan No preview available - 2017 |
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan, Fra No preview available - 2016 |
Common terms and phrases
2qrs 3qrs acres amount of $1 annexed annuity annum answer antecedent Arithmetic barrel bushels called cents per lb ciphers column common difference compound interest contained cube root debt decimal fractions denominator digits discount divided dividend division divisor drams equal equivalent evident Exam example exchange Exercises Exercises.-1 expressed factors farthings feet figure fourth proportional furlongs gain gallons given fraction given numbers given sum grains greater Hence hundred improper fraction least common multiple lowest terms method miles millions minuend mixed number months multiplicand Multiply New-York number of terms operation ounces payable pence pennyweights performed poles pound sterling pounds present worth principal PROBLEM proceed quantity quotient rate per cent Reduce remainder Repeat the rule Required the cost Required the sum result roods shillings square root subtract third term thousand tion tons Troy weight units weight whole numbers yards
Popular passages
Page 66 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 129 - Rule. — Divide the numerator by the denominator, the quotient will be the whole number...
Page 129 - To reduce a mixed fraction to an equivalent improper fraction. RULE. — Multiply the whole number by the denominator of the fractional part, and to the product add the numerator, and place their sum over the said denominator.
Page 244 - When the sum of the series, the number of terms, and one of the extremes are given, to find the other extreme. Divide twice the sum of the series by the number of terms, and from the quotient take the given extreme.
Page 54 - WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.
Page 226 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Page 245 - A body near the earth falling by its own weight, if it were not resisted by the air, would descend in the first second of time through a space of 16 feet and 1 inch ; in the next second through 3 times that space ; in the third, through 5 times that space ; in the fourth, through 7 times that space, etc.
Page 220 - ... number contained in the first period, and place the cube root of it in the quotient. Subtract its cube from the first period, and bring down the next three figures ; divide the number thus brought down by 300 times the square of the first figure of the root, and it will give the second figure ; add 300 times the square of the first figure, 30 times the product of the first and second figures, and the square of the second figure together, for a divisor; then multiply...
Page 61 - A square inch is a square each of whose sides, is an inch long. A square foot is a square having each side 1 foot, or 12 inches long.