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" Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right. "
Elements of Arithmetic: Part I : Adapted to the Use of Common Schools and ... - Page 13
by Z. Jones - 1845 - 46 pages
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 322 pages
...equal to the dividend. NOTE I. — To prove division, if there be a remainder. Multiply the integers of the quotient by the divisor, and to the product add the remainder. If the work be right, their sum will be equal to the dividend. Example. — Divide 1145 by 7. OPERATION....
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The Juvenile Arithmetick, and Scholar's Guide: Illustrated with Familiar ...

Martin Ruter - Arithmetic - 1831 - 190 pages
...proceed in this manner until all the figures in the dividend are brought down and used. - , ; PROOF. Multiply the quotient by the divisor, and to the product add the last remainder, if there be any; if the work is right, the sum will be equal to the dividend. i, ....
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The New System of Practical Arithmetic: Whereby Most of the Various Problems ...

Charles Potts - Arithmetic - 1835 - 202 pages
...under the dividend. In this case- it is called short division, but otherwise long division. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder. EXAMPLES. 1. Divide 963 by 3. Dividend. Divisor 3)963 Quotient 321 OPERATION. — As the divisor does...
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The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - Arithmetic - 1838 - 346 pages
...quotient for every figure so brought down, till the number be sufficient to contain the divisor. PROOF. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the .work be right. dividend, then divide the remaining...
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Porter's New System of Mathematics: With the Addition of a Complete Ready ...

James H. Porter - Arithmetic - 1841 - 210 pages
...quotient for every figure so brought down, till the number be sufficient to contain the divisor. Proof. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the work is right. When there are ciphers annexed to...
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A Treatise of Arithmetic: Designed for the Use of the Elementary Schools ...

Arithmetic - 1843 - 142 pages
...by the other figures ; and to the last remainder annex the figures cut off from the dividend. PKOOF. Multiply the quotient by the divisor, and to the product add the remainder, if any ; the sum should be the dividend. Or cast the nines out of the divisor, dividend, quotient, and...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...quotient under it ; and for every nnit oner, carry ten to the next figure of the dividend. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder, if any ; the product will be equal to the dividend if the work is right. EXAMPLES. (1) Divisor 3)743625798...
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A New System of Arithmetic and Mathematics

James H. Porter - Arithmetic - 1845 - 252 pages
...quotient for every figure so brought down, till the number be sufficient to contain the divisor. Proof. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the work is right. When there are ciphers annexed to...
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 330 pages
...equal to the dividend. NOTE 1. — To prove division, if there be a remainder. Multiply the integers of the quotient by the divisor, and to the product add the remainder. If the work be right, their sum will be equal to the dividend. Example. — Divide 1145 by 7. OPERATION....
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The American Equater: Or, Arithmetic Simplified in which Equations are Used ...

Conley Plotts - Arithmetic - 1848 - 278 pages
...work is supposed to be right ; or, in division of whole numbers we may multiply the whole numbers in the quotient by the divisor, and to the product add the remainder, (if any,) and if the result is like the dividend, the work is deemed correct. EXAMPLES. 1. Find the value...
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