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" Here we must bear in mind that the dividend is always equal to the product of the divisor and quotient... "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 35
by Charles William Hackley - 1864 - 503 pages
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An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ...

James Ryan - Arithmetic - 1827 - 290 pages
...dividing 36 by 4 the quotient is 9 ; and 4:1:: 36 : 9. This appears from § 70, and from the principle that the dividend is always equal to the product of the divisor and quotient. 73. When we say that one quantity is directly as an. other quantity, it is to be understood that the....
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...quotient, whether we can or cannot express its value by a separate quantity. Here we must bear in mind that the dividend is always equal to the product of the divisor and quotient, so that the finding of a quotient resolves itself into the finding of a quantity the product of which...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...quotient, whether we can or cannot express its value by a separate quantity. Here we must bear in mind that the dividend is always equal to the product of the divisor and quotient, so that the finding of a quotient resolves itself into the finding of a quantity the product of which...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...remainder. In short, let us represent successive divisions as follows : d)D(q dq 0 Now, in division, the dividend is always equal to the product of the divisor and quotient, plus the remainder, if any. Therefore, r—r'q" and d=rq'-\-r' and D=dq-\-r. As r=r'q", the last divisor...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...In short, let us represent successive divisions as follows : d)D(q rqt r1)r(q" T 0 Now, in division, the dividend is always equal to the product of the divisor and quotient, plus the remainder, if any. • D Therefore, r=rtq" and d=rqt+r. and D=2dq-\-r. As r=rtq", the last...
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Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ...

Thomas Rainey - Arithmetic - 1849 - 320 pages
...the product must have as many decimals as there are decimals in both the multiplicand and multiplier. The dividend is always equal to the product of the divisor and quotient; hence there must be as many decimals in the diyisor and quotient, taken together, as there are in the...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - Mathematics - 1860 - 1014 pages
...a = m b+c . . . . (4) "Tief» Ь-п с = d . . . (2) b = n c+d (5) 'd c—pd — 0 .... (3) с = pd (6) Where the equalities marked (4), (5), (6), are...the consideration that the dividend is always equal tu the product of the divisor and quotient, increased by the remainder. Now, by (6) it is obvious that...
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The Standard Arithmetic: For Schools of All Grades and for ..., Volume 2

James E. Ryan - Arithmetic - 1877 - 212 pages
...is 11025 The over is 0 1646 " " 8 The proof of Division by casting out the nines depends on the fact that the dividend is always equal to the product of the divisor and quotient, plus the remainder. 1. Required to prove that the quotient of 683475 divided by 29 is 23568, the remainder...
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The Natural Arithmetic: Appendix ... for Teachers' Use

Zalmon Richards - Arithmetic - 1886 - 80 pages
...dividend must be used as abstract numbers ; but the quotient will represent the same name as the dividend. The dividend is always equal to the product of the divisor and quotient: GENERAL RULE, applicable to the division of the four kinds of numbers : — • 2. Find how many times...
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