Division of Rational Numbers
The result of dividing two rational numbers is another rational number when the divisor is not 0. We may define division of two rational numbers p/q and r/s by
All four quantities are integers, and only p may be 0. This definition ensures that division is the inverse operation of multiplication.
Read more about this topic: Division (mathematics)
Famous quotes containing the words division of, division, rational and/or numbers:
“For in the division of the nations of the whole earth he set a ruler over every people; but Israel is the Lords portion: whom, being his firstborn, he nourisheth with discipline, and giving him the light of his love doth not forsake him. Therefore all their works are as the sun before him, and his eyes are continually upon their ways.”
—Apocrypha. Ecclesiasticus 17:17-9.
“Dont order any black things. Rejoice in his memory; and be radiant: leave grief to the children. Wear violet and purple.... Be patient with the poor people who will snivel: they dont know; and they think they will live for ever, which makes death a division instead of a bond.”
—George Bernard Shaw (18561950)
“... the happiness of a people is the only rational object of government, and the only object for which a people, free to choose, can have a government at all.”
—Frances Wright (17951852)
“The principle of majority rule is the mildest form in which the force of numbers can be exercised. It is a pacific substitute for civil war in which the opposing armies are counted and the victory is awarded to the larger before any blood is shed. Except in the sacred tests of democracy and in the incantations of the orators, we hardly take the trouble to pretend that the rule of the majority is not at bottom a rule of force.”
—Walter Lippmann (18891974)