\nThe following is by my understanding.<\/p>\n
\nIn math, the density property is applicable to some number sets. The integers aren’t dense on the number line, but the rationals are.<\/p>\n
\nThe density property applies to a set of numbers if, for any two members of it, arbitrarily many another members of it can be found between those two.<\/p>\n
\nIntegers (….-3,-2,-1,0,1,2,3….) aren’t dense on the number line; therefore, the density property doesn’t apply to the set of integers. Confirmation of this is that there isn’t an integer between 2 and 3.<\/p>\n
\nThe density property does apply to the set of rational numbers: between a\/b and a\/(b+1) is a\/(b+0.5), where a and b are members of the rational numbers, a\u22600, and b\u2209{0,-1,-0.5}. For example, 30\/75 is between 3\/7 and 3\/8.<\/p>\n
\nSource:<\/p>\n
\nTravers,K.J., Dalton,L.C., Brunner,V.F., Taylor,A.R. (1977). Using Advanced Algebra.<\/em> Doubleday Canada Limited.<\/p>\nJack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":" Tutoring math, the density property is important. The tutor mentions it. The following is by my …<\/p>\n