Carlotta says that 2/3 may be a rational number because it can be expressed as a fraction, but it is also an irrational number because it equals an endless decimal, 0.666666.... Is she correct?
3 answers
No, Carlotta is incorrect. The number 2/3 is a rational number and not an irrational number. Rational numbers can be expressed as fractions of two integers, and 2/3 satisfies this condition because 2 and 3 are both integers. Furthermore, the decimal representation of 2/3 is not endless; it is a repeating decimal with the pattern 0.666666..., which indicates a finite and repeating set of digits.
short answer for kids
No, Carlotta is not correct. 2/3 is a rational number because it can be written as a fraction of two whole numbers. It is not an irrational number because its decimal representation, 0.666666... is a repeating decimal with a pattern.
3 answers