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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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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - Arithmetic - 1872 - 350 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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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
...times, and 2 times 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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A Higher Arithmetic

George Payn Quackenbos - Arithmetic - 1874 - 444 pages
...multiplying the dividend by any number multiplies the quotient by that number, and dividing the dividend divides the quotient, III. Multiplying or dividing...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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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1874 - 352 pages
...Dividing the 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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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1874 - 490 pages
...Multiplying the dividend multiplies the quotient; and dividing the dividend divides the quotient. PRIN. III. Multiplying or dividing both dividend and divisor by the same number, does not alter the, quotient. 118. These three principles may be embraced in one GENERAL LAW. A change in the...
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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 New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 444 pages
...Dividing the 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. 4. A General IMW. — A change in the Dividend by multiplication or division produces a similar change...
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The Normal Union Arithmetic: Graded Course, Volume 2

Edward Brooks - Arithmetic - 1877 - 250 pages
...Dividing the 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. 4. A. Genera^ Law. — A change in the Dividend by multiplication or division produces a similar change...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 418 pages
...multiplies the 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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