 If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.  Common School Algebra - Page 3by Thomas Sherwin - 1855 - 238 pagesFull view - About this book
 | John Fair Stoddard - Arithmetic - 1888 - 480 pages
...the following axioms are used : • 1. The whole of a quantity is greater than any of its parts. 2. The whole of a quantity is equal to the sum of all its parts. 3. Quantities which are separately equal to the same quantity are equal to one another. 4. If equal... | |
 | Horatio Nelson Robinson - Algebra - 1872 - 436 pages
...roots of equal quantities are equal. 10. The whole of a quantity is greater than any of its parts. 11. The whole of a quantity is equal to the sum of all its parta EXERCISES IN ALGEBRAIC NOTATION. 4O. In the examples which follow, it is required of the pupil... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...will not be changed, V. Quantities which are equal to the same quantity are equal to each other. 8. The whole of a quantity is equal to the sum of all its parts. 9. Like powers and like roots of equal quantities are equal. EXERCISES. 25.— Ex. 1. 13 + 16= how... | |
 | Philotus Dean - Arithmetic - 1874 - 472 pages
...The following are some of them. AXIOMS. 1. The whole of a quantity is greater than a part of it. 2. The whole of a quantity is equal to the sum of all its parts. 3. If equal quantities are equally increased, the sums are equal. 4. If equal quantities are equally... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...same quantity are equal to each other. 8. Like powers and like roots of equal quantities are equal. 9. The whole of a quantity is equal to the sum of all its parts. \ EXERCISES ON THE PRECEDING DEFINITIONS AND PRINCIPLES. 45. Translate the following algebraic expressions... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...same quantity are equal to each other. 8. Like powers and like roots, of equal quantities, are equal. 9. The whole of a quantity is equal to the sum of all its parts. NOTE. Teachers and pupils should refer to these axioms, when they are applicable, in oral explanations.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...quantity are equal to each other. 8. Like powers and like roots, of equal quantities, are equal. ',). The whole of a quantity is equal to the sum of all its parts. NOTE. Teachers ¡md pupils should refer to these axioms, when they are applicable, in oral explanations.... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...of equal quantities are equal. (10) The whole of a quantity is greater than any of its parts. (11) The whole of a quantity is equal to the sum of all its parts. 9. JJuw are similar terms to be added t (1) When the signs are alike, add the coefficients and prefix... | |
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