SOLUTION: Of the following sets of numbers, irrational, rational terminating integer, rational repeating, and rational terminating; which set does the following numbers belong? a. 1/3 b. 1

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Question 756913: Of the following sets of numbers, irrational, rational terminating integer, rational repeating, and rational terminating; which set does the following numbers belong?
a. 1/3
b. 1/4
c. the square root of 17
d. the square root of 9
Answer by fcabanski(1391) About Me  (Show Source):
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a. 1/3 - any number that can be written as a fraction of two integers is rational. 1/3 = .333...repeating, so this is a rational, repeating decimal number.


b. 1/4 = .25, this is a rational, terminating decimal number.


c. the square root of 17 - irrational. It cannot be expressed as a fraction of two integers.


d. the square root of 9 = 3. This is a rational number because it can be represented as a fraction of two integers. 3/1.


There is no such thing as a rational terminating integer. Terminating/repeating has to do with decimals. Integers have no decimals, so aren't described as terminating or repeating.