Question

Question 5 of 15

Which statement is true?
A. All rational numbers are either integers or whole numbers.
B. All rational numbers can be written as integers.
C. All irrational numbers can be written as integers.
D. All real numbers are either rational or irrational.

Answer 1

D. All real numbers are either rational or irrational.

Explanation:

You want to know the true statement about the sets of rational, irrational, integer, and whole numbers.

Rational numbers

A rational number is one that can be written as the ratio of two integers. All integers and whole numbers are rational, but not all rational numbers are integers.

3 = 3/1 . . . . an integer that is written as a rational number

1/2 . . . . . . . a rational number that is not an integer

Irrational numbers

An irrational number is a number that cannot be written as a ratio of two integers. √2 is an example of an irrational number. Its decimal representation has a fractional part that is never-ending and never-repeating.

The decimal part of any real number either terminates, repeats, or neither. If the number terminates or repeats, it is a rational number. If it doesn't, then it is an irrational number.

D. All real numbers are either rational or irrational.

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