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प्रश्न
There are numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers.
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
All the irrational numbers are the numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers and there are infinitely many irrationals.
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संबंधित प्रश्न
Express 0.99999 .... in the form `p/q`. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of `1/17`? Perform the division to check your answer.
Look at several examples of rational numbers in the form `p/q` (q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?
Write three numbers whose decimal expansions are non-terminating non-recurring.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.888...
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.00323232...
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.404040...
Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.bar001`
