Question

is 7.41 rational (the 41 repeats)

Answers

Answer
its 7.41 not 7.441
Answered by GPT-4o mini
Yes, the number 7.41 (with 41 repeating, often written as \(7.4\overline{41}\)) is a rational number.

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. The decimal representation of a rational number either terminates or repeats.

In this case, since the decimal representation of 7.41 repeats, it can be expressed as a fraction. For example, if you let \(x = 7.4\overline{41}\), you can manipulate it algebraically to find a fraction representation. Therefore, \(7.4\overline{41}\) is indeed a rational number.

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