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Multiple Representations Is the decimal form of 16/3 a rational number?
A. No
B. Yes

1 Answer

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Final answer:

The decimal form of 16/3, which is 5.333..., is a rational number because it can be expressed as a fraction of two integers, and it represents a repeating decimal.

Step-by-step explanation:

The question asks whether the decimal form of 16/3 is a rational number. A rational number is defined as a number that can be expressed as the quotient or fraction p/q of two integers, where p and q are integers and q is not zero. In this case, 16 and 3 are both integers, and 3 is not zero, so 16/3 is indeed a rational number. When we convert 16/3 into decimal form, we get 5.333..., where the sequence of 3's repeats indefinitely. This repeating decimal is another hallmark of a rational number. Therefore, the answer to the question is Yes, the decimal form of 16/3 is a rational number.

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