 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...24-j-6 signifies that 24 is to be divided by 6. «. Second, division is often expressed by placing the divisor under the dividend, in the form of a fraction. Thus, the expression af-, shows that 35 is to be divided by 7, and is equivalent to 35-1-1. 26. The equality... | |
 | William Smyth - 1861 - 352 pages
...3 b by 9cd, the division, it is easy to see, cannot be performed; we therefore express the quotient by writing the divisor under the dividend in the form of a fraction. 12 as 4 thus, 9cd' 30. The expression is called an algebraic fraction. y cd Fractions of this species... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...or more letters not found in the dividend. In each of these cases, the division is to be indicated by writing the divisor under the dividend, in the form of a fraction, or by the use of negative exponents. EXAMPLES. (1.) (2.) (3.) (4.) Эm2п'ж — — -—— 5 xy z... | |
 | Gerardus Beekman Docharty - Algebra - 1862 - 336 pages
...monomials. Let us divide 2lx'y'z' by 7xyz. The division may be expressed by any one of the forms (Art. 7). Writing the divisor under the dividend in the form of a fraction, we have 2lx'y'z' 7xyz 21 x' y' z' But -^-=3, and — =x, ——y, —=z; hence 7 xyz -=3xyz. 7xyz Again,... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...more literal factors not found in the dividend. In each of these cases the division ia to be indicated by writing the divisor under the dividend, in the form of a fraction. This fraction may often be reduced to lower terms. See Art. 119. ART. 73. It has been shown, in Art.... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...or more literal factors not found in the dividend. In each of these cases, the division is indicated by writing the divisor under the dividend, in the form of a fraction. This fraction may then be reduced, Art. 129. 77. It has been shown, Art. 68, that any product is multiplied... | |
 | Robert Wallace - 1870 - 164 pages
...1. Divide 2lx^'z- by Ixyz. Here, the division may be expressed by any one of the forms iii AKT. 7. Writing the divisor under the dividend in the form of a fraction, we 91 .< .< - 21 x- y- z- ,,, ., , , have -7_££. But-=3,— =a;,—=«, and — =z; hence- -^-T =3a;yz... | |
 | James Cahill (of Dublin.) - Algebra - 1875 - 230 pages
...If a stand for 10, and b for 5, then 0-7-6 will be equal to 2. Division is most frequently indicated by writing the divisor under the dividend in the form of a fraction, thus, i . 8. The sign V (the radical sign) denotes that the square root of the quantity before which it is... | |
 | James Bates Thomson - Algebra - 1878 - 322 pages
...arithmetic. NOTE. — If the letters of the divisor nre not in the dividend, the division is expressed hv writing the divisor under the dividend, in the form of a fraction. 25. What is the quotient of 52 divided by 3?/? Ans. - — Jy 27- — $6x2yz2 -T- 6xyz. 33. g6asb2c... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...is exact division of monomials impossible? In each of these cases, the division is to be indicated by writing the divisor under the dividend, in the form of a fraction, or by the use of negative exponents. EXAMPLES. (1.) (2.) 9 06 12 a4 6s (3.) (4.) 25 r1 « z2 - —... | |
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The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic. 
