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" ART. 53. Second Method of Proof . — Add together the remainder, if any, and all the products that have been produced by multiplying the divisor by the several quotient figures, and the result will be like the dividend, if the work is right. "
Introduction to The National Arithmetic, on the Inductive System: Combining ... - Page 53
by Benjamin Greenleaf - 1860 - 130 pages
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The Popular Educator, Volumes 1-2; Volume 12

Geography - 1867 - 964 pages
...quotient, and add the remainder to the product. This should, as already explained, give the dividend. (2.) Subtract the remainder, if any, from the dividend, and divide the difference HO obtained by the quotient. The result should be equal to tho divisor, if the working be correct....
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Putnam's Arithmetic

Rufus Putnam - Arithmetic - 1849 - 276 pages
...add the remainder ; the sum should be equal to the dividend. Or, Subtract the remainder, if there is any, from the dividend, and divide the difference by the quotient ; the result should be equal to the original divisor. NOTE 1. Commence the division by taking the fewest figures...
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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...figure of the dividend brought down, and so on until the number is large enough to contain the divisor. ART. 53. Second Method of Proof. — Add together...commonly employed. QUESTIONS. — Art. 52. What is the genera] rule for long division? How may you know when the quotient figure is too smalt ? How may you...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...NOTE 2. — If, at any time, the divisor, multiplied by the quotient figure, produces a product larger than the part of the dividend used, it shows that...is right. NOTE. — The first method of proof (Art. 60) is usually most convenient, and is most commonly employed. QUESTIONS. — Art. 52. What is the...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...figures, and the result will be like the dividend, if the work be right. 77i Fourth Method of Proof. — Subtract the remainder, if any, from the dividend,...result will be- like the original divisor, if the work be right. NOTE. — The first method of proof (Art. 74) is usually most convenient, and is most commonly...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 472 pages
...figures, and the result will be like the dividend, if the work be right. 77i Fourth Method of Proof. — Subtract the remainder, if any, from the dividend,...result will be like the original divisor, if the work be right. NOTE. — The first method of proof (Art. 74) is usually most convenient, and is most commonly...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...figures, and the result will be like the dividend, if the work be right. 77. Fourth Method of Proof. — Subtract the remainder, if any, from the dividend,...result will be like the original divisor, if the work be right. NOTE. — The first method of proof (Art. 74) is usually most convenient, and is most commonly...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 362 pages
...quotient figure is too large, and must be diminished. 79. PROOF. 1. The same as in short division. Or, 2. Subtract the remainder, if any, from the dividend, and divide the difference by the quotient ; if the result be the same as the given divisor, the work is correct. 80. The operations in long division...
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Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1860 - 358 pages
...remainder after dividing all the figures of the dividend, it must be written as directed in the prqpding rule. ART. 53 , Second Method of Proof '. — Add...and is most commonly employed. > QUESTIONS. — Art. 62. What is the general rule for long division ? How may you know when the quotient figure is too small...
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Arithmetic for school and college use. With a chapter on the metric system

Thomas Percy Hudson - Arithmetic - 1866 - 268 pages
...quotient, and add the remainder to the product. This should, as already explained, give the dividend. (2.) Subtract the remainder, if any, from the dividend, and divide the difference so obtained by the quotient. The result should be equal to the divisor, if the working be correct....
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