Answered

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is 0.3333333 rational or irrational

Sagot :

An irrational number is a number that can not be expressed in a rational form, that is, as a fraction of two rational numbers.

In this case, we have the number 0.33... (periodic).

This is the decimal expression for one third:

[tex]0.33\ldots=\frac{0.99..}{3}=\frac{1}{3}[/tex]

It is a rational number and it is equal to 1/3.

Observation: in the case we are talking about 0.3333333 (not periodic), it is a rational number also:

[tex]0.3333333=\frac{3,333,333}{10,000,000}[/tex]

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