The Elements of Arithmetic

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John Taylor, 1830 - Algebra - 136 pages

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Contents

also that of the divisor and remainder 82 Process and RULE for finding the greatest common measure
82
numbers and exercises
86
two numbers
87
its value
92
WEIGHTS MEASURES
95
in the last case consists of ciphers preceded by 1 and exercises
98
tities contain fractions or decimals
103
sion of fractions
104
Definition of decimal numbers and fractions
106
Reduction of a whole number to a decimal fraction and
107
one decimal fraction to another 108 Reduction of a fraction which is not decimal to one which
108
and exercises 109 Case in which this reduction is not possible and approxima
109
Reason for this approximation lll Reduction of a decimal to whole numbers and more simple decimals and exercises 112 113 Method of obtaining th...
112
off figures from the numerator 114 Way of denoting decimal fractions derived from this method
114
Use of the cipher in this notation
115
A decimal thus expressed is not altered by putting ciphers
116
on its right 117 Reduction of decimals to a common denominator
117
Addition of decimal fractions and exercises
118
Subtraction of decimal fractions and exercises
119
Multiplication of a decimal fraction by a decimal number
120
Multiplication of one decimal fraction by another
121
Division of a decimal fraction by a decimal number
123
Continuation of 118 and RULE
124
Continuation of 119 and RULE
125
Distinction between ciphers which are in the numerator
126
those which are added by the rule 127 Modification of the rule when there are ciphers in the deno
127
Process of division of one decimal by another
128
Rule for the process in the last article and exercises
129

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Page 68 - 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 90 - 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 103 - Apothecaries' Weight 20 grains (gr.) = 1 scruple (3) 3 scruples = 1 dram (3) 8 drams = 1 ounce ( 3 ) 12 ounces =; 1 pound (ft...
Page 89 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 27 - A, from A to B, from B to C, and from C to...
Page 47 - II.: if the remainder thus increased be greater than the divisor, find how many times the divisor is contained in it...
Page 71 - To reduce a compound fraction to an equivalent single one. RULE. — Multiply all the numerators together for the numerator, and all the denominators together for the denominator, and they will form the fraction required.
Page 89 - Multiply as in whole numbers, and point off as many figures for decimals, in the product, as there are decimals in the multiplicand and multiplier.
Page 49 - When the divisor is 10, 100, 1000, fyc., cut off as many figures from the right hand of the dividend as there are ciphers in the divisor; the other figures of the dividend will be the quotient, and the figures cut off will be the remainder.
Page 102 - Drams make 1 Ounce 1 oz. 16 Ounces 1 Pound 1 Ib. 28 Pounds 1 Quarter 1 qr. 4 Quarters 1 Hundredweight... 1 cwt. 20 Hundredweights 1 Ton 1 Ton. In general, 1 Stone (1 st.) = 141bs. Avoirdupois, but for butchers* meat or fish, 1 Stone = 8 Ibs.

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