The set of fractions is dense because they are only non-negative. (If false give a reason why.)?

Question

The set of fractions is dense because they are only non-negative.

A convenient zero pair is a pair of additive inverses.

The set of rational numbers is a subset of the set of fractions.

The product of an odd number of negative factors is positive.

The opposite of an integer is a negative.

The product of a fraction and its multiplicative inverse is one.

The sum of an integer and its additive inverse is zero.

Answer 1

A set that can be ordered is called 'dense' if, for any two elements (say a and b with a < b), there exists a third element of the set such that a < c < b. Since this description fits all of the rationals (including the negative ones) the statement is false.
As an aside, a lot of math students are also fairly dense ☺

The next statement it true.

The next one is false.

The next is false.

The next is false.

The next is true.

The last is true.

You really need to study ☺


Doug

Answer 2

1.false

2.true

3.false

4.false

5.true

6.true