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" Multiplying or dividing both Dividend and Divisor by the same number does not change the Quotient. "
The New Business Arithmetic: A Treatise on Commercial Calculations - Page 40
by Orville Marcellus Powers - 1906 - 374 pages
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Elements of Fractional Arithmetic

George Lees - 1843 - 86 pages
...5x3 3 gives = - — , which brings it to the rule. 7 x 2 Otherwise, since the multiplication of the dividend and divisor by the same number does not change the quotient (Art. 14. Cor. 1.) (Art 20.), which is the rule. 52 2x7 Or thus, •= -f- -5 = 5 -5 -- s — =5x3-^7x2...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
..." 12' tion by the Pr°Per siSn> an(l Divisor, * XHX 0 write the divisor underneath i the dividend. Since dividing both dividend and divisor by the same number does not affect the value of the quotient (Art. 48), divide each by 4, 7, and 9. This may be done by canceling,...
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The National Teacher: A Monthly Educational Journal, Volume 1

Education - 1871 - 724 pages
...divisor divided by any number, the quotient will be multiplied by the same number. 8. Multiplying or dividing both dividend and divisor by the same number. does not change the quotient 9. If the denomination of the divisor be less than units, the denomination of the quotient must be...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...same as before, because rejecting a factor is dividing by that factor, and we learned in § 104 that dividing both dividend and divisor by the same number does not change the quotient. 114. On the same principle, the work may be shortened when the factors of dividend, or divisor, or...
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Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - Arithmetic - 1872 - 344 pages
...divisor by the same number does not change the quotient. 277. It has already been shown, in Art 107, that Dividing both dividend and divisor by the same number does not change the quotient. 120 [ 15 120 [ 2 x 15 120 [ 4 x 15 8 120 { 80 120 [ 60 4=8+2 2=8+4 82 {8 2x82 {2x8 64 {16 4 5x32 {5x8...
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The Principles of Arithmetic ...

Joseph Ray - 1856 - 400 pages
...3, which is 6, is contained in 24 one half of 8 = 4 times. ART. 75. THEOREM VI. — Multiplying or dividing both dividend and divisor by the same number, does not change the quotient. DEMONSTRATION. — This follows from the two preceding theorems; for the effects produced by multiplying...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1874 - 352 pages
...Dividend or multiplying the Divisor by any number, divides the Quotient by that number. 3. Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient. NOTE TO TEACHER. — Let the pupils be required to show the reason for the above principles, and give...
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A Higher Arithmetic

George Payn Quackenbos - Arithmetic - 1874 - 444 pages
...multiplies the quotient by that number, and dividing the dividend divides the quotient, III. Multiplying or dividing both dividend and divisor by the same number does not change the quotient. Exs.— 48 -H 8 = 6. Keep the same dividend ; then, Doubling divisor halves quotient: 48 -s- 16 = 3...
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...3. Hence, rejecting the factor 3 from 72, we have 24, the quotient of 72 divided by 3. PROP. II. — Dividing both dividend and divisor by the same number does not change the quotient. Thus, 60 -H 12 = 20 threes H- 4 threes = 5. Observe that the unit three, in 20 threes -=- 4 threes,...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 418 pages
...quotient. 2. Dividing the dividend or multiplying the divisor, divides the quotient. 3. Multiplying or dividing both dividend and divisor by the same number, does not change the quotient. ANALYSIS AND REVIEW. 105. Analysis is the process of solving problems by tracing the relation of the...
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