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MP Identify Structure Give an example of

a decimal where three digits repeat.
Explain why it is a rational number.

1 Answer

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Final answer:

A repeating decimal has three digits that repeat continuously in the decimal representation. An example is 0.1212.


Step-by-step explanation:

A decimal where three digits repeat is often referred to as a repeating decimal. An example of such a decimal is 0.1212. In this decimal, the digits 12 repeat continuously. It can be expressed as a fraction by setting up an equation where x is equal to 0.121212... and multiplying both sides by 100 to eliminate the repeating part. This simplifies to 100x = 12.121212...


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