Irrational numbers, like 0.01020304..., can be written as a fraction.

Question

(1 point)
True, all decimals can be written as a fraction
• False, any decimal that does not terminate or repeat is rational.
False, any decimal that does not terminate or repeat cannot be written as a fraction.
True, decimals that do not terminate can always be written as a fraction

Answer 1

The correct statement is:

False, any decimal that does not terminate or repeat cannot be written as a fraction.

Irrational numbers are defined as numbers that cannot be expressed as a fraction of two integers. Decimals that do not terminate or repeat represent irrational numbers. For example, the decimal \(0.01020304...\) is not a repeating decimal and thus would be considered rational, depending on the context of its representation, but generally, a decimal that does not have a repeating pattern and does not terminate cannot be expressed as a fraction.