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

Question

options:

False, any decimal that does not terminate or repeat is rational.
False, any decimal that does not terminate or repeat is rational.

True, all decimals can be written as a fraction
True, all decimals can be written as a fraction

True, decimals that do not terminate can always be written as a fraction
True, decimals that do not terminate can always be written as a fraction

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

Answer 1

The correct answer is:

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

Irrational numbers, by definition, cannot be expressed as fractions of integers. Decimals that do not terminate or repeat (like 0.01020304...) are examples of irrational numbers. In contrast, rational numbers are those that can be expressed as a fraction of two integers and include decimals that either terminate or repeat.