Question

A rational number can be written as the ratio of one blank to another and can be represented by a repeating or blank decimal

Answer 1

A rational number can be written in the form:


`(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:


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

Answer 2

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

`(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