...multiplied : the sum is the logarithm of their product. Division is performed by subtracting the logarithm of the divisor from that of the dividend : the remainder is the logarithm of the quotient. The manner in which these operations are carried out, and the method of...

...quotient is negative. (3) In dividing powers of the same base, the exponent of the quotient is obtained by subtracting the exponent of the divisor from that of the dividend. That is, na -=-/»' = /)"-*. (4) In dividing monomials, divide the coefficient of the dividend by that...

...that the value of a quantity is not altered by both multiplying and dividing it by the same quantity. Powers of the same quantity are divided by subtracting...dividend; the remainder is the exponent of the quotient. See the chapter dealing with logarithms. When the divisor is a simple quantity, write it under the...

...under §156. ASSIGNMENT 140 When like factors are divided the exponent of the quotient is obtained by subtracting the exponent of the divisor from that of the dividend. A12 _ _ _ A 12 — 5 _ At A5 ' W5n _ __ W6n— n _ W4n w* -pm + 1 _ ___ TXm + D— (2m— 1) _ Tm +...

...in their exponents. 6. Similar factors are multiplied by adding their exponents. 7. Similar factors are divided by subtracting the exponent of the divisor from that of the dividend. 8. A divisor may be written as a multiplier or vice-versa, if the sign of its exponent be changed....

...number by another is accomplished by dividing the mantissa of the dividend by that of the divisor and subtracting the exponent of the divisor from that of the dividend. The mantissa of the quotient is then normalized and the exponent is appropriately adjusted. The mantissa...

...the exponent of the dividend minus that of the divisor; then let it be required to divide a8 by a3. Subtracting the exponent of the divisor from that of the dividend, the remainder is o, the exponent of the quotient. The quotient is, then, a°. But if a=2, a* = 8, and 8-i-8=i; therefore...