 | James Bates Thomson - 1846 - 402 σελίδες
...consequently we divide by a prime number. (Art. 102.) 15. Any number expressed by the decimal notation, divided by 9, will leave the same remainder as the sum of its figures or digits divided by 9. The same property belongs to the number 3, and to no other number.... | |
 | James Bates Thomson - 1846 - 362 σελίδες
...consequently we divide by a prime number. (Art. 102.) 15. Any number expressed by the decimal notation, divided by 9, will leave the same remainder as the sum of its figures or digits divided by 9. The same property belongs to the number 3, and to no other number.... | |
 | James Robinson (of Boston.) - 1847 - 304 σελίδες
...work is supposed to be right. This method of proof depends upon a property of the number 9, viz., that any number divided by 9, will leave the same remainder, as the sum of its figures divided by 9. 73. If an acre of land is worth 225 dollars, what is the value of 475 acres ?... | |
 | William Vogdes - 1847 - 324 σελίδες
...depends upon a property of the number 9, which, except 3, belongs to no other digit whatever ; that any number divided by 9, will leave the same remainder as the sum of its figures, or digits, divided by 9, which may be thus demonstrated. DEMONSTRATION. — Let there be any... | |
 | James Bates Thomson - 1847 - 426 σελίδες
...its multiple, or its product by any whole number. 15. Any number expressed by the decimal notation, divided by 9, will leave the same remainder, as the sum of its figures or digits divided by 9. Demonstration. — Take any number, as 6357 ; now separating it into... | |
 | James Bates Thomson - 1848 - 434 σελίδες
...its multiple, or its product by any whole number. 15. Any number expressed by the decimal notation, divided by 9, will leave the same remainder, as the sum of its figures or digits divided by 9. Demonstration. — Take any number, as 6357 ; now separating it into... | |
 | George Roberts Perkins - 1849 - 356 σελίδες
...follows that any number being diminished by the sum of its digits, will become divisible by 9. Also, any number divided by 9, will leave the same remainder as the sum of its digits when divided by 9. The above properties belong to the digit 3, as well as to that of 9, since 3 is... | |
 | William Vogdes - 1849 - 134 σελίδες
...depends upon a property of the number 9, which, except 3, belongs to no other digit whatever ; that any number divided by 9, will leave the same remainder as the sum of its figures, or digits, divided by 9, which may be thus demonstrated. DEMONSTRATION. — Let there be any... | |
 | George Roberts Perkins - 1850 - 356 σελίδες
...follows that any number being diminished by the sum of its digits, will become divisible by 9. Also, any number divided by 9, will leave the same remainder as the sum of its digits when divided by 9. The above properties belong to the digit 3, as well as to that of 9, since 3 is... | |
 | Charles Guilford Burnham - 1850 - 350 σελίδες
...proof depends upon a property of the number 9, which belongs to no other digit but 3 ; — namely, that any number divided by 9 will leave the same remainder as the sum of its figures, or digits, divided by 9 237456 467892 736345 849213 EXAMPLES. 478145 956736 202379 698783... | |
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... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9. 
