Verified Answer :

danielmaduroh

A rational number can be written in the form:


\(\frac{p}{q}; \ called \ the \ ratio \\ \\ where \ p \ and \ q \ are \ whole \ numbers\)

The number \($q$\) isn't equal to zero because the division by zero is not defined. So we can represent rational numbers by a repeating or terminating decimal, for instance in the following four exercises we have:

\(\frac{2}{3}=0.6666...=0.\stackrel{\frown}{6} \\ \\ \frac{5}{8}=0.625000...=0.625\stackrel{\frown}{0} \\ \\ \frac{3}{1}=3.000...=3.\stackrel{\frown}{0} \\ \\ \frac{3446}{2475}=1.392323...=1.39\stackrel{\frown}{23}\)

calculista

we know that

A rational number is the quotient of two integers with a denominator that is not zero
, and can be represented by a repeating or terminating decimal.

Repeating Decimal is a decimal number that has digits that go on forever

Terminating decimal is a decimal number that has digits that do not go on forever.

examples

\(\frac{1}{3} = 0.333...\) (the \(3\) repeats forever)----> Is a Repeating Decimal

\(0.25\) (it has two decimal digits)----> Is a Terminating Decimal

therefore

the answer is

A rational number can be written as the ratio of one \(integer\) to another and can be represented by a repeating or \(terminating\) decimal

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