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 Βιβλία Βιβλία 1 - 10 από 65 για ... any number divided by 9 will leave the same remainder as the sum of its digits.... ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9. A Complete Graded Arithmetic: Oral and Written Upon the Inductive Method of ... - Σελίδα 356
των James Bates Thomson - 1882 - 396 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## A System of Practical Arithmetic: Applicable to the Present State of Trade ...

Jeremiah Joyce - 1812 - 258 σελίδες
...property of the number 9, which belongs also to the number 3, but to none of the other digits; viz. that any number divided by 9, will leave the same remainder as the sum of digits divided by 9: thus 8769 divided by 9, leaves 1 as a remainder; and so will 8 + 7+6+7* or 18,... ## A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...property of the number 9, which except the number 3, belongs to no other digit whatever ; namely, that ** any number divided by 9, will leave the same remainder as the sum of its figures or digit: divided by 9 ;" which may bt demonstrated in this manner. Demonstration. Let there... ## A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 423 σελίδες
...property of the number 9, which, except the numbers, belongs to no other digit whatever ; viz. that any number divided by 9 will leave the same remainder as the sum of its figures or digits divided by 9 ; which is thus demonstrated : — Let the number 5432 be eiven : this... ## Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 σελίδες
...when this proof answers, always be 9, or a multiple of 9. This proof depends upon this property, that any number divided by 9, will leave the same remainder, as the sum of its digits when divided by the same number. 3. Another proof is, the 1st, 3d, 5th, &c. being taken from the sum... ## The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - 1825 - 332 σελίδες
...as if you divided the product of the two first numbers by 9 or 3. 9. Any number divided by 9 or 3, will leave the same remainder as the sum of its digits divided by 9 or 3. Hence, if any number is divisible by 9 or 3, the sum of its digits is likewise divisible by 9... ## A Course of Mathematics for the Use of Academies: As Well as ..., Τόμος 1

Charles Hutton - 1825
...number 9, which except the number 3, belongs to no other digit whatever; namely, that " any numl>er divided by 9 will leave the same remainder as the sum of it> figures or digits d ivided by 9 , which may be demonstrated in this manner. Demonstration Let there... ## The Youth's Assistant in Theoretick and Practical Arithmetick ...

Zadock Thompson - 1826 - 164 σελίδες
...the number 9, which belongs to noother number, except 3, namely, that any number divided by 9 leaves the same remainder as the sum of its digits divided by 9. Thus 436 divided by 9, Hie remainder is 4 ; the sum of the digits in 436 is (4+34-6=) 13 and 13 divided... ## A dictionary of mechanical science, arts, manufactures, and miscellaneous ...

Alexander Jamieson - 1829
...not, it is certainly wrong. This proof depends upon a singular property of the number 9; viz. that any number divided by 9, will leave the same remainder, as the sum of its digits when divided by the same number. 3. Another proof fur multiplication is drawn from a particular property... ## The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 σελίδες
...^JT 1142 4752 586393 * This method of proof depends upon a properly of the number 9, which is, that " any number divided by 9, will leave the same remainder as the sum of its di?its divided by 9." nius. Take the number 465. This separated into its parts, becomes 400 -f 60-f-... ## A Course of Mathematics: For the Use of Academies, as Well as ..., Τόμος 1

Charles Hutton - 1831
...property of the number 9, which, except the number 3, belongs to no other digit whatever ; namely, that " any number divided by 9, will leave the same remainder as the sum of its figures are digits divided by 9:" which шву be demonstrated in this manner. Demonstration. Let there...