
Concept explainers
To check: Whether the statement “The rational numbers consist of all numbers that can be named in terminating or repeating decimal notation” is true or false.

Answer to Problem 1MC
The given statement is true.
Explanation of Solution
Note that number that can be written as a fraction is a rational number.
Both terminating and repeating decimals can be considered as rational numbers because they can be written as a ratio of two integers.
For example the terminating decimal number 0.1 can be written as
Therefore, if a number is repeating or terminating then it must be a rational.
So, it can be concluded that the rational numbers consist of all numbers that can be named in terminating or repeating decimal notation.
Therefore, the statement is true.
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Chapter 10 Solutions
Basic College Mathematics (12th Edition)
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