π is an ____ number while 227 is a rational number.

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$π$ is an ____ number while $\frac{22}{7}$ is a rational number.

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Detailed Solution

π

is an irrational number while

\frac{22}{7}

is a rational number.
Given numbers are

π

and

\frac{22}{7}

.
Rational numbers are numbers that are expressed as fractions. They can be positive, negative or zero. Rational numbers are of the form

\frac{p}{q}

, where q≠0.
The value

\frac{22}{7}

is a rational number, as it can be expressed in the form

\frac{p}{q}

. We consider it as an approximate value of

π

because

π

is close to

\frac{22}{7}

. But actually, its value is

3.14159 . . . .

, which is neither terminating nor repeating. Thus,

π

is irrational, but

\frac{22}{7}

is rational.
Therefore, the correct answer is irrational.

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