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" 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. "
Mental Arithmetic Upon the Inductive Plan: Designed for Primary and ... - Page 129
by Benjamin Greenleaf - 1857 - 144 pages
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 pages
...remainder 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
...remainder 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
...If this sum be 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...
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A brief compendium of arithmetic

Benjamin Snowden - 1835 - 108 pages
...examples, and observe the manner of working them. Proof. — Multiply the Quotient by the Divisor, or the Divisor by the 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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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...Example 1. To prove it by Addition — Add up the several products of the divisor and quotient with the remainder, and if the result be like the dividend the work is right. See Example 2. To prove it by casting out the 9's — Cast the 9's out of the divisor, and place the...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...Example 1. To prove it by Addition — Add up the several products of the divisor and quotient with the remainder, and if the result be like the dividend the work is right. See Example 2. To prove it by casting out the 9's — Cast the 9's out of the divisor, and place the...
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...work is right. To prove it by Addition. Add up the several products of the divisor and quotient with the remainder, and, if the result be like the dividend, the work is right. To prove it by Division itself. Subtract the remainder from the dividend, and divide this number by...
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Introduction to The National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 204 pages
...work is right. To prove it by Addition. Add up the several products of the divisor and quotient with the remainder, and, if the result be like the dividend, the work is right. To prove it by Division itself. Subtract the remainder from the dividend, and divide this number by...
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Introduction to the National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1846 - 206 pages
...work is right. To prove it by Addition. Add up the several products of the divisor and quotient with the remainder, and, if the result be like the dividend, the work is right. To prove it by Division itself. Subtract the remainder from the dividend, and divide this number by...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...divide this number as 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, and quotient...
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