Question

Uestion 3 of

The number 0.1111... repeats forever; therefore, it is irrational.
O A. True
OB. False
SUBMIT

Answer 1

The claim that 0.1111... is an irrational number is false because it can be expressed as a fraction.

Step-by-step explanation:

The number 0.1111... is an example of a repeating decimal. A repeating decimal is a decimal number that has a pattern of digits that repeats infinitely. In this case, the digit 1 is repeated infinitely, hence the notation 0.1111... The claim that 0.1111... is an irrational number is false. A rational number can be expressed as the quotient of two integers, and 0.1111... can be written as the fraction 1/9, which is the result of dividing the repeating digit 1 by the repeating digit 9.

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