The Elements of Arithmetic |
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Page ix
... remainder . 80. Every common measure of the remainder and divisor is also a common measure of the divisor and dividend . 81. The greatest common measure of the dividend and divisor is also that of the divisor and remainder . 82. Process ...
... remainder . 80. Every common measure of the remainder and divisor is also a common measure of the divisor and dividend . 81. The greatest common measure of the dividend and divisor is also that of the divisor and remainder . 82. Process ...
Page x
... remainder in division . 88. Definition of a fraction , and exercises . 89. Definition of numerator and denominator . 90. Second definition of a fraction , deduced from the first . 91. Method of changing the terms of a fraction without ...
... remainder in division . 88. Definition of a fraction , and exercises . 89. Definition of numerator and denominator . 90. Second definition of a fraction , deduced from the first . 91. Method of changing the terms of a fraction without ...
Page 21
... remainder . The process of finding the difference is called SUBTRACTION . ( 33. ) The process of subtraction depends upon these two principles . I. The difference of two numbers is not altered by adding a number to the first , if you ...
... remainder . The process of finding the difference is called SUBTRACTION . ( 33. ) The process of subtraction depends upon these two principles . I. The difference of two numbers is not altered by adding a number to the first , if you ...
Page 36
... remainder , and so on , or , in common language , to tell off 156 by thirteens . Do this and mark one for every subtraction that is made to remind you that 36 PRINCIPLES OF ARITHMETIC . RULE OF SUBTRACTION, or process of last article ...
... remainder , and so on , or , in common language , to tell off 156 by thirteens . Do this and mark one for every subtraction that is made to remind you that 36 PRINCIPLES OF ARITHMETIC . RULE OF SUBTRACTION, or process of last article ...
Page 38
... remainder 3. If we use signs , 159 = 13 × 12 + 3 . EXERCISES . 146 = 24 × 6 + 2 , or 146 contains six twenty - fours and 2 over . 146 6x 24 + 2 , or 146 contains twenty - four sixes and 2 over . 3000 = 42x7 + 6 , or 3000 contains seven ...
... remainder 3. If we use signs , 159 = 13 × 12 + 3 . EXERCISES . 146 = 24 × 6 + 2 , or 146 contains six twenty - fours and 2 over . 146 6x 24 + 2 , or 146 contains twenty - four sixes and 2 over . 3000 = 42x7 + 6 , or 3000 contains seven ...
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Common terms and phrases
156 contains 20 shillings 24 divided 32 contains 49 yards acres alter annex ciphers arithmetic AUGUSTUS DE MORGAN basket bushels called column common denominator common fractions contains 13 convenient count the number decimal fraction decimal number decimal point difference divided by 13 dividend and divisor divisible equal exact number EXERCISES farthings feet fingers following rule four frac fraction whose denominator greatest common measure heap hund hundreds last article least common multiple length lower line measures 112 merator metic multiplicand nator number of ciphers number of figures number of fractions number of pebbles number of tens number of units numerator and denominator pence pennyweights pound proceed quantity question reckon recollect reduced remainder 24 required to multiply right hand seven signs simple decimals stand subtract 13 Suppose it required ten-thous thing third thirteens thous thousands tient tion TOOO upper line whole number write written
Popular passages
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 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.