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" Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient. "
Second Book in Arithmetic: Comprising Four Years of Oral and Written Work in ... - Page 234
1882 - 380 pages
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 322 pages
...3; and 12-7-3 = 4, which is equal to the quotient of 24 -j- 6., the same as before. Hence, PBIXCIPLE III. Multiplying or dividing both dividend and divisor by the same number does not alter the quotient. EXAMPLE. It is required to multiply 24 by 6, and divide the product by 6. 24x6...
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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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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 330 pages
...3 ; and 12 -=-3= 4, which is equal to the quotient of 24-j-6, the same as before. Hence, PRINCIPLE III. Multiplying or dividing both dividend and divisor by the same number does not alter the quotient. IT 50. EXAMPLE. It is required to multiply 24 by 6, and divide the product by 6....
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...divisor divides the quotient ; and dividing the divisor multiplies the quotient. (86. Ill and IV.) PRIN. III. Multiplying or dividing both dividend and divisor by the same number, does not alter the quotient. (86 . V and VI.) 88. These three principles may be embraced in one GENERAL LAW....
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Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - Arithmetic - 1861 - 452 pages
...and 24 -f- 1 2 = 2, which is equal to 1 half of the quotient of 24-f-6, the same as before. PRINCIPLE III. — Multiplying or dividing both dividend and divisor by the same number does not alter the quotient. Illustration. — Example, the same as before. Multiplying both dividend and divisor...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...the quotient. II. Multiplying the divisor divides the quotient, and dividing the divisor multiplies the quotient. III. Multiplying or dividing both dividend and divisor by the same quantity does not change the quotient. 2d. Change of signs. 85. To show in what manner the sign of...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...the quotient. II. Multiplying the divùor divides the quotient, and dividing the divisor multiplies the quotient. III. Multiplying or dividing both dividend and divisor by the same quantity does not change the quotient. 2d. Change of signs. 85. To show in what manner the sign of...
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A Practical Arithmetic

George Payn Quackenbos - Arithmetic - 1869 - 348 pages
...the divisor by any number divides the quotient by that number, and dividing the divisor multiplies the quotient. III. Multiplying or dividing both dividend...divisor by the same number does not change the quotient. 105. If we multiply one number by another, and then divide the product by the multiplier, we have the...
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A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...fractions having a common denominator, equals the quotient of tJieir numerators. 2. The multiplying of both dividend and divisor by the same number does not change the value of the quotient. 102. RULES. — To divide a fraction by a fraction, 1. Reduce the fractions...
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The National Teacher: A Monthly Educational Journal, Volume 1

Education - 1871 - 724 pages
...multiplied or the 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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