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" PROOF. — Multiply the divisor by the quotient, and to the product add the remainder, if any. "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - Page 16
by Royal Military Academy, Woolwich - 1853
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 pages
...5. 5 The following rule is to be observed in examples where there is a remainder. 54. If we multiply the divisor by the quotient, and to the product add the remainder, we must obtain the dividend; this is the method of proving division, and of discovering whether the...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...5. 5 The following rule is to be observed in examples where there is a remainder. 54. If we multiply the divisor by the quotient, and to the product add the remainder, we must obtain the dividend ; this is the method of proving division, and of discovering whether the...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...less than the divisor, place a cipher in the quotient, and bring down another figure. Proof. Multiply the divisor by the quotient, and to the product add the remainder, if any, and if the sum equal the dividend, the work it right. Examples. 1. Divide 147 by 4. Having written...
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A brief compendium of arithmetic

Benjamin Snowden - 1835 - 108 pages
...Divisor and Dividend as in the following examples, and observe the manner of working them. Proof. — Multiply the Quotient by the Divisor, or the Divisor...Quotient ; and to the Product, add the remainder, the sum will be the same as the Dividend if the work be right. Divisor. Dividend. Quotient. Divisor....
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...before, and continue dividing in the same manner till all the figures are divided. PROOF. Multiply the divisor by the quotient, and to the product add the remainder, and if the sum be equal to the dividend, it is supposed to be right. OBS. 1. The dividend, divisor,...
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School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 344 pages
...the last figure, set the divisor under it, and annex the result to the quotient. PROOF. — Multiply the divisor by the quotient, and to the product add the remainder, when there is one ; if the work is right the result will be equal to the dividend. / h EXAMPLES. (1.)...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1853 - 622 pages
...before, and continue dividing in the same manner till all the figures are divided. PROOF. Multiply the divisor by the quotient, and to the product add the remainder, and if the sum be equal to the dividend, it is supposed to be right. OBS. 1. The dividend, divisor,...
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Greenleaf's Primary Arithmetic

Benjamin Greenleaf - Mental arithmetic - 1854 - 156 pages
...quotient, and annex the next figure, 7, making 27, which contains the divisor 9 times. PROOF. — Multiply the divisor by the quotient, and to the product add the remainder, and if the result be like the dividend, the work is right. Thus : Quotient 15609 Divisor 4)1486 Dividend....
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...Prefix means to place before ; annex, to place after. ART. 50. First Method of Proof . — Multiply the divisor by the quotient, and to the product add the remainder, if any, and, if the work is right, the sum thus obtained will be equal to the dividend. QUESTIONS. —...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...underneath, with a line between them, at the right of the quotient. 74. first Method of Proof. — Multiply the divisor by the quotient, and to the product add the remainder, if any, and if the work be right, the sum thus obtained will be equal to the dividend. NOTE. — This...
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