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Is 1.0227 a rational number?Explain

User Choxx
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2 Answers

3 votes
yes rational number

Başarılar
User Zootropo
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5.6k points
4 votes

Answer:

The answer is YES.

Explanation:

In order to determine if the number is rational, we have to know about rational numbers.

The rational numbers can be written as a fraction, where we can use integers in the numerator and the denominator. Also the decimal numbers are rational because, depending on the decimal number, we can express them as a fraction.

There are three types of decimal numbers:

  1. finite decimal numbers.
  2. semi finite decimal numbers.
  3. infinite decimal numbers.

In this case, we have a finite decimal number, so we can write it as a fraction. The rule is moving the decimal point until the end, so we will have the integer number in the numerator. In the denominator, we have a 10 and as many zeros as the spaces that we moved the decimal point.

So,


1.0227\\\\(10227)/(10000)

Finally, the answer is YES.

User Noam Ban Ishay
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7.0k points