Question

(25 points) Which list contains only rational numbers?

A. 0, 1/2, 1.5, 2.82843
B. -4, 0, 1/4, 1.5
C. 0.894427, 4, -1, 2.454545...
D. -2, 1, 2.6666..., 1.22474

Answer 1

A rational number is any number that can be wrote as a fraction (p/q). A rational number is the quotient or fraction of two integers. It is seen as a ratio of two integers as well. Repeating/terminating decimals are also rational numbers as they can be shown as the ratio of two integers. (p/q) the fraction, will have both the numerator and denominator being whole numbers.

what we can do: Look at each number in the sequences and see which will have only rational numbers. A: 0 is rational, 1/2 is rational because it is a ratio of two integers, 1.5 is rational because it can be written as 3/2, and 2.82843 is rational because it can be wrote over one as a ratio of two integers.

So A is the only list that contains only rational numbers.