Can Decimals Be Rational Numbers?

In general, any decimal that ends after a number of digits such as 7.3 or −1.2684 is a rational number. We can use the place value of the last digit as the denominator when writing the decimal as a fraction.

Can a decimal number be rational number?

Is Every Decimal Number Represented as a Rational Number? No, every decimal number can not be represented as a rational number. Non-terminating and non-repeating digits to the right of the decimal point cannot be expressed in the form p/q hence they are not rational numbers.

Is 0.333 a rational number?

A rational number is any number that can be written as a ratio. Think of a ratio kind of like a fraction, functionally at least. For example, 0.33333 is a repeating decimal that comes from the ratio of 1 to 3, or 1/3. Thus, it is a rational number.

Maya Lin-Takahashi

Maya Lin-Takahashi

Consumer Tech & Gadget Reviewer

Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.