Final answer:
The number 0.71717171... is a rational number because it has a repeating pattern and can be expressed as the fraction 71/99. Therefore, the statement that 0.71717171... is a rational number is A TRUE.
Step-by-step explanation:
The number 0.71717171... is a rational number because it has a repeating pattern and can be expressed as the fraction 71/99. Therefore, the statement that 0.71717171... is a rational number is A TRUE.The question is whether the number 0.71717171... is a rational number.
A rational number is a number that can be expressed as the quotient of two integers, where the denominator is not zero. The number in question has a repeating pattern, which means it can be written as a fraction. For example, if we let x equal 0.71717171..., then 100x would be 71.71717171... Subtracting x from 100x (100x - x) gives us 99x = 71, which when solved for x gives x = 71/99, clearly a fraction. Therefore, the number 0.71717171... is a rational number, and the answer to the question should be A TRUE.