Question

Which of these nonterminating decimals can be converted into a rational number?

Answer 1

The non-terminating decimal that can be converted into a rational number is given by:

0.321321321.

What are rational and irrational numbers?

• Rational numbers are numbers that can be represented by fractions, with examples such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

• Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots, and the most common example of an irrational number is the number pi = 3.1415....

In the context of this problem, we are given four non-terminating decimal numbers, in which the only one with a repeating decimal pattern is:

0.321321321...

In which the pattern is:

321.

Hence the number can be written as the following rational number = fraction:

321/999.

With 999 being due to the fact that the repeating pattern is composed by three digits.

More can be learned about rational numbers at brainly.com/question/12088221

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