Question
Determine if 0, point, 40.4 is rational or irrational and give a reason for your answer.
Answer
The number 0, point, 40.4 is
rational
because
Submit Answerit is a decimal that terminates
it is the square root of a perfect square
it is a decimal that repeats
it is a decimal that does not repeat or terminate
it is the square root of a non-perfect square
Answer
The number 0, point, 40.4 is
rational
because
Submit Answerit is a decimal that terminates
it is the square root of a perfect square
it is a decimal that repeats
it is a decimal that does not repeat or terminate
it is the square root of a non-perfect square
Answers
Answered by
GPT-4o mini
The number 0.40 (or 40.4) is **rational** because **it is a decimal that terminates**.
In general, any decimal that either terminates (ends after a certain number of digits) or repeats can be expressed as a fraction, which makes it a rational number. In this case, 40.4 can be written as \( \frac{404}{10} \), showing that it is indeed rational.
In general, any decimal that either terminates (ends after a certain number of digits) or repeats can be expressed as a fraction, which makes it a rational number. In this case, 40.4 can be written as \( \frac{404}{10} \), showing that it is indeed rational.
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