 | Philip Kelland - 1860 - 308 pagina’s
...shall be given in Art. 91. 90. The following are the AXIOMS on which all our processes are based : 1. If equals be added to equals, the wholes are equal....subtracted from equals, the remainders are equal. 3. If equals be multiplied or divided by equals, the products or quotients are equal 4. Like powers of... | |
 | William Steadman Aldis - 1887 - 616 pagina’s
...these algebraical relations may be added the four following axioms or general principles of operation. (1) If equals be added to equals the wholes are equal....subtracted from equals, the remainders are equal. (3) If equals be multiplied by equals the products are equal. (4) If equals be divided by equals the quotients... | |
 | James Alexander McLellan, John Dewey - 1908 - 338 pagina’s
...up to 32 (tens), and so have 1 ten more — ie, three in all — to carry to the next " tnaking-up " column. There seems to be no good ground for the assertion...abstract recognition of them will come in good time. CHAPTER XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1895 - 364 pagina’s
...operations, it might even be inferred that if there is any difference in difficulty between the making-Tip method and the taking-away method, the difference...abstract recognition of them will come in good time. CHAPTER XL MULTIPLICATION AND DIVISION. ^Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1895 - 348 pagina’s
...inferred that if there is any difference in difficulty between the making-up method and the takiug-away method, the difference is in favour of the making-up...abstract recognition of them will come in good time. CHAPTER XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1905 - 344 pagina’s
...between the making-up method and the taking-away method, the difference is in favour of the making-Tip method, as involving less demand upon conscious attention....abstract recognition of them will come in good time. CHAPTEE XI. MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1895 - 376 pagina’s
...volving less demand upon conscious attention. However this may be, it is certainly known from ilbtual knowledge of school practice that pupils who have...abstract recognition of them will come in good time. CHAPTER XI. MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1896 - 356 pagina’s
...: 12, 14, 20, 24 and four, 28— carry 2 ; 2d " 3, 9, 14, 23, 24 and eight, 32— carry 3 ; 3d " 8, 9, 18, 27, 34 and seven, 41— carry 4 ; 4th " 11,...abstract recognition of them will come in good time. CHAPTER XI. MULTIPLICATION AND DIVISION. Multiplication.— From the preceding discussion (see especially... | |
 | Arthur Schultze - 1905 - 482 pagina’s
...equations depends upon the following principles, called axioms: 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal 4. If equals be divided by equals, the quotients... | |
 | Arthur Schultze - 1905 - 468 pagina’s
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are eqifal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals,... | |
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From what has been shown as to the relations of the fundamental operations, it might even be inferred that if there is any difference in difficulty between the making-up method and the taking-away method, the difference is in favour of the making-up method,... 
