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Define rational numbers .
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Rational numbers: The numbers of the form`p/q` where ЁЭСЭ,ЁЭСЮ are integers and ЁЭСЮ≠0 are called rational numbers.
Example: `2/3`
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Classify the numbers `22/7` as rational or irrational:
State whether the given statement is true or false:
1 . The product of two rationals is always rational
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
State Euclid's division lemma.
Has the rational number \[\frac{441}{2^2 \times 5^7 \times 7^2}\] a terminating or a nonterminating decimal representation?
Write down the decimal expansion of the following number which have terminating decimal expansion.
`64/455`
Write down the decimal expansion of the following number which have terminating decimal expansion.
`29/343`
Find a rational number between `sqrt(2) "and" sqrt(7)`.
The smallest number by which `1/13` should be multiplied so that its decimal expansion terminates after two decimal places is ______.
Without actually performing the long division, find if `987/10500` will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.
